COMPOSITION CONTAINING REFRIGERANT, USE OF SAME, FREEZER HAVING SAME, AND METHOD FOR OPERATING SAID FREEZER

Information

  • Patent Application
  • 20220177762
  • Publication Number
    20220177762
  • Date Filed
    December 13, 2021
    3 years ago
  • Date Published
    June 09, 2022
    2 years ago
Abstract
An object of the present disclosure is to provide a novel low-GWP mixed refrigerant. To solve this problem, the present disclosure provides a composition comprising a refrigerant, the refrigerant comprising trans-1,2-difluoroethylene (HFO-1132(E)), trifluoroethylene (HFO-1123), 1,3,3,3-tetrafluoropropene (R1234ze), and difluoromethane (R32).
Description
TECHNICAL FIELD

The present disclosure relates to a composition comprising a refrigerant, use of the composition, a refrigerating machine having the composition, and a method for operating the refrigerating machine.


BACKGROUND ART

R410A is currently used as an air conditioning refrigerant for home air conditioners etc. R410A is a two-component mixed refrigerant of difluoromethane (CH2F2: HFC-32 or R32) and pentafluoroethane (C2HF5: HFC-125 or R125), and is a pseudo-azeotropic composition.


However, the global warming potential (GWP) of R410A is 2088. Due to growing concerns about global warming, R32, which has a GWP of 675, has been increasingly used.


For this reason, various low-GWP mixed refrigerants that can replace R410A have been proposed (PTL 1).


CITATION LIST
Patent Literature
PTL 1: WO2015/141678
SUMMARY

A composition comprising a refrigerant, the refrigerant comprising trans-1,2-difluoroethylene (HFO-1132(E)), trifluoroethylene (HFO-1123), 1,3,3,3-tetrafluoropropene (R1234ze), and difluoromethane (R32).


Advantageous Effects

The refrigerant according to the present disclosure has a low GWP.





BRIEF DESCRIPTION OF DRAWINGS


FIG. 1 is a schematic view of an apparatus used in a flammability test.



FIG. 2 is a diagram showing points A to D, G, G′, I to K, N, M, I, and Q, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is 100 mass %.



FIG. 3 is a diagram showing points A to D, G, G′, I to K, N, M, I, and Q, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is 94.7 mass % (R32 content is 5.3 mass %).



FIG. 4 is a diagram showing points A to D, G, G′, I to K, N, M, I, and Q, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is 88.9 mass % (R32 content is 11.1 mass %).



FIG. 5 is a diagram showing points A, B, G, G′, I to K, N, M, I, O, and Q, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is 83.6 mass % (R32 content is 16.4 mass %).



FIG. 6 is a diagram showing points A, B, G, I to K, N, M, I, O, and Q, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is 73.4 mass % (R32 content is 26.6 mass %).



FIG. 7 is a diagram showing points A, B, G, I to K, N, M, I, O, and Q, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is 64.7 mass % (R32 content is 35.3 mass %).



FIG. 8 is a diagram showing points A, B, G, I to K, N, M, I, O, and Q, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is 56.2 mass % (R32 content is 43.8 mass %).



FIG. 9 is a diagram showing points A, B, G, I to K, N, M, I, O, and Q, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is 52.2 mass % (R32 content is 47.8 mass %).



FIG. 10 is a diagram showing points Ar, Br, C, Dr, G, G′r, J, and Kr, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, R1234yf, and R1234ze is 100 mass %.



FIG. 11 is a diagram showing points Ar, Br, C, Dr, G, G′r, J, and Kr, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, R1234yf, and R1234ze is 94.7 mass % (R32 content is 5.3 mass %), when the ratio of R1234yf to the sum of R1234yf and R1234ze is r.



FIG. 12 is a diagram showing points Ar, Br, C, Dr, G, G′r, J, Kr, and O, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, R1234yf, and R1234ze is 88.9 mass % (R32 content is 11.1 mass %), when the ratio of R1234yf to the sum of R1234yf and R1234ze is r.



FIG. 13 is a diagram showing points Ar, Br, G, Ir, J, Kr, and O, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, R1234yf, and R1234ze is 83.6 mass % (R32 content is 16.4 mass %), when the ratio of R1234yf to the sum of R1234yf and R1234ze is r.



FIG. 14 is a diagram showing points Ar, Br, G, I, J, Kr, and O, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, R1234yf, and R1234ze is 73.4 mass % (R32 content is 26.6 mass %), when the ratio of R1234yf to the sum of R1234yf and R1234ze is r.



FIG. 15 is a diagram showing points G, I, J, Kr, and O, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, R1234yf, and R1234ze is 64.7 mass % (R32 content is 35.3 mass %), when the ratio of R1234yf to the sum of R1234yf and R1234ze is r.



FIG. 16 is a diagram showing points Ar, Br, G, I, J, Kr, and O, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, R1234yf, and R1234ze is 56.2 mass % (R32 content is 43.8 mass %), when the ratio of R1234yf to the sum of R1234yf and R1234ze is r.



FIG. 17 is a diagram showing points Ar, Br, G, I, J, Kr, and O, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, R1234yf, and R1234ze is 52.2 mass % (R32 content is 47.8 mass %), when the ratio of R1234yf to the sum of R1234yf and R1234ze is r.





DESCRIPTION OF EMBODIMENTS

The present inventors conducted intensive studies to solve the above problems, and consequently found that a mixed refrigerant comprising trans-1,2-difluoroethylene (HFO-1132(E)), 2,3,3,3-tetrafluoro-1-propene (R1234yf), trifluoroethylene (HFO-1123), and difluoromethane (R32) has the above properties.


The present disclosure has been completed as a result of further research based on this finding. The present disclosure includes the following embodiments.


Definition of Terms

In the present specification, the term “refrigerant” includes at least compounds that are specified in ISO 817 (International Organization for Standardization), and that are given a refrigerant number (ASHRAE number) representing the type of refrigerant with “R” at the beginning; and further includes refrigerants that have properties equivalent to those of such refrigerants, even though a refrigerant number is not yet given. Refrigerants are broadly divided into fluorocarbon compounds and non-fluorocarbon compounds in terms of the structure of the compounds. Fluorocarbon compounds include chlorofluorocarbons (CFC), hydrochlorofluorocarbons (HCFC), and hydrofluorocarbons (HFC). Non-fluorocarbon compounds include propane (R290), propylene (R1270), butane (R600), isobutane (R600a), carbon dioxide (R744), ammonia (R717), and the like.


In the present specification, the phrase “composition comprising a refrigerant” at least includes (1) a refrigerant itself (including a mixture of refrigerants), (2) a composition that further comprises other components and that can be mixed with at least a refrigeration oil to obtain a working fluid for a refrigerating machine, and (3) a working fluid for a refrigerating machine containing a refrigeration oil. In the present specification, of these three embodiments, the composition (2) is referred to as a “refrigerant composition” so as to distinguish it from a refrigerant itself (including a mixture of refrigerants). Further, the working fluid for a refrigerating machine (3) is referred to as a “refrigeration oil-containing working fluid” so as to distinguish it from the “refrigerant composition.”


In the present specification, when the term “alternative” is used in a context in which the first refrigerant is replaced with the second refrigerant, the first type of “alternative” means that equipment designed for operation using the first refrigerant can be operated using the second refrigerant under optimum conditions, optionally with changes of only a few parts (at least one of the following: refrigeration oil, gasket, packing, expansion valve, dryer, and other parts) and equipment adjustment. In other words, this type of alternative means that the same equipment is operated with an alternative refrigerant. Embodiments of this type of “alternative” include “drop-in alternative,” “nearly drop-in alternative,” and “retrofit,” in the order in which the extent of changes and adjustment necessary for replacing the first refrigerant with the second refrigerant is smaller.


The term “alternative” also includes a second type of “alternative,” which means that equipment designed for operation using the second refrigerant is operated for the same use as the existing use with the first refrigerant by using the second refrigerant. This type of alternative means that the same use is achieved with an alternative refrigerant.


In the present specification, the term “refrigerating machine” refers to machines in general that draw heat from an object or space to make its temperature lower than the temperature of ambient air, and maintain a low temperature. In other words, refrigerating machines refer to conversion machines that gain energy from the outside to do work, and that perform energy conversion, in order to transfer heat from where the temperature is lower to where the temperature is higher.


In the present specification, a refrigerant having “WCF lower flammability” means that the most flammable composition (worst case of formulation for flammability: WCF) has a burning velocity of 10 cm/s or less according to the US ANSI/ASHRAE Standard 34-2013. Further, in the present specification, a refrigerant having “ASHRAE lower flammability” means that the burning velocity of WCF is 10 cm/s or less, that the most flammable fraction composition (worst case of fractionation for flammability: WCFF), which is specified by performing a leakage test during storage, shipping, or use based on ANSI/ASHRAE 34-2013 using WCF, has a burning velocity of 10 cm/s or less, and that the flammability classification according to the US ANSI/ASHRAE Standard 34-2013 is determined to be classified as “Class 2L.”


1. Refrigerant
1.1 Refrigerant Component

The refrigerant according to the present disclosure comprises trans-1,2-difluoroethylene (HFO-1132(E)), trifluoroethylene (HFO-1123), 2,3,3,3-tetrafluoro-1-propene (R1234yf), and difluoromethane (R32). In this specification, this refrigerant is sometimes referred to as “Refrigerant 1.”


The refrigerant according to the present disclosure may further comprise 2,3,3,3-tetrafluoro-1-propene (R1234yf). This refrigerant is sometimes referred to as “Refrigerant 2” in this specification. The refrigerants according to the present disclosure have a low GWP.


The refrigerant according to the present disclosure is preferably a refrigerant wherein


when the mass % of HFO-1132(E), HFO-1123, R1234ze, and R32 based on their sum is respectively represented by x, y, z, and a,


if 0<a≤11.1, coordinates (x, y, z) in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is (100−a) mass % are within the range of a figure surrounded by straight lines GG′, G′B, BD, DC, and CG that connect the following 5 points:


point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),


point G′ (0.0314a2−1.8079a+72.0, −0.0199a2+0.0677a+3.8, 100−a−x−y),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y),


point D (0.0, 0.0234a2+0.0647a+86.3, 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines GG′, G′B, and DC (excluding point B, point D, point C, and point G);


if 11.1<a≤16.4, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GG′, G′B, BO, and OG that connect the following 4 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point G′ (−1.0566a+67.528, −0.3962a+6.4981, 100−a−x−y),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GG′ and G′B (excluding point B, point O, and point G);


if 16.4<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x),


point A (0.0076a2−1.7a+76.031, 0.0, 100−a−x),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI and AB (excluding point C, point I, point A, and point B);


if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:


point G (0.00738a2−1.0762a+65.22, 100−a−x, 0.0),


point I (0.00738a2−1.0762a+65.22, 0.0, 100−a−x),


point A (0.00582a2−1.5915a+74.4, 0.0, 100−a−x),


point B (0.0, 0.00328a2−1.3169a+67.421, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI and AB (excluding point G, point I, point A, and point B); and


if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:


point G (−0.45a+51.91, 100−a−x, 0.0),


point I (−0.45a+51.91, 0.0, 100−a−x),


point A (−1.075a+62.985, 0.0, 100−a−x),


point B (0.0, −1.025a+60.895, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI and AB (excluding point G, point I, point A, and point B). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 85% or more relative to that of R410A, and a COP ratio of 92.5% or more relative to that of R410A, and further ensures a WCF lower flammability.


The refrigerant according to the present disclosure is preferably a refrigerant wherein


when the mass % of HFO-1132(E), HFO-1123, R1234ze, and R32 based on their sum is respectively represented by x, y, z, and a,


if 0<a≤11.1, coordinates (x, y, z) in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is (100−a) mass % are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BD, DC, and CJ that connect the following 8 points:


point J (100−a−y, 0.0072a2−0.1704a+52.9, 0.0),


point Q (0.0112a2−1.3048a+62.1, 96.5−a−x, 3.5),


point N (0.0207a2−1.5817a+65.9, −0.0547a2+1.1392a+21.6, 100−a−x-Y),


point M (0.0278a2−1.7325a+64.5, 80.0−a−x, 20.0),


point K (0.0421a2−2.2419a+62.5, 100−a−x-z, −0.0132a2+0.768a+25.1),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y),


point D (0.0, 0.0234a2+0.0647a+86.3, 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B);


if 11.1<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BO, and OJ that connect the following 7 points:


point J (100−a−y, −0.0285a2+0.5371a+49.443, 0.0),


point Q (0.0166a2−1.382a+62.291, 96.5−a−x, 3.5),


point N (0.0183a2−1.5044a+65.339, −0.0395a2+1.4643a+16.116, 100−a−x−y),


point M (0.0145a2−1.4001a+62.448, 80.0−a−x, 20.0),


point K (0.0184a2−1.7325a+59.763, 100−a−x−z, −0.009a2+0.6996a+25.34),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B);


if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BO, and OJ that connect the following 7 points:


point J (100−a−y, 0.00542a2−1.3598a+75.92, 0.0),


point Q (0.0049a2−0.728a+53.204, 96.5−a−x, 3.5),


point N (0.0075a2−0.971a+58.81, −0.0038a2−0.0303a30.581, 100−a−x−y),


point M (0.0019a2−0.7375a+53.782, 80.0−a−x, 20.0),


point K (0.0086a2−1.2345a+53.442, 100−a−x−z, −0.0045a2+0.4752a+28.157),


point B (0.0, 0.00328a2−1.3169a+67.421, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B); and


if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JN, NM, MK, KA, AB, BO, and OJ that connect the following 7 points:


point J (100−a−y, −0.9a+66.22, 0.0),


point N (−0.425a+49.315, −0.3a+8.86, 100−a−x−y),


point M (−0.525a+48.095, 80.0−a−x, 20.0),


point K (15.9, 0.0, 84.1−a),


point A (−1.075a+62.985, 0.0, 100−a−x),


point B (0.0, −1.025a+60.895, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines NM, MK, KA, and AB (excluding point J and point B). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 85% or more relative to that of R410A, and a COP ratio of 92.5% or more relative to that of R410A, and further ensures an ASHRAE lower flammability.


The refrigerant according to the present disclosure is preferably a refrigerant wherein


when the mass % of HFO-1132(E), HFO-1123, R1234yf, R1234ze, and R32 based on their sum is respectively x, y, z1, z2, and a, the sum of z1 and z2 is z, z1/z is r, and w=−0.00162a2−0.0097a+0.592,


if 0<a≤11.1, and 0<r≤w, coordinates (x, y, z) in a ternary composition diagram whose vertices are a point of (100−a) mass % of HFO-1132(E), a point of (100−a) mass % of HFO-1123, and a point of (100−a) mass % of the sum of R1234yf and R1234ze are within the range of a figure surrounded by straight lines GG′r, G′rBr, BrDr, DrC, and CG that connect the following 5 points:


point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),


point G′r (0.0314a2−1.8079a+72.0, (−0.0708a2+0.9972a−4.8964)r2+(0.0424a2−0.7622a−3.5518)r+(−0.0199a2+0.0677a+3.8), 100−a−x−y),


point Br (0.0, −r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),


point Dr (0.0, (−0.0603a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471a+86.3), 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines GG′r, G′rBr, and DrC (excluding point G, point Br, point Dr, and point C);


if 0<a≤11.1, and w<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrDr, DrC, and CG that connect the following 6 points:


point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),


point I (0.0314a2−1.8079a+72.0, 0.0, 100−a−x),


point Ar ((−0.0031a2+0.0165a−1.6)r2+(0.0095a2−0.2769a−6.0)r+(0.0084a2−1.7237a+76.2), 0.0, 100−a−x),


point Br (0.0, (−a2)r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),


point Dr (0.0, (−0.0603a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471a+86.3), 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines GI, IAr, ArBr, and DrC (excluding point G, point I, point Ar, point Br, point Dr, and point C);


if 11.1<a≤16.4, and 0<r≤w, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GG′r, G′rBr, BrO, and OG that connect the following 4 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point G′, (0.021a2−0.1227a+4.6878, (4.1824a2−114.54a+753.47)r2+(0.0346a2+0.3301a−14.707)r+(−0.0099a2−0.1227a+4.6878), 100−a−x−y),


point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GG′r and G′rBr (excluding point G and point Br);


if 11.1<a≤16.4, and w<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines CI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x),


point Ar ((0.1221a2−4.6027a−34.247)r2+(−0.0564a2+2.0217a−23.397)r+(0.0076a2−1.7a+76.031), 0.0, 100−a−x),


point Br (0.0, (0.0839a2−3.1.38a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br);


if 16.4<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x),


point Ar ((0.1221a2−4.6027a−34.247)r2+(−0.0564a2+2.0217a−23.397)r+(0.0076a2−1.7a+76.031), 0.0, 100−a−x),


point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br);


if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (0.00738a2−1.0762a+65.22, 100−a−x, 0.0),


point I (0.00738a2−1.0762a+65.22, 0.0, 100−a−x),


point Ar ((−0.009465a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.005842a2−1.5915a+74.4), 0.100−a−x),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br); and


if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (−0.45a+51.91, 100−a−x, 0.0),


point I (−0.45a+51.91, 0.0, 100−a−x),


point Ar ((−1.6r2+(0.05a−12.39)r+(−1.075a+62.985), 0.100−a−x),


point Br (0.0, (3.8a−167.84)r2+(−3.8a+155.94)r+(−1.025a+60.895), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 85% or more relative to that of R410A, and a COP ratio of 92.5% or more relative to that of R410A, and further ensures a WCF lower flammability.


The refrigerant according to the present disclosure is preferably a refrigerant wherein


when the mass % of HFO-1132(E), HFO-1123, R1234yf, R1234ze, and R32 based on their sum is respectively x, y, z1, z2, and a, the sum of z1 and z2 is z, z1/z is r, and v=−0.0581a+2.5484,


if 0<a≤11.1, coordinates (x, y, z) in a ternary composition diagram whose vertices are a point of (100−a) mass % of HFO-1132(E), a point of (100−a) mass % of HFO-1123, and a point of (100−a) mass % of the sum of R1234yf and R1234ze are within the range of a figure surrounded by straight lines JKr, KrBr, BrDr, D2C, and CJ that connect the following 5 points:


point J (−0.0072a2−0.8296a+47.1, 100−a−x, 0.0),


point Kr ((−0.0241a2+0.4296a−2.8)r2+(0.033a2−0.6279a+2.0)r+(0.0421a2−2.2419a+62.5), (0.0142a2−0.3016a+1.4)r2+(−0.0167a2+0.2395a−7.9)r+(−0.0289a2+0.4739a+12.4), 100−a−x−y),


point Br (0.0, r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),


point Dr (0.0, (−0.0603a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471x+86.3), 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines JKr, KrBr, BrDr, and DrC (excluding point J, point Br, point Dr, and point C);


if 11.1<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points:


point J (0.0285a2−1.5371a+50.557, 100−a−x, 0.0),


point Kr ((0.0556a2−2.057a+14.984)r2+(−0.0217a2+0.7843a−6.9374)r+(0.0184a2−1.7325a+59.763), (0.0567a2−2.162a+16.817)r2+(−0.0298a2+1.0456a−15.236)r+(−0.0094a2+0.0329a+14.897), 100−a−x−y),


point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr and KrBr (excluding point J and point Br);


if 26.6<a≤35.3, and 0<r≤v, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points:


point J (−0.00542a2+0.3598a+24.08, 100−a−x, 0.0),


point Kr ((−0.2299a+5.7149)r2+(0.1379a−5.069)r+(−0.7011x+45.351), (0.069a−2.4345)r2+(−0.1264a−5.1368)r+(−0.4943a+22.247), 100−a−x−y),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr and KrBr (excluding point J and point Br);


if 26.6<a≤35.3, and v<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points:


point J (−0.00542a2+0.3598a+24.08, 0.0, 100−a−x),


point Kr ((−0.3218a+8.1609)r2+(1.4023a−38.701)r+(−1.3103a+61.555), 0.0, 100−a−x),


point Ar ((−0.00946a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.00584a2−1.5915a+74.4), 0.0, 100−a−x),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br);


if 35.3<a≤43.8, and 0<r≤v, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points:


point J (−0.00542a2+0.3598a+24.08, 100−a−x, 0.0),


point Kr ((0.2824a−12.367)r2+(0.0235a−1.0306)r+(−0.5529a+40.119), (1.1294a−49.468)r+(−0.5647a+24.734), 100−a−x−y),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr and KrBr (excluding point J and point Br);


if 35.3<a≤43.8, and v<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points:


point J (−0.00542a2+0.3598a+24.08, 100−a−x, 0.0),


point Kr ((0.2588a−12.336)r2+(−0.5294a+29.488)r+(0.0706a+12.808), 0.0, 100−a−x)),


point Ar ((−0.00946a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.00584a2−1.5915a+74.4), 0.0, 100−a−x),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br); and


if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points:


point J (−0.1a+33.78, 100−a−x, 0.0),


point Kr (−r2+(−0.2a+15.06)r+15.9, 0.0, 100−a−x),


point Ar (−1.6r2+(0.05a−12.39)r+(−1.075a+62.985), 0.0, 100−a−x),


point Br (0.0, (3.8a−167.84)r2+(−3.8a+155.94)r+(−1.025a+60.895), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 85% or more relative to that of R410A, and a COP ratio of 92.5% or more relative to that of R410A, and further ensures an ASHRAE lower flammability.


Refrigerant 1 according to the present disclosure may further comprise other additional refrigerants in addition to HFO-1132(E), HFO-1123, R1234ze, and R32 as long as the above properties and effects are not impaired. In this respect, the refrigerant according to the present disclosure preferably comprises HFO-1132(E), HFO-1123, R1234ze, and R32 in a total amount of 99.5 mass % or more, more preferably 99.75 mass % or more, and even more preferably 99.9 mass % or more, based on the entire refrigerant.


Further, Refrigerant 2 according to the present disclosure may further comprise other additional refrigerants in addition to HFO-1132(E), HFO-1123, R1234ze, R1234yf, and R32 as long as the above properties and effects are not impaired. In this respect, the refrigerant according to the present disclosure preferably comprises HFO-1132(E), HFO-1123, R1234ze, R1234yf, and R32 in a total amount of 99.5 mass % or more, more preferably 99.75 mass % or more, and even more preferably 99.9 mass % or more, based on the entire refrigerant.


Such additional refrigerants are not limited, and can be selected from a wide range of refrigerants. The mixed refrigerant may comprise a single additional refrigerant, or two or more additional refrigerants.


1.2. Use

The refrigerant according to the present disclosure can be preferably used as a working fluid in a refrigerating machine.


The composition according to the present disclosure is suitable for use as an alternative refrigerant for R410A.


2. Refrigerant Composition

The refrigerant composition according to the present disclosure comprises at least the refrigerant according to the present disclosure, and can be used for the same use as the refrigerant according to the present disclosure. Moreover, the refrigerant composition according to the present disclosure can be further mixed with at least a refrigeration oil to thereby obtain a working fluid for a refrigerating machine.


The refrigerant composition according to the present disclosure further comprises at least one other component in addition to the refrigerant according to the present disclosure. The refrigerant composition according to the present disclosure may comprise at least one of the following other components, if necessary. As described above, when the refrigerant composition according to the present disclosure is used as a working fluid in a refrigerating machine, it is generally used as a mixture with at least a refrigeration oil. Therefore, it is preferable that the refrigerant composition according to the present disclosure does not substantially comprise a refrigeration oil. Specifically, in the refrigerant composition according to the present disclosure, the content of the refrigeration oil based on the entire refrigerant composition is preferably 0 to 1 mass %, and more preferably 0 to 0.1 mass %.


2.1. Water

The refrigerant composition according to the present disclosure may contain a small amount of water. The water content of the refrigerant composition is preferably 0.1 mass % or less based on the entire refrigerant. A small amount of water contained in the refrigerant composition stabilizes double bonds in the molecules of unsaturated fluorocarbon compounds that can be present in the refrigerant, and makes it less likely that the unsaturated fluorocarbon compounds will be oxidized, thus increasing the stability of the refrigerant composition.


2.2. Tracer

A tracer is added to the refrigerant composition according to the present disclosure at a detectable concentration such that when the refrigerant composition has been diluted, contaminated, or undergone other changes, the tracer can trace the changes.


The refrigerant composition according to the present disclosure may comprise a single tracer, or two or more tracers.


The tracer is not limited, and can be suitably selected from commonly used tracers.


Examples of tracers include hydrofluorocarbons, hydrochlorofluorocarbons, chlorofluorocarbons, hydrochlorocarbons, fluorocarbons, deuterated hydrocarbons, deuterated hydrofluorocarbons, perfluorocarbons, fluoroethers, brominated compounds, iodinated compounds, alcohols, aldehydes, ketones, and nitrous oxide (N2O). The tracer is particularly preferably a hydrofluorocarbon, a hydrochlorofluorocarbon, a chlorofluorocarbon, a hydrochlorocarbon, a fluorocarbon, or a fluoroether.


The following compounds are preferable as tracers.

  • FC-14 (tetrafluoromethane, CF4)
  • HCC-40 (chloromethane, CH3Cl)
  • HFC-23 (trifluoromethane, CHF3)
  • HFC-41 (fluoromethane, CH3Cl)
  • HFC-125 (pentafluoroethane, CF3CHF2)
  • HFC-134a (1,1,1,2-tetrafluoroethane, CF3CH2F)
  • HFC-134 (1,1,2,2-tetrafluoroethane, CHF2CHF2)
  • HFC-143a (1,1,1-trifluoroethane, CF3CH3)
  • HFC-143 (1,1,2-trifluoroethane, CHF2CH2F)
  • HFC-152a (1, 1-difluoroethane, CHF2CH3)
  • HFC-152 (1,2-difluoroethane, CH2FCH2F)
  • HFC-161 (fluoroethane, CH3CH2F)
  • HFC-245fa (1,1,1,3,3-pentafluoropropane, CF3CH2CHF2)
  • HFC-236fa (1,1,1,3,3,3-hexafluoropropane, CF3CH2CF3)
  • HFC-236ea (1,1,1,2,3,3-hexafluoropropane, CF3CHFCHF2)
  • HFC-227ea (1,1,1,2,3,3,3-heptafluoropropane, CF3CHFCF3)
  • HCFC-22 (chlorodifluoromethane, CHClF2)
  • HCFC-31 (chlorofluoromethane, CH2ClF)
  • CFC-1113 (chlorotrifluoroethylene, CF2═CClF)
  • HFE-125 (trifluoromethyl-difluoromethyl ether, CF3OCHF2)
  • HFE-134a (trifluoromethyl-fluoromethyl ether, CF3OCH2F)
  • HFE-143a (trifluoromethyl-methyl ether, CF3OCH3)
  • HFE-227ea (trifluoromethyl-tetrafluoroethyl ether, CF3OCHFCF3)
  • HFE-236fa (trifluoromethyl-trifluoroethyl ether, CF3OCH2CF3)


The refrigerant composition according to the present disclosure may contain one or more tracers at a total concentration of about 10 parts per million by weight (ppm) to about 1000 ppm based on the entire refrigerant composition. The refrigerant composition according to the present disclosure may preferably contain one or more tracers at a total concentration of about 30 ppm to about 500 ppm, and more preferably about 50 ppm to about 300 ppm, based on the entire refrigerant composition.


2.3. Ultraviolet Fluorescent Dye

The refrigerant composition according to the present disclosure may comprise a single ultraviolet fluorescent dye, or two or more ultraviolet fluorescent dyes.


The ultraviolet fluorescent dye is not limited, and can be suitably selected from commonly used ultraviolet fluorescent dyes.


Examples of ultraviolet fluorescent dyes include naphthalimide, coumarin, anthracene, phenanthrene, xanthene, thioxanthene, naphthoxanthene, fluorescein, and derivatives thereof. The ultraviolet fluorescent dye is particularly preferably either naphthalimide or coumarin, or both.


2.4. Stabilizer

The refrigerant composition according to the present disclosure may comprise a single stabilizer, or two or more stabilizers.


The stabilizer is not limited, and can be suitably selected from commonly used stabilizers.


Examples of stabilizers include nitro compounds, ethers, and amines.


Examples of nitro compounds include aliphatic nitro compounds, such as nitromethane and nitroethane; and aromatic nitro compounds, such as nitro benzene and nitro styrene.


Examples of ethers include 1,4-dioxane.


Examples of amines include 2,2,3,3,3-pentaflucropropylamine and diphenylamine.


Examples of stabilizers also include butylhydroxyxylene and benzotriazole.


The content of the stabilizer is not limited. Generally, the content of the stabilizer is preferably 0.01 to 5 mass %, and more preferably 0.05 to 2 mass %, based on the entire refrigerant.


2.5. Polymerization Inhibitor

The refrigerant composition according to the present disclosure may comprise a single polymerization inhibitor, or two or more polymerization inhibitors.


The polymerization inhibitor is not limited, and can be suitably selected from commonly used polymerization inhibitors.


Examples of polymerization inhibitors include 4-methoxy-1-naphthol, hydroquinone, hydroquinone methyl ether, dimethyl-t-butylphenol, 2,6-di-tert-butyl-p-cresol, and benzotriazole.


The content of the polymerization inhibitor is not limited. Generally, the content of the polymerization inhibitor is preferably 0.01 to 5 mass %, and more preferably 0.05 to 2 mass %, based on the entire refrigerant.


3. Refrigeration Oil-Containing Working Fluid

The refrigeration oil-containing working fluid according to the present disclosure comprises at least the refrigerant or refrigerant composition according to the present disclosure and a refrigeration oil, for use as a working fluid in a refrigerating machine. Specifically, the refrigeration oil-containing working fluid according to the present disclosure is obtained by mixing a refrigeration oil used in a compressor of a refrigerating machine with the refrigerant or the refrigerant composition. The refrigeration oil-containing working fluid generally comprises 10 to 50 mass % of refrigeration oil.


3.1. Refrigeration Oil

The composition according to the present disclosure may comprise a single refrigeration oil, or two or more refrigeration oils.


The refrigeration oil is not limited, and can be suitably selected from commonly used refrigeration oils. In this case, refrigeration oils that are superior in the action of increasing the miscibility with the mixture and the stability of the mixture, for example, are suitably selected as necessary.


The base oil of the refrigeration oil is preferably, for example, at least one member selected from the group consisting of polyalkylene glycols (PAG), polyol esters (POE), and polyvinyl ethers (PVE).


The refrigeration oil may further contain additives in addition to the base oil. The additive may be at least one member selected from the group consisting of antioxidants, extreme-pressure agents, acid scavengers, oxygen scavengers, copper deactivators, rust inhibitors, oil agents, and antifoaming agents.


A refrigeration oil with a kinematic viscosity of 5 to 400 cSt at 40° C. is preferable from the standpoint of lubrication.


The refrigeration oil-containing working fluid according to the present disclosure may further optionally contain at least one additive. Examples of additives include compatibilizing agents described below.


3.2. Compatibilizing Agent

The refrigeration oil-containing working fluid according to the present disclosure may comprise a single compatibilizing agent, or two or more compatibilizing agents.


The compatibilizing agent is not limited, and can be suitably selected from commonly used compatibilizing agents.


Examples of compatibilizing agents include polyoxyalkylene glycol ethers, amides, nitriles, ketones, chlorocarbons, esters, lactones, aryl ethers, fluoroethers, and 1,1,1-trifluoroalkanes. The compatibilizing agent is particularly preferably a polyoxyalkylene glycol ether.


4. Method for Operating Refrigerating Machine

The method for operating a refrigerating machine according to the present disclosure is a method for operating a refrigerating machine using the refrigerant according to the present disclosure.


Specifically, the method for operating a refrigerating machine according to the present disclosure comprises the step of circulating the refrigerant according to the present disclosure in a refrigerating machine.


The embodiments are described above; however, it will be understood that various changes in forms and details can be made without departing from the spirit and scope of the claims.


Item 1.


A composition comprising a refrigerant, the refrigerant comprising trans-1,2-difluoroethylene (HFO-1132(E)), trifluoroethylene (HFO-1123), 1,3,3,3-tetrafluoropropene (R1234ze), and difluoromethane (R32).


Item 2.


The composition according to Item 1,


wherein


when the mass % of HFO-1132(E), HFO-1123, R1234ze, and R32 based on their sum in the refrigerant is respectively represented by x, y, z, and a,


if 0<a≤11.1, coordinates (x, y, z) in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is (100−a) mass % are within the range of a figure surrounded by straight lines GG′, G′B, BD, DC, and CC that connect the following 5 points:


point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),


point G′ (0.0314a2−1.8079a+72.0, −0.0199a2+0.0677a+3.8, 100−a−x−y),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y),


point D (0.0, 0.0234a2+0.0647a+86.3, 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines GG′, G′B, and DC (excluding point B, point D, point C, and point G);


if 11.1<a≤16.4, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GG′, G′B, BO, and OG that connect the following 4 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point G′ (−1.0566a+67.528, −0.3962a+6.4981, 100−a−x−y),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GG′ and G′B (excluding point B, point O, and point G);


if 16.4<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x),


point A (0.0076a2−1.7a+76.031, 0.0, 100−a−x),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), and


point O(0.0, 100−a, 0.0),


or on the straight lines GI and AB (excluding point G, point I, point A, and point B);


if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:


point G (0.00738a2−1.0762a+65.22, 100−a−x, 0.0),


point I (0.00738a2−1.0762a+65.22, 0.0, 100−a−x),


point A (0.00582a2−1.5915a+74.4, 0.0, 100−a−x),


point B (0.0, 0.00328a2−1.3169a+67.421, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI and AB (excluding point G, point I, point A, and point B); and


if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:


point G (−0.45a+51.91, 100−a−x, 0.0),


point I (−0.45a+51.91, 0.0, 100−a−x),


point A (−1.075a+62.985, 0.0, 100−a−x),


point B (0.0, −1.025a+60.895, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI and AB (excluding point G, point I, point A, and point B).


Item 3.


The composition according to Item 1,


wherein


when the mass % of HFO-1132(E), HFO-1123, R1234ze, and R32 based on their sum in the refrigerant is respectively represented by x, y, z, and a,


if 0<a≤11.1, coordinates (x, y, z) in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is (100−a) mass % are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BD, DC, and CJ that connect the following 8 points:


point J (100−a−y, 0.0072a2−0.1704a+52.9, 0.0),


point Q (0.0112a2−1.3048a+62.1, 96.5−a−x, 3.5),


point N (0.0207a2−1.5817a+65.9, −0.0547a2+1.1392a+21.6, 100−a−x−y),


point M (0.0278a2−1.7325a+64.5, 80.0−a−x, 20.0),


point K (0.0421a2−2.2419a+62.5, 100−a−x−z, −0.0132a2+0.768a+25.1),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y),


point D (0.0, 0.0234a2+0.0647a+86.3, 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B);


if 11.1<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BO, and OJ that connect the following 7 points:


point J (100−a−y, −0.0285a2+0.5371a+49.443, 0.0),


point Q (0.0166a2−1.382a+62.291, 96.5−a−x, 3.5),


point N (0.0183a2−1.5044a+65.339, −0.0395a2+1.4643a+16.116, 100−a−x−y),


point M (0.0145a2−1.4001a+62.448, 80.0−a−x, 20.0),


point K (0.0184a2−1.7325a+59.763, 100−a−x−z, −0.009a2+0.6996a+25.34),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B);


if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BO, and OJ that connect the following 7 points:


point J (100−a−y, 0.00542a2−1.3598a+75.92, 0.0),


point Q (0.0049a2−0.728a+53.204, 96.5−a−x, 3.5),


point N (0.0075a2−0.971a+58.81, −0.0038a2−0.0303a+30.581, 100−a−x−y)


point M (0.0019a2−0.7375a+53.782, 80.0−a−x, 20.0),


point K (0.0086a2−1.2345a+53.442, 100−a−x−z, −0.0045a2+0.4752a+28.157),


point B (0.0, 0.00328a2−1.3169a+67.421, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B); and


if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JN, NM, MK, KA, AB, BO, and OJ that connect the following 7 points:


point J (100−a−y, −0.9a+66.22, 0.0),


point N (−0.425a+49.315, −0.3a+8.86, 100−a−x−y),


point M (−0.525a+48.095, 80.0−a−x, 20.0),


point K (15.9, 0.0, 84.1−a),


point A (−1.075a+62.985, 0.0, 100−a−x),


point B (0.0, −1.025a+60.895, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines NM, MK, KA, and AB (excluding point J and point B).


Item 4.


The composition according to Item 1,


wherein the refrigerant further comprises 2,3,3,3-tetrafluoro-1-propene (R1234yf).


Item 5.


The composition according to Item 4,


wherein


when the mass % of HFO-1132(E), HFO-1123, R1234yf, R1234ze, and R32 based on their sum in the refrigerant is respectively x, y, z1, z2, and a, the sum of z1 and z2 is z, z1/z is r, and w=−0.00162a2−0.0097a+0.592,


if 0<a≤11.1, and 0<r≤w, coordinates (x, y, z) in a ternary composition diagram whose vertices are a point of (100−a) mass % of HFO-1132(E), a point of (100−a) mass % of HFO-1123, and a point of (100−a) mass % of the sum of R1234yf and R1234ze are within the range of a figure surrounded by straight lines GG′r, G′rBr, BrDr, DrC, and CC that connect the following 5 points:


point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),


point G′r (0.0314a2 1.8079a+72.0, (−0.0708a2+0.9972a−4.8964)r2+(0.0424a2−0.7622a−3.5518)r+(−0.0199a2+0.0677a+3.8), 100−a−x−y),


point Br (0.0, −r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),


point Dr (0.0, (−0.06 03a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471a+86.3), 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines GG′r, G′rBr, and DrC (excluding point G, point Br, point Dr, and point C);


if 0<a≤11.1, and w<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrDr, DrC, and CG that connect the following 6 points:


point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),


point I (0.0314a2−1.8079a+72.0, 0.0, 100−a−x),


point Ar ((−0.0031a2+0.0165a−1.6)r2+(0.0095a2−0.2769a−6.0)r+(0.0084a2−1.7237a+76.2), 0.0, 100−a−x),


point Br (0.0, (−a2)r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),


point Dr (0.0, (−0.0603a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471a+86.3), 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines GI, IAr, ArBr, and DrC (excluding point G, point I, point Ar, point Br, point Dr, and point C);


if 11.1<a≤16.4, and 0<r≤w, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GG′r, G′rBr, BrO, and OG that connect the following 4 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point G′r (0.021a2−0.1227a+4.6878, (4.1824a2−114.54a+753.47)r2+(0.0346a2+0.3301a−14.707)r+(−0.0099a2−0.1227a+4.6878), 100−a−x−y),


point Br (0.0, (0.0839a2−3.1.38a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GG′r and G′rBr (excluding point G and point Br);


if 11.1<a≤16.4, and w<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x),


point Ar ((0.1221a2−4.6027a−34.247)r2+(−0.0564a2+2.0217a−23.397)r+(0.0076a2−1.7a+76.031), 0.0, 100−a−x),


point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a41.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br);


if 16.4<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x),


point Ar ((0.1221a2−4.6027a−34.247)r2+(−0.0564a42.0217a−23.397)r+(0.0076a2−1.7a4−76.031), 0.0, 100−a−x),


point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a41.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br);


if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (0.00738a2−1.0762a+65.22, 100−a−x, 0.0),


point I (0.00738a2−1.0762a+65.22, 0.0, 100−a−x),


point Ar ((−0.009465a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.005842a2−1.5915a+74.4), 0.100−a−x),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br); and


if 43.8<a47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (−0.45a+51.91, 100−a−x, 0.0),


point I (−0.45a+51.91, 0.0, 100−a−x),


point Ar ((−1.6r2+(0.05a−12.39)r+(−1.075a+62.985), 0.100−a−x),


point Br (0.0, (3.8a−167.84)r2+(−3.8a+155.94)r+(−1.025a+60.895), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br).


Item 6.


The composition according to item 4,


wherein


when the mass % of HFO-1132(E), HFO-1123, R1234yf, R1234ze, and R32 based on their sum in the refrigerant is respectively x, y, z1, z2, and a, the sum of z1 and z2 is z, z1/z is r, and v=−0.0581a+2.5484,


if 0<a≤11.1, coordinates (x, y, z) in a ternary composition diagram whose vertices are a point of (100−a) mass % of HFO-1132(E), a point of (100−a) mass % of HFO-1123, and a point of (100−a) mass % of the sum of R1234yf and R1234ze are within the range of a figure surrounded by straight lines JKr, KrBr, BrDr, DrC, and CJ that connect the following 5 points:


point J (−0.0072a2−0.8296a+47.1, 100−a−x, 0.0),


point Kr ((−0.0241a2+0.4296a−2.8)r2+(0.033a2−0.6279a+2.0)r+(0.0421a2−2.2419a+62.5), (0.0142a2−0.3016a+1.4)r2+(−0.0167a2+0.2395a−7.9)r+(−0.0289a2+0.4739a+12.4), 100−a−x−y),


point Br (0.0, r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),


point Dr (0.0, (−0.0603a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471x+86.3), 100−a−y),


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines JKr, KrBr, BrDr, and DrC (excluding point J, point Br, point Dr, and point C);


if 11.1<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points:


point J (0.0285a2−1.5371a+50.557, 100−a−x, 0.0),


point Kr ((0.0556a2−2.057a+14.984)r2+(−0.0217a2+0.7843a−6.9374)r+(0.0184a2−1.7325a+59.763), (0.0567a2−2.162a+16.817)r2+(−0.0298a2+1.0456a−15.236)r+(−0.0094a2+0.0329a+14.897), 100−a−x−y),


point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a41.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr and KrBr (excluding point J and point Br);


if 26.6<a≤35.3, and 0<r≤v, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points:


point J (−0.00542a2+0.3598a+24 .08, 100−a−x, 0.0),


point Kr ((−0.2299a+5.7149)r2+(0.1379a−5.069)r+(−0.7011x+45.351), (0.069a−2.4345)r2+(−0.1264a−5.1368)r+(−0.4943a+22.247), 100−a−x−y),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr and KrBr (excluding point J and point Br);


if 26.6<≤a35.3, and v<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points:


point J (−0.00542a2+0.3598a+24.08, 0.0, 100−a−x),


point Kr ((−0.3218a+8.1609)r2+(1.4023a−38.701)r+(−1.3103a+61.555), 0.0, 100−a−x),


point Ar ((−0.00946a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.00584a2−1.5915a+74.4), 0.0, 100−a−x),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br);


if 35.3<a≤43.8, and 0<r≤v, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points:


point J (−0.00542a2+0.3598a+24.08, 100−a−x, 0.0),


point Kr ((0.2824a−12.367)r2+(0.0235a−1.0306)r+(−0.5529a+40.119), (1.1294a−49.468)r+(−0.5647a+24.734), 100−a−x−y),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr and KrBr (excluding point J and point Br);


if 35.3<a≤43.8, and v<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points:


point J (−0.00542a2+0.3598a+24.08, 100−a−x, 0.0),


point Kr ((0.2588a−12.336)r2+(−0.5294a+29.488)r+(0.0706a+12.808), 0.0, 100−a−x)),


point Ar ((−0.00946a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.00584a2−1.5915a+74.4), 0.0, 100−a−x),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br); and


if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points:


point J (−0.1a+33.78, 100−a−x, 0.0),


point Kr (−r2+(−0.2a+15.06)r+15.9, 0.0, 100−a−x),


point Ar (−1.6r2+(0.05a−12.39)r+(−1.075a+62.985), 0.0, 100−a−x),


point Br (0.0, (3.8a−167.84)r2+(−3.8a+155.94)r+(−1.025a+60.895), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br).


Item 7.


The composition according to any one of Items 1 to 6, for use as a working fluid for a refrigerating machine, wherein the composition further comprises a refrigeration oil.


Item 8.


The composition according to any one of Items 1 to 7, for use as an alternative refrigerant for R410A.


Item 9.


Use of the composition according to any one of Items 1 to 7 as an alternative refrigerant for R410A.


Item 10.


A refrigerating machine comprising the composition according to any one of Items 1 to 7 as a working fluid.


Item 11.


A method for operating a refrigerating machine, comprising the step of circulating the composition according to any one of Items 1 to 7 as a working fluid in a refrigerating machine.


EXAMPLES

The present disclosure is described in more detail below with reference to Examples. However, the present disclosure is not limited to the Examples.


Mixed refrigerants were prepared by mixing HFO-1132(E), HFO-1123, R1234ze, and R32 at a mass % based on their sum as shown in Tables 1 to 11.


The GWP of compositions each comprising a mixture of R410A (R32=50%/R125=50%) was evaluated based on the values stated in the intergovernmental Panel on Climate Change (IPCC), fourth report. The GWP of HFO-1132(E), which was not stated therein, was assumed to be 1 from HFO-1132a (GWP=1 or less) and HFO-1123 (GWP=0.3, described in PTL 1). The refrigerating capacity of compositions each comprising R410A and a mixture of HFO-1132(E) and HFO-1123 was determined by performing theoretical refrigeration cycle calculations for the mixed refrigerants using the National Institute of Science and Technology (NIST) and Reference Fluid Thermodynamic and Transport Properties Database (Refprop 9.0) under the following conditions.


The COP ratio and the refrigerating capacity ratio of the mixed refrigerants relative to those of R410 were determined. The calculation conditions were as follows.


Evaporating temperature: 5° C.


Condensation temperature: 45° C.


Degree of superheating: 5 K


Degree of subcooling: 5 K


Compressor efficiency: 70%


Tables 1 to 11 show these values together with the GWP of each mixed refrigerant. The COP and refrigerating capacity are ratios relative to R410A.


The coefficient of performance (COP) was determined according to the following formula.





COP=(refrigerating capacity or heating capacity)/power consumption


















TABLE 1








Com Ex2
Com Ex3
Com Ex4
Com Ex5
Com Ex6
Com Ex7
Example1


Item
Unit
Com Ex1
O
A
B
C
D
G
G′
























HFO-1132(E)
mass %
R410A
100.0
76.2
0.0
32.9
0.0
72.0
72.0


HFO-1123
mass %

0.0
0.0
68.8
67.1
86.3
28.0
3.8


R1234ze
mass %

0.0
23.8
31.2
0.0
13.7
0.0
24.2


R32
mass %

0.0
0.0
0.0
0.0
0.0
0.0
0.0


GWP

2088
1
2
3
1
2
1
2


COP ratio
% (relative to R410A)
100
99.7
100.8
95.6
92.5
92.5
96.6
100.5


Refrigerating capacity ratio
% (relative to R410A)
100
98.3
85.0
85.0
107.4
98.0
103.1
85.4


Condensation glide
° C.
0.1
0.0
3.2
6.9
0.2
2.7
0.5
3.6





















TABLE 2







Com Ex8
Com Ex9
Example2
Example3


Item
Unit
A′
B′
C′
D′




















HFO-1132(E)
mass %
61.7
20.0
28.3
12.0


HFO-1123
mass %
11.6
48.5
69.0
77.9


R1234ze
mass %
26.7
31.5
2.7
10.1


R32
mass %
0.0
0.0
0.0
0.0


GWP

2
4
3
2


COP ratio
% (relative
99.8
97.0
92.5
92.5



to R410A)






Refrigerating
% (relative
85.0
85.0
105.7
100.9


capacity ratio
to R410A)






Condensation
° C.
4.5
6.8
0.6
2.0


glide

























TABLE 3







Com Ex10
Com Ex11
Example4
Example5
Example6
Example7
Com Ex12
Com Ex13


Item
Unit
I
J
Q
N
M
K
A
B
























HFO-1132(E)
mass %
72.0
47.1
62.1
65.9
64.5
62.5
67.3
0.0


HFO-1123
mass %
0.0
52.9
34.5
21.6
15.5
12.4
0.0
61.2


R1234ze
mass %
28.0
0.0
3.4
12.5
20.0
25.1
27.4
33.5


R32
mass %
0.0
0.0
0.0
0.0
0.0
0.0
5.3
5.3


GWP

2
1
1
2
2
2
38
38


COP ratio
% (relative to R410A)
101.1
93.8
96.0
97.8
99.0
99.6
100.8
96.9


Refrigerating capacity ratio
% (relative to R410A)
82.6
106.2
102.0
94.8
89.5
86.1
85.0
85.0


Condensation glide
° C.
3.9
0.3
1.0
2.4
3.5
4.2
4.2
7.6

























TABLE 4







Com Ex14
Com Ex15
Com Ex16
Example8
Com Ex17
Com Ex18
Example9
Example10


Item
Unit
C
D
G
G′
I
J
Q
N
























HFO-1132(E)
mass %
23.0
0.0
63.3
63.3
63.3
42.5
55.5
58 1


HFO-1123
mass %
71.7
87.3
31.4
3.6
0.0
52.2
41.0
26.1


R1234ze
mass %
0.0
7.4
0.0
33.1
31.4
0.0
3.5
10.5


R32
mass %
5.3
5.3
5.3
5.3
5.3
5.3
5.3
5.3


GWP

37
37
37
38
38
37
37
37


COP ratio
% (relative to R410A)
92.5
92.5
96.0
100.9
101.2
94.0
95.4
97.1


Refrigerating capacity ratio
% (relative to R410A)
109.8
104.7
105.7
83.0
82.6
108.3
104.6
98.7


Condensation glide
° C.
0.1
1.4
0.4
5.1
4.9
0.3
0.9
2.2

























TABLE 5







Example11
Example12
Com Ex19
Com Ex20
Com Ex21
Com Ex22
Example13
Com Ex23


Item
Unit
M
K
A
B
C = D
G
G′
I
























HFO-1132(E)
mass %
56.1
51.8
58.1
0.0
0.0
55.8
55.8
55.8


HFO-1123
mass %
18.6
14.1
0.0
53.4
89.9
33.1
2.1
0.0


R1234ze
mass %
20.0
28.8
30.8
35.5
0.0
0.0
31.0
33.1


R32
mass %
5.3
5.3
11.1
11.1
11.1
11.1
11.1
11.1


GWP

38
38
77
78
76
76
77
77


COP ratio
% (relative to R410A)
98.5
99.7
101.0
98.2
92.5
95.8
100.8
101.2


Refrigerating capacity ratio
% (relative to R410A)
91.9
86.0
85.0
85.0
112.0
108.0
85.1
83.6


Condensation glide
° C.
3.8
5.3
5.1
8.0
0.0
0.4
5.3
5.5

























TABLE 6







Com Ex24
Example14
Example15
Example16
Example17
Com Ex25
Com Ex26
Com Ex27


Item
Unit
J
Q
N
M
K
A
B
G
























HFO-1132(E)
mass %
37.0
49.0
50.9
48.7
42.8
50.2
0.0
50.2


HFO-1123
mass %
51.9
36.4
27.5
20.2
14.1
0.0
46.7
33.4


R1234ze
mass %
0.0
3.5
10.5
20.0
32.0
33.4
36.9
0.0


R32
mass %
11.1
11.1
11.1
11.1
11.1
16.4
16.4
16.4


GWP

76
76
76
77
77
113
113
112


COP ratio
% (relative to R410A)
94.3
95.7
96.9
98.3
100.0
101.2
99.1
95.9


Refrigerating capacity ratio
% (relative to R410A)
110.2
106.3
100.8
94.0
85.8
85.0
85.0
109.7


Condensation glide
° C.
0.2
0.9
2.2
3.9
6.1
5.8
8.2
0.3

























TABLE 7







Com Ex28
Example18
Example19
Example20
Example21
Com Ex29
Com Ex30
Com Ex31


Item
Unit
J
Q
N
M
K
A
B
G
























HFO-1132(E)
mass %
33.0
44.1
45.6
43.4
36.3
36.2
0.0
41.8


HFO-1123
mass %
50.6
36.0
29.5
20.0
12.9
0.0
34.7
31.6


R1234ze
mass %
0.0
3.5
8.5
20.0
34.4
37.2
38.7
0.0


R32
mass %
16.4
16.4
16.4
16.4
16.4
26.6
26.6
26.6


GWP

112
112
112
113
113
182
182
180


COP ratio
% (relative to R410A)
94.7
95.9
96.7
98.4
100.4
101.8
100.7
96.4


Refrigerating capacity ratio
% (relative to R410A)
111.6
107.8
103.9
95.5
85.6
85.0
85.0
112.0


Condensation glide
° C.
0.1
0.9
1.8
3.9
6.6
6.6
8.0
0.2

























TABLE 8







Com Ex32
Com Ex33
Example22
Example23
Example24
Example25
Com Ex34
Com Ex35


Item
Unit
I
J
Q
N
M
K
A
B
























HFO-1132(E)
mass %
41.8
29.8
37.3
38.3
35.5
26.7
25.5
0.0


HFO-1123
mass %
0.0
43.6
32.6
27.1
17.9
9.1
0.0
25.0


R1234ze
mass %
31.6
0.0
3.5
8.0
20.0
37.6
39.2
39.7


R32
mass %
26.6
26.6
26.6
26.6
26.6
26.6
35.3
35.3


GWP

182
180
180
181
181
182
241
241


COP ratio
% (relative to R410A)
101.1
95.8
96.6
97.2
98.8
101.4
102.4
101.8


Refrigerating capacity ratio
% (relative to R410A)
88.5
113.3
109.8
106.3
97.5
85.3
85.0
85.0


Condensation glide
° C.
5.5
0.1
0.8
1.6
3.8
7.06
6.8
7.6

























TABLE 9







Com Ex36
Com Ex37
Com Ex38
Example26
Example27
Example28
Example29
Com Ex39


Item
Unit
G
I
J
Q
N
M
K
A
























HFO-1132(E)
mass %
36.4
36.4
30.0
33.6
33.9
30.1
20.6
15.9


HFO-1123
mass %
28.3
0.0
34.7
27.6
24.8
14.6
4.8
0.0


R1234ze
mass %
0.0
28.3
0.0
3.5
6.0
20.0
39.3
40.3


R32
mass %
35.3
35.3
35.3
35.3
35.3
35.3
35.3
43.8


GWP

239
240
239
239
239
240
241
298


COP ratio
% (relative
97.1
101.0
96.8
97.4
97.7
99.5
102.2
103.0



to R410A)










Refrigerating
% (relative
113.1
92.1
113.8
110.8
108.9
98.7
85.1
85.0


capacity ratio
to R410A)










Condensation glide
° C.
0.1
4.8
0.2
0.7
1.1
3.63
7.0
6.6

























TABLE 10







Com Ex40
Com Ex41
Com Ex42
Com Ex43
Example30
Example31
Example32
Com Ex44


Item
Unit
B
G
I
J
Q = N
M
K
A
























HFO-1132(E)
mass %
0.0
32.2
32.2
29.4
30.7
25.1
15.9
11.6


HFO-1123
mass %
16.0
24.0
0.0
26.8
22.0
11.1
0.0
0.0


R1234ze
mass %
40.2
0.0
24.0
0.0
3.5
20.0
40.3
40.6


R32
mass %
43.8
43.8
43.8
43.8
43.8
43.8
43.8
47.8


GWP

298
296
297
296
296
297
298
325


COP ratio
% (relative to R410A)
102.7
97.8
100.9
97.8
98.2
100.2
103.0
103.3


Refrigerating capacity ratio
% (relative to R410A)
85.0
113.7
96.0
113.9
111.2
99.4
85.0
85.0


Condensation glide
° C.
6.9
0.2
3.9
0.2
0.7
3.4
6.6
6.4























TABLE 11







Com Ex45
Com Ex46
Com Ex47
Com Ex48
Example33
Example34


Item
Unit
B
G
I
J = Q = N
M
K






















HFO-1132(E)
mass %
0.0
30.4
30.4
29.0
23.0
15.9


HFO-1123
mass %
11.9
21.8
0.0
23.2
9.2
0.0


R1234ze
mass %
40.3
0.0
21.8
0.0
20.0
36.3


R32
mass %
47.8
47.8
47.8
47.8
47.8
47.8


GWP

325
323
324
323
324
325


COP ratio
% (relative to R410A)
103.0
98.2
100.9
98.2
100.5
102.7


Refrigerating capacity ratio
% (relative to R410A)
85.0
113.8
97.8
113.9
99.5
88.0


Condensation glide
° C.
6.6
0.2
3.5
0.2
3.3
5.8









The composition of each mixture was defined as WCF. A leak simulation was performed using NIST Standard Reference Data Base Refleak Version 4.0 under the conditions of Equipment, Storage, Shipping, Leak, and Recharge according to the ASHRAE Standard 34-2013. The most flammable fraction was defined as WCFF.


For the flammability, the burning velocity was measured according to the ANSI/ASHRAE Standard 34-2013. Both WCF and WCFF having a burning velocity of 10 cm/s or less were determined to be “Class 2L (lower flammability).”


A burning velocity test was performed using the apparatus shown in FIG. 1 in the following manner. First, the mixed refrigerants used had a purity of 99.5% or more, and were degassed by repeating a cycle of freezing, pumping, and thawing until no traces of air were observed on the vacuum gauge. The burning velocity was measured by the closed method. The initial temperature was ambient temperature. Ignition was performed by generating an electric spark between the electrodes in the center of a sample cell. The duration of the discharge was 1.0 to 9.9 ms, and the ignition energy was typically about 0.1 to 1.0 J. The spread of the flame was visualized using schlieren photographs. A cylindrical container (inner diameter: 155 mm, length: 198 mm) equipped with two light transmission acrylic windows was used as the sample cell, and a xenon lamp was used as the light source. The propagation state of the flame was recorded using a schlieren system with a Collimating lens and a high-speed digital video camera (frame rate: 600 fps), and stored on a PC as video data.


The flame propagation velocity Sb (cm/sec) was measured using the video image. The burning velocity (Su) is the volume of unburned gas in which the flame surface of the unit area is consumed in the unit time, and was calculated according to the following equation.






Su=Sb*ρu/ρb


ρu: Adiabatic flame temperature (unburned)


ρb: Adiabatic flame temperature (already burned)


ρu was the measured temperature, and ρb was calculated from the heat of the combustion of the combustion gas and the specific heat of constant pressure.


Tables 12 to 19 show the results.


















TABLE 12





Item
Unit
G
G′
I
G
G′
I
G
G′

























WCF
HFO-1132(E)
mass %
72.0
72.0
72.0
63.3
63.3
63.3
55.8
55.8



HFO-1123
mass %
28.0
3.8
0.0
31.4
3.6
0.0
21
2.1



R1234ze
mass %
0.0
24.2
28.0
0.0
33.1
31.4
31.0
31.0



R32
mass %
0.0
0.0
0.0
5.3
5.3
5.3
11.1
11.1
















Burning velocity (WCF)
cm/s
10
10
10
10
10
10
10
10

























TABLE 13





Item
Unit
I
G
G′ = I
G
I
G
I
G

























WCF
HFO-1132(E)
mass %
55.8
50.2
50.2
41.8
41.8
36.4
36.4
32.2



HFO-1123
mass %
0.0
33.4
0.0
31.6
0.0
28.3
0.0
24.0



R1234ze
mass %
33.1
0.0
33.4
0.0
31.6
0.0
28.3
0.0



R32
mass %
11.1
16.4
16.4
26.6
26.6
35.3
35.3
43.8
















Burning velocity (WCF)
cm/s
10
10
10
10
10
10
10
10




















TABLE 14





Item
Unit
I
G
I




















WCF
HFO-1132(E)
mass %
32.2
30.4
30.4



HFO-1123
mass %
0.0
21.8
0.0



R1234ze
mass %
24.0
0.0
21.8



R32
mass %
43.8
47.8
47.8











Burning velocity (WCF)
cm/s
10
10
10

























TABLE 15





Item
Unit
J
Q′
Q
N′
N
M
K
A′

























WCF
HFO-1132(E)
mass %
47.1
56.5
62.1
65.4
65.9
64.5
62.5
61.7



HFO-1123
mass %
52.9
42.4
34.5
25.5
21.6
15.5
12.4
11.6



R1234ze
mass %
0.0
1.1
3.4
9.1
12.5
20.0
25.1
26.7



R32
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0
5.3















Leak conditions for achieving WCFF
Storage
Storage
Storage
Storage
Storage
Storage
Storage
Storage




















and
and
and
and
and
and
and
and





transport
transport
transport
transport
transport
transport
transport
transport





at
at
at
at
at
at
at
at





−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.





and 92%
and 88%
and 90%
and 80%
and 74%
and 74%
and 40%
and 38%





release,
release,
release,
release,
release,
release,
release,
release,





liquid
liquid
gas phase
gas phase
gas phase
gas phase
gas phase
gas phase





phase side
phase side
side
side
side
side
side
side


WCFF
HFO-1132(E)
mass %
72.0
72.0
72.0
72.0
72.0
72.0
72.0
72.0



HFO-1123
mass %
28.0
19.7
20.4
17.1
16.0
16.0
15.4
15.2



R1234ze
mass %
0.0
8.3
7.6
10.9
12.0
12.1
12.6
12.8



R32
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
















Burning velocity (WCF)
cm/s
8 or less
8 or less
8 or less
8 or less
8.1
8 or less
8 or less
8 or less


Burning velocity (WCFF)
cm/s
10
10
10
10
10
10
10
10

























TABLE 16





Item
Unit
J
Q
N
M
K
J
Q
N

























WCF
HFO-1132(E)
mass %
42.5
55.5
58.1
56.1
51.8
37.0
49.0
50.9



HFO-1123
mass %
52.2
35.7
26.1
18.6
14.1
51.9
36.4
27.5



R1234ze
mass %
0.0
3.5
10.5
20.0
28.8
0.0
3.5
10.5



R32
mass %
5.3
5.3
5.3
5.3
5.3
11.1
11.1
11.1















Leak conditions for achieving WCFF
Storage
Storage
Storage
Storage
Storage
Storage
Storage
Storage




















and
and
and
and
and
and
and
and





transport
transport
transport
transport
transport
transport
transport
transport





at
at
at
at
at
at
at
at





−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.





and 95%
and 88%
and 76%
and 62%
and 30%
and 95%
and 88%
and 52%





release,
release,
release,
release,
release,
release,
release,
release,





liquid
gas phase
gas phase
gas phase
gas phase
liquid
gas phase
gas phase





phase side
side
side
side
side
phase side
side
side


WCFF
HFO-1132(E)
mass %
65.0
64.8
64.3
62.5
60.9
56.2
57.0
53.0



HFO-1123
mass %
30.8
23.8
21.4
20.2
19.7
33.0
25.8
29.6



R1234ze
mass %
0.0
7.1
10.6
11.4
12.4
0.0
7.1
5.4



R32
mass %
4.2
4.3
4.7
5.9
7.0
10.8
10.1
12.0
















Burning velocity (WCF)
cm/s
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less
8.1


Burning velocity (WCFF)
cm/s
10
10
10
10
10
10
10
10

























TABLE 17





Item
Unit
M
K
J
Q
N
M
K
J

























WCF
HFO-1132(E)
mass %
48.7
42.8
33.0
44.1
45.6
43.4
36.3
29.8



HFO-1123
mass %
20.2
14.1
50.6
36.0
29.5
20.0
12.9
43.6



R1234ze
mass %
20.0
32.0
0.0
3.5
8.5
20.0
34.4
0.0



R32
mass %
11.1
11.1
16.4
16.4
16.4
16.4
16.4
26.6















Leak conditions for achieving WCFF
Storage
Storage
Storage
Storage
Storage
Storage
Storage
Storage




















and
and
and
and
and
and
and
and





transport
transport
transport
transport
transport
transport
transport
transport





at
at
at
at
at
at
at
at





−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.





and 52%
and 18%
and 95%
and 78%
and 78%
and 52%
and 8%
and 95%





release,
release,
release,
release,
release,
release,
release,
release,





gas phase
gas phase
liquid
gas phase
gas phase
gas phase
gas phase
liquid





side
side
phase side
side
side
side
side
phase side


WCFF
HFO-1132(E)
mass %
54.2
51.5
47.6
48.1
50.0
48.3
45.1
34.5



HFO-1123
mass %
22.2
21.7
33.2
31.4
24.4
22.2
21.2
26.5



R1234ze
mass %
12.5
11.8
0.0
3.6
9.0
11.0
11.5
0.0



R32
mass %
11.1
15.0
19.2
16.9
16.6
18.5
22.2
39.0
















Burning velocity (WCF)
cm/s
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less


Burning velocity (WCFF)
cm/s
10
10
10
10
10
10
10
10


























TABLE 18






Item
Unit
Q
N
M
K
J
Q
N
M

























WCF
HFO-1132(E)
mass %
37.3
38.3
35.5
26.7
30.0
33.6
33.9
30.1



HFO-1123
mass %
32.6
27.1
17.9
9.1
34.7
27.6
24.8
14.6



R1234ze
mass %
3.5
8.0
20.0
37.6
0.0
3.5
6.0
20.0



R32
mass %
26.6
26.6
26.6
26.6
35.3
35.3
35.3
35.3















Leak conditions for achieving WCFF
Storage
Storage
Storage
Storage
Storage
Storage
Storage
Storage




















and
and
and
and
and
and
and
and





transport
transport
transport
transport
transport
transport
transport
transport





at
at
at
at
at
at
at
at





−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.





and 86%
and 78%
and 48%
and 0%
and 92%
and 76%
and 22%
and 16%





release,
release,
release,
release,
release,
release,
release,
release,





gas phase
gas phase
gas phase
gas phase
liquid
gas phase
gas phase
gas phase





side
side
side
side
phase side
side
side
side


WCFF
HFO-1132(E)
mass %
40.2
40.7
39.6
36.5
28.6
34.6
34.6
34.9



HFO-1123
mass %
25.0
22.6
20.3
16.2
19.0
24.1
29.6
20.1



R1234ze
mass %
5.7
8.3
10.2
12.1
0.0
3.3
2.0
6.8



R32
mass %
29.1
28.4
29.9
35.6
52.4
38.0
33.8
38.2
















Burning velocity (WCF)
cm/s
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less


Burning velocity (WCFF)
cm/s
10
10
10
10
10
10
10
10


























TABLE 19





Item

Unit
K
J
Q = N
M
K
J = Q = N
M
K

























WCF
HFO-1132(E)
mass %
20.6
29.4
30.7
25.1
15.9
29.0
23.0
15.9



HFO-1123
mass %
4.8
26.8
22.0
11.1
0.0
23.2
9.2
0.0



R1234ze
mass %
39.3
0.0
3.5
20.0
40.3
0.0
20.0
36.3



R32
mass %
35.3
43.8
43.8
43.8
43.8
47.8
47.8
47.8















Leak conditions for achieving WCFF
Storage
Storage
Storage
Storage
Storage
Storage
Storage
Storage




















and
and
and
and
and
and
and
and





transport
transport
transport
transport
transport
transport
transport
transport





at
at
at
at
at
at
at
at





−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.





and 0%
and 78%
and 74%
and 0%
and 0%
and 84%
and 0%
and 0%





release,
release,
release,
release,
release,
release,
release,
release,





gas phase
liquid
gas phase
gas phase
gas phase
liquid
gas phase
gas phase





side
phase side
side
side
side
phase side
side
side


WCFF
HFO-1132(E)
mass %
30.8
27.4
30.9
31.1
26.1
23.8
29.5
25.5



HFO-1123
mass %
9.0
17.0
19.2
'16.6
14.8
13.1
14.0
13.2



R1234ze
mass %
13.4
0.0
3.1
6.2
0.0
0.0
6.3
61.3



R32
mass %
46.8
55.6
46.8
46.1
59.1
63.1
50.2
59.1
















Burning velocity (WCF)
cm/s
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less


Burning velocity (WCFF)
cm/s
10
10
10
10
10
10
10
10









These results indicate that a mixed refrigerant has a refrigerating capacity ratio of 85% or more relative to that of R410A, and a COP ratio of 92.5% or more relative to that of R410A, and further ensures a WCF lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), HFO-1123, R1234ze, and R32 based on their sum in the mixed refrigerant is respectively represented by x, y, z, and a,


if 0<a≤11.1, coordinates (x, y, z) in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is (100−a) mass % are within the range of a figure surrounded by straight lines GG′, G′B, BD, DC, and CG that connect the following 5 points:


point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),


point G′ (0.0314a2−1.8079a+72.0, −0.0199a2+0.0677a+3.8, 100−a−x−y)


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y),


point D (0.0, 0.0234a2+0.0647a+86.3, 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines GG′, G′B, and DC (excluding point B, point D, point C, and point G);


if 11.1<a≤16.4, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GG′, G′B, BO, and OG that connect the following 4 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point G′ (−1.0566a+67.528, −0.3962a+6.4981, 100−a−x−y),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GG′ and G′B (excluding point B, point O, and point G);


if 16.4<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x),


point A (0.0076a2−1.7a+76.031, 0.0, 100−a−x),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI and AB (excluding point G, point I, point A, and point B);


if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:


point G (0.00738a2−1.0762a+65.22, 100−a−x, 0.0),


point I (0.00738a2−1.0762a+65.22, 0.0, 100−a−x),


point A (0.00582a2−1.5915a+74.4, 0.0, 100−a−x),


point B (0.0, 0.00328a2−1.3169a+67.421, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI and AB (excluding point G, point I, point A, and point B); and


if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:


point G (−0.45a+51.91, 100−a−x, 0.0),


point I (−0.45a+51.91, 0.0, 100−a−x),


point A (−1.075a+62.985, 0.0, 100−a−x),


point B (0.0, −1.025a+60.895, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI and AB (excluding point G, point I, point A, and point B).


The results also indicate that a mixed refrigerant has a refrigerating capacity ratio of 85% or more relative to that of R410A, and a COP ratio of 92.5% or more relative to that of R410A, and further ensures an ASHRAE lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), HFO-1123, R1234ze, and R32 based on their sum in the mixed refrigerant is respectively represented by x, y, z, and a,


if 0<a≤11.1, coordinates (x, y, z) in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is (100−a) mass % are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BD, DC, and CJ that connect the following 8 points:


point J (100−a−y, 0.0072a2−0.1704a+52.9, 0.0),


point Q (0.0112a2−1.3048a+62.1, 96.5−a−x, 3.5),


point N (0.0207a2−1.5817a+65.9, −0.0547a2+1.1392a+21.6, 100−a−x−y),


point M (0.0278a2−1.7325a+64.5, 80.0−a−x, 20.0),


point K (0.0421a2−2.2419a+62.5, 100−a−x−z, −0.0132a2+0.768a+25.1),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y),


point D (0.0, 0.0234a2+0.0647a+86.3, 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B);


if 11.1<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BO, and OJ that connect the following 7 points:


point J (100−a−y, −0.0285a2+0.5371a+49.443, 0.0),


point Q (0.0166a2−1.382a+62.291, 96.5−a−x, 3.5),


point N (0.0183a2−1.5044a+65.339, −0.0395a2+1.4643a+16.116, 100−a−x−y),


point M (0.0145a2−1.4001a+62.448, 80.0−a−x, 20.0),


point K (0.0184a2−1.7325a+59.763, 100−a−x−z, −0.009a2+0.6996a+25.34),


point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B);


if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BO, and OJ that connect the following 7 points:


point J (100−a−y, 0.00542a2−1.3598a+75.92, 0.0),


point Q (0.0049a2−0.728a+53.204, 96.5−a−x, 3.5),


point N (0.0075a2−0.971a+58.81, −0.0038a2−0.0303a+30.581, 100−a−x−y),


point M (0.0019a2−0.7375a+53.782, 80.0−a−x, 20.0),


point K (0.0086a2−1.2345a+53.442, 100−a−x−z, −0.0045a2+0.4752a+28.157),


point B (0.0, 0.00328a2−1.3169a+67.421, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B); and


if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JN, NM, MK, KA, AB, BO, and OJ that connect the following 7 points:


point J (100−a−y, −0.9a+66.22, 0.0),


point N (−0.425a+49.315, −0.3a+8.86, 100−a−x−y),


point M (−0.525a+48.095, 80.0−a−x, 20.0),


point K (15.9, 0.0, 84.1−a),


point A (−1.075a+62.985, 0.0, 100−a−x),


point B (0.0, −1.025a+60.895, 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines NM, MK, KA, and AB (excluding point J and point B).


The approximate expressions representing the coordinates of each point were obtained as shown below.
















TABLE 20







HFO-1132E
mass %
76.2
67.3
58.1
58.1
50.2
36.2


HFO-1123
mass %
0.0
0.0
0.0
0.0
0.0
0.0


R1234ze
mass %
23.8
27.4
30.8
30.8
33.4
37.2


R32
mass %
0.0
5.3
11.1
11.1
16.4
26.6









a = R32
a
a


x = HFO-1132E approximate expression
0.0084a2 − 1.7237a + 76.2
0.0076a2 − 1.7a + 76.031


y = HFO-1123 approximate expression
0.0
0.0


z = R1234ze approximate expression
100 − a − x
100 − a − x

















HFO-1132E
mass %
36.2
25.5
15.9
15.9
11.6



HFO-1123
mass %
0.0
0.0
0.0
0.0
0,0



R1234ze
mass %
37.2
39.2
40.3
40.3
40.6



R32
mass %
26.6
35.3
43.8
43.8
47.8











a = R32
a
a



x = HFO-1132E approximate expression
0.00582a2 − 1.5915a + 74.4
−1.075a + 62.985



y = HFO-1123 approximate expression
0.0
0.0



z = R1234ze approximate expression
100 − a − x
100 − a − x























TABLE 21







HFO-1132E
mass%
0.0
0.0
0.0
0.0
0.0
0.0


HFO-1123
mass%
68.8
61.2
53.4
53.4
46.7
34.7


R1234ze
mass%
31.2
33.5
35.5
35.5
36.9
38.7


R32
mass%
0.0
5.3
11.1
11.1
16.4
26.6









a = R32
a
a


x = HFO-1132E approximate expression
0.0
0.0


y = HFO-1123 approximate expression
0.008a2 − 1.4765a + 3068.8
0.0057a2− 1.4197a + 68.462


z = R1234ze approximate expression
100-a-y
100-a-y













HFO-1132E
mass%
0.0
0.0
0.0
0.0
0.0


HFO-1123
mass%
34.7
25.0
16.0
16.0
11.9


R1234ze
mass%
38.7
39.7
40.2
40.2
40.3


R32
mass%
26.6
35.3
43.8
43.8
47.8









a = R32
a
a


x = HFO-1132E approximate expression
0.0
0.0


y = HFO-1123 approximate expression
0.00328a2 − 1.3169a + 67.421
−1.025a + 60.895


z = R1234ze approximate expression
100-a-y
100-a-y




















TABLE 22







HFO-1132E
mass%
32.9
23.0
0.0


HFO-1123
mass%
67.1
71.7
89.9


R1234ze
mass%
0.0
0.0
0.0


R32
mass%
0.0
5.3
11.1








a = R32
a


x = HFO-1132E approximate expression
−0.189a2 − 0.8664a + 32.9


y = HFO-1123 approximate expression
100 − a − x


z = R1234ze approximate expression
0.0




















TABLE 23







HFO-1132E
mass%
0.0
0.0
0.0


HFO-1123
mass%
86.3
87.3
89.9


R1234ze
mass%
13.7
7.4
0.0


R32
mass%
0.0
5.3
11.1









a = R32

a








x = HFO-1132E approximate expression
0.0


y = HFO-1123 approximate expression
0.0234a2 + 0.0647a + 86.3


z = R1234ze approximate expression
100-a-y























TABLE 24







HFO-1132E
mass %
72.0
63.3
55.8
55.8
50.2
41.8


HFO-1123
mass %
28.0
31.4
33.1
33.1
33.4
31.6


R1234ze
mass %
0.0
0.0
0.0
0.0
0.0
0.0


R32
mass %
0.0
5.3
11.1
11.1
16.4
26.6









a = R32
a
a


x = HFO-1132E approximate expression
0.0314a2 − 1.8079a + 72.0
0.015a2 − 1.4701a + 70.266


y = HFO-1123 approximate expression
100 − a − x
100 − a − x


z = R1234ze approximate expression
0.0
0.0

















HFO-1132E
mass %
41.8
36.4
32.2
32.2
30.4



HFO-1123
mass %
31.6
28.3
24.0
24.0
21.8



R1234ze
mass %
0.0
0.0
0.0
0.0
0.0



R32
mass %
26.6
35.3
43.8
43.8
47.8











a = R32
a
a



x = HFO-1132E approximate expression
0.00738a2 − 1.0762a + 65.22
−0.45a + 51.91



y = HFO-1123 approximate expression
100 − a − x
100 − a − x



z = R1234ze approximate expression
0.0
0.0






















TABLE 25







HFO-1132E
mass %
72.0
63.3
55.8
55.8
50.2


HFO-1123
mass %
3.8
3.6
2.1
2.1
0.0


R1234ze
mass %
24.2
33.1
31.0
31.0
33.4


R32
mass %
0.0
5.3
11.1
11.1
16.4









a = R32
a
a


x = HFO-1132E approximate expression
0.0314a2 − 1.8079a + 72.0
−1.0566a + 67.528


y = HFO-1123 approximate expression
-0.0199a2 + 0.0677a + 3.8
−0.3962a + 6.4981


z = R1234ze approximate expression
100 − a − x − y
100 − a − x − y























TABLE 26







HFO-1132E
mass %
72.0
63.3
55.8
55.8
50.2
41.8


HFO-1123
mass %
0.0
0.0
0.0
0.0
0.0
0.0


R1234ze
mass %
28.0
31.4
33.1
33.1
33.4
31.6


R32
mass %
0.0
5.3
11.1
11.1
16.4
26.6









a = R32
a
a


x = HFO-1132E approximate expression
0.0314a2 − 1.8079a + 72.0
0.015a2 − 1.4701a + 70.266


y = HFO-1123 approximate expression
0.0
0.0


z = R1234ze approximate expression
100 − a − x
100 − a − x

















HFO-1132E
mass %
41.8
36.4
32.2
32.2
30.4



HFO-1123
mass %
0.0
0.0
0.0
0.0
0.0



R1234ze
mass %
31.6
28.3
24.0
24.0
21.8



R32
mass %
26.6
35.3
43.8
43.8
47.8












a = R32

a
a











x = HFO-1132E approximate expression
0.00738a2 − 1.0762a + 65.22
−0.45a + 51.91



y = HFO-1123 approximate expression
0.0
0.0



z = R1234ze approximate expression
100 − a − x
100 − a − x























TABLE 27







HFO-1132E
mass %
47.1
42.5
37.0
37.0
33.0
29.8


HFO-1123
mass %
52.9
52.2
51.9
51.9
50.6
43.6


R1234ze
mass %
0.0
0.0
0.0
0.0
0.0
0.0


R32
mass %
0.0
5.3
11.1
11.1
16.4
26.6









a = R32
a
a


x = HFO-1132E approximate expression
100 − a − y
100 − a − y


y = HFO-1123 approximate expression
0.0072a2 − 0.1704a + 52.9
−0.0285a2 + 0.5371a + 49.443


z = R1234ze approximate expression
0.0
0.0

















HFO-1132E
mass %
29.8
30.0
29.4
29.4
29.0



HFO-1123
mass %
43.6
34.7
26.8
26.8
23.2



R1234ze
mass %
0.0
0.0
0.0
0.0
0.0



R32
mass %
26.6
35.3
43.8
43.8
47.8











a = R32
a
a



x = HFO-1132E approximate expression
100 − a − y
100 − a − y



y = HFO-1123 approximate expression
0.00542a2 − 1.3598a + 75.92
−0.9a + 66.22



z = R1234ze approximate expression
0.0
0























TABLE 28







HFO-1132E
mass %
62.1
55.5
49.0
49.0
44.1
37.3


HFO-1123
mass %
34.5
41.0
36.4
36.4
36.0
32.6


R1234ze
mass %
3.4
3.5
3.5
3.5
3.5
3.5


R32
mass %
0.0
5.3
11.1
11.1
16.4
26.6









a = R32
a
a


x = HFO-1132E approximate expression
0.0112a2 − 1.3048a + 62.1
0.0166a2 − 1.382a + 62.291


y = HFO-1123 approximate expression
96.5 − a − x
96.5 − a − x


z = R1234ze approximate expression
3.5
3.5

















HFO-1132E
mass %
37.3
33.6
30.7





HFO-1123
mass %
32.6
27.6
22.0





R1234ze
mass %
3.5
3.5
3.5





R32
mass %
26.6
35.3
43.8














a = R32
a





x = HFO-1132E approximate expression
0.0049a2 − 0.728a + 53.204





y = HFO-1123 approximate expression
96.5 − a − x





z = R1234ze approximate expression
3.5























TABLE 29







HFO-1132E
mass %
65.9
58.1
50.9
50.9
45.6
38.3


HFO-1123
mass %
21.6
26.1
27.5
27.5
29.5
27.1


R1234ze
mass %
12.5
10.5
10.5
10.5
8.5
8.0


R32
mass %
0.0
5.3
11.1
11.1
16.4
26.6









a = R32
a
x


x = HFO-1132E approximate expression
0.0207a2 − 1 .58 17a + 65.9
0.0183a2 − 1.5044a + 65.339


y = HFO-1123 approximate expression
−0.0547a2 + 1.1392a + 21.6
−0.0395a2 + 1.4643a + 16.116


z = R1234ze approximate expression
100 − a − x − y
100 − a − x − y

















HFO-1132E
mass %
38.3
33.9
30.7
30.7
29.0



HFO-1123
mass %
27.1
24.8
22.0
22.0
23.2



R1234ze
mass %
8.0
6.0
3.5
3.5
0.0



R32
mass %
26.6
35.3
43.8
43.8
47.8











a = R32
a
a



x = HFO-1132E approximate expression
0.0075a2 − 0.971a + 58.81
−0.425a + 49.315



y = HFO-1123 approximate expression
−0.0038a2 − 0.0303a + 30.581
−0.3a + 8.86



z = R1234ze approximate expression
100 − a − x − y























TABLE 30







HFO-1132E
mass %
64.5
56.1
48.7
48.7
43.4
35.5


HFO-1123
mass %
15.5
18.6
20.2
20.2
20.0
17.9


R1234ze
mass %
20.0
20.0
20.0
20.0
20.0
20.0


R32
mass %
0.0
5.3
11.1
11.1
16.4
26.6









a = R32
a
x


x = HFO-1132E approximate expression
0.0278a2 − 1.7325a + 64.5
0.0145a2 − 1.4001a + 62.448


y = HFO-1123 approximate expression
80.0 − a − x
80.0 − a − x


z = R1234ze approximate expression
20.0
20.0

















HFO-1132E
mass %
35.5
30.1
25.1
25.1
23.0



HFO-1123
mass %
17.9
14.6
11.1
11.1
9.2



R1234ze
mass %
20.0
20.0
20.0
20.0
20.0



R32
mass %
26.6
35.3
43.8
43.8
47.8











a = R32
x
x



x = HFO-1132E approximate expression
0.0019a2 − 0.7375a + 53.782
−0.525a + 48.095



y = HFO-1123 approximate expression
80.0 − a − x
80.0 − a − x



z = R1234ze approximate expression
20.0
20.0























TABLE 31







HFO-1132E
mass %
62.5
51.8
42.8
42.8
36.3
26.7


HFO-1123
mass %
12.4
14.1
14.1
14.1
12.9
9.1


R1234ze
mass %
25.1
28.8
32.0
32.0
34.4
37.6


R32
mass %
0.0
5.3
11.1
11.1
16.4
26.6









a = R32
a
a


x = HFO-1132E approximate expression
0.0421a2 − 2.2419a + 62.5
0.0184a2 − 1.7325a + 59.763


y = HFO-1123 approximate expression
100 − a − x − z
100 − a − x − z


z = R1234ze approximate expression
−0.0132a2 + 0.768a + 25.1
−0.009a2 + 0.6996a + 25.34














HFO-1132E
mass %
26.7
20.6
15.9
15.9
15.9



HFO-1123
mass %
9.1
4.8
0.0
0.0
0.0



R1234ze
mass %
37.6
39.3
40.3
40.3
36.3



R32
mass %
26.6
35.3
43.8
43.8
47.8











a = R32
a
a



x = HFO-1132E approximate expression
0.0086a2 − 1.2345a + 53.442
15.9



y = HFO-1123 approximate expression
100 − a − x − z
0.0



z = R1234ze approximate expression
−0.0045a2 + 0.4752a + 28.157
84.1 − a










Next, mixed refrigerants were prepared by mixing HFO-1132(E), HFO-1123, R1234ze, R1234yf, and R32 at a mass % based on their sum as shown in Tables 32 to 40. In the following, the ratio of R1234yf to the sum of R1234ze and R1234yf is defined as r.


















TABLE 32







Com Ex 49
Com Ex 50
Com Ex 51
Example 35
Com Ex 52
Example 36
Com Ex 53
Com Ex 54


Item
Unit
Ar=0.5
Br=0.5
Dr=0.5
G′r=0.5
Ir=0.5
Kr=0.5

text missing or illegible when filed

Ar=1.0
























HFO-1132 (E)
mass %
72.8
0.0
0.0
72.0
72.0
62.8
72.0
68.6


HFO-1123
mass %
0.0
64.0
83.8
0.8
0.0
8.8
0.0
0.0


R1234 (ze + yf)
mass %
27.2
36.0
16.2
27.2
28.0
28.4
28.0
31.4


R32
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


GWP

2
2
2
2
2
2
2
2


COP ratio
% ( custom-character  R410A)
100.5
95.6
92.5
100.4
100.5
99.6
100.4
100.0


Refrigerating capacity ratio
% ( custom-character  R410A)
85.0
85.0
98.0
85.2
84.6
85.8
85.0
85.0


Condensation glide
° C.
2.7
6.1
2.3
2.7
2.7
3.4
2.5
2.0






text missing or illegible when filed indicates data missing or illegible when filed























TABLE 33







Com Ex 55
Com Ex 56
Com Ex 57
Example 37
Com Ex 58
Com Ex 59
Com Ex 60
Example 38


Item
Unit
Br=1.0
Dr=1.0
Ir=1.0
Kr=1.0

text missing or illegible when filed

Br=0.5
Dr=0.5
Kr=0.5
























HFO-1132 (E)
mass %
0.0
0.0
72.0
61.7
63.3
0.0
0.0
51.3


HFO-1123
mass %
58.7
80.1
0.0
5.9
0.0
56.1
84.7
10.6


R1234 (ze + yf)
mass %
41.3
19.9
28.0
32.4
31.4
38.6
10.0
32.8


R32
mass %
0.0
0.0
0.0
0.0
5.3
5.3
5.3
5.3


GWP

2
2
2
2
38
38
37
38


COP ratio
% ( custom-character  R410A)
95.5
92.5
99.9
99.4
100.4
96.8
92.6
99.5


Refrigerating capacity ratio
% ( custom-character  R410A)
85.0
97.7
86.6
85.5
85.0
85.0
103.9
85.7


Condensation glide
° C.
5.4
1.9
1.7
2.5
3.5
6.6
1.4
4.3






text missing or illegible when filed indicates data missing or illegible when filed























TABLE 34







Com Ex 61
Com Ex 62
Com Ex 63
Com Ex 64
Example 39
Com Ex 65
Com Ex 66
Com Ex 67


Item
Unit
Ar=1.0
Br=1.0
Dr=1.0
Ir=1.0
Kr=1.0

text missing or illegible when filed

Ar=0.5
Br=0.5
























HFO-1132 (E)
mass %
58.5
0.0
0.0
63.3
50.2
55.8
53.7
0.0


HFO-1123
mass %
0.0
50.5
82.4
0.0
7.2
0.0
0.0
48.1


R1234 (ze + yf)
mass %
36.2
44.2
12.3
31.4
37.3
33.1
35.2
40.8


R32
mass %
5.3
5.3
5.3
5.3
5.3
11.1
11.1
11.1


GWP

38
38
37
38
38
77
77
77


COP ratio
% ( custom-character  R410A)
99.8
96.6
92.6
99.7
99.2
100.7
100.5
98.0


Refrigerating capacity ratio
% ( custom-character  R410A)
85.0
85.0
103.9
87.3
85.5
85.0
85.0
85.0


Condensation glide
° C.
2.7
5.7
1.1
2.3
3.3
4.7
4.3
6.9






text missing or illegible when filed indicates data missing or illegible when filed























TABLE 35







Com Ex 68
Example 40
Com Ex 69
Com Ex 70
Com Ex 71
Example 41
Com Ex 72
Com Ex 73


Item
Unit
Ir=0.5
Kr=0.5
Ar=1.0
Br=1.0
Ir=1.0
Kr=1.0
Ar=0.5
Br=0.5
























HFO-1132 (E)
mass %
37.0
42.1
48.4
0.0
37.0
40.9
45.4
0.0


HFO-1123
mass %
51.9
10.4
0.0
42.3
51.9
6.6
0.0
41.2


R1234 (ze + yf)
mass %
0.0
36.4
40.5
46.6
0.0
41.4
38.2
42.4


R32
mass %
11.1
11.1
11.1
11.1
11.1
11.1
16.4
16.4


GWP

76
77
77
77
76
77
113
113


COP ratio
% ( custom-character  R410A)
94.3
99.7
99.8
97.6
94.3
99.3
100.6
98.9


Refrigerating capacity ratio
% ( custom-character  R410A)
110.2
85.6
85.0
85.0
110.2
85.4
85.0
85.0


Condensation glide
° C.
0.2
5.0
3.4
5.8
0.2
3.8
4.8
7.0

























TABLE 36







Com Ex74
Example42
Com Ex75
Com Ex76
Com Ex77
Example43
Com Ex78
Com Ex79


Item
Unit
Ir=5
Kr=0.5
Ar=1.0
Br=1.0
Ir=1.0
Kr=1.0
Ar=0.5
Br=0.5
























HFO-1132(E)
mass %
50.2
35.4
36.4
0.0
50.2
32.6
31.0
0.0


HFO-1123
mass %
0.0
9.0
0.0
33.0
0.0
3.4
0.0
29.0


R1234(ze + yf)
mass %
33.4
39.2
47.2
49.1
33.4
47.6
42.4
44.4


R32
mass %
16.4
16.4
16.4
16.4
16.4
16.4
26.6
26.6


GWP

113
113
113
113
113
113
182
182


COP ratio
% (custom-character R410A)
100.3
100.1
99.9
98.4
99.4
99.6
101.2
100.4


Refrigerating capacity ratio
% (custom-character R410A)
87.7
85.4
85.0
85.0
90.2
85.3
85.0
85.0


Condensation glide
° C.
4.2
5.4
3.8
5.6
2.7
4.1
5.4
6.6

























TABLE 37







Com Ex 80
Example 44
Com Ex 81
Com Ex 82
Com Ex 83
Com Ex 84
Com Ex 85
Com Ex 86


Item
Unit
Ir=0.5
Kr=0.5

text missing or illegible when filed

Br=1.0
Ir=1.0

text missing or illegible when filed

Br=0.5
Ir=0.5
























HFO-1132 (E)
mass %
41.8
25.9
24.9
0.0
41.8
19.9
0.0
36.4


HFO-1123
mass %
0.0
4.7
0.0
23.0
0.0
0.0
19.3
0.0


R1234 (ze + yf)
mass %
31.6
42.8
48.5
50.4
31.6
44.8
45.4
28.3


R32
mass %
26.6
26.6
26.6
26.6
26.6
35.3
35.3
35.3


GWP

182
182
182
182
181
241
241
240


COP ratio
% ( custom-character  R410A)
100.2
101.0
100.4
99.8
99.4
101.8
101.4
100.3


Refrigerating capacity ratio
% ( custom-character  R410A)
91.2
85.1
85.0
85.0
93.8
85.0
85.0
94.7


Condensation glide
° C.
3.9
5.6
4.1
5.0
2.5
5.42
6.0
3.3






text missing or illegible when filed indicates data missing or illegible when filed























TABLE 38







Com Ex 87
Com Ex 88
Com Ex 89
Com Ex 90
Com Ex 91
Com Ex 92
Com Ex 93
Com Ex 94


Item
Unit
Ar=1.0
Br=1.0
Ir=1.0
Kr=1.0
Ar=0.5
Br=0.5
Ir=0.5
Kr=0.5
























HFO-1132 (E)
mass %
13.8
0.0
36.4
22.9
10.4
0.0
32.2
18.8


HFO-1123
mass %
0.0
13.2
0.0
0.0
0.0
10.4
0.0
0.0


R1234 (ze + yf)
mass %
50.9
51.5
28.3
41.8
45.8
45.8
24.0
37.4


R32
mass %
35.3
35.3
35.3
35.3
43.8
43.8
43.8
43.8


GWP

240
240
240
240
298
298
297
298


COP ratio
% ( custom-character  R410A)
101.1
100.8
99.6
100.4
102.5
102.3
100.4
101.6


Refrigerating capacity ratio
% ( custom-character  R410A)
85.0
85.0
97.1
90.1
85.0
85.0
98.2
90.3


Condensation glide
° C.
3.9
4.3
2.0
3.1
5.1
5.27
2.7
4.2

























TABLE 39







Com Ex 95
Com Ex 96
Com Ex 97
Com Ex 98
Com Ex 99
Com Ex 100
Com Ex 101
Com Ex 102


Item
Unit
Ar=1.0
Br=1.0
Ir=1.0
Kr=1.0
Ar=0.5
Br=0.5
Ir=0.5
Kr=0.5
























HFO-1132 (E)
mass %
4.1
0.0
32.2
21.2
6.2
0.0
30.4
18.4


HFO-1123
mass %
0.0
4.1
0.0
0.0
0.0
2.5
0.0
0.0


R1234ze
mass %
52.1
52.1
24.0
35.0
46.0
46.0
21.8
33.8


R32
mass %
43.8
43.8
43.8
43.8
47.8
47.8
47.8
47.8


GWP

298
298
297
297
325
325
324
325


COP ratio
% ( custom-character  R410A)
101.8
101.7
99.8
100.5
102.8
102.7
100.5
101.5


Refrigerating capacity ratio
% ( custom-character  R410A)
85.0
85.0
100.3
94.7
85.0
85.0
99.9
92.8


Condensation glide
° C.
3.4
3.5
1.6
2.3
4.8
4.9
2.4
3.7




















TABLE 40







Com Ex 103
Com Ex 104
Com Ex 105


Item
Unit
Ar = 1.0 = Br = 1.0
Ir = 1.0
Kr = 1.0



















HFO-1132 (E)
mass%
0.0
30.4
20.4


HFO-1123
mass%
0.0
0.0
0.0


R1234(ze + yf)
mass%
52.2
21.8
31.8


R32
mass%
47.8
47.8
47.8


GWP

325
324
324


COP ratio
% (custom-character R410A)
102.1
100.0
100.6


Refrigerating
% (custom-character R410A)
85.0
101.8
96.8


capacity ratio






Condensation
°C.
3.1
1.4
2.0


glide









Tables 41 to 47 show the results obtained by evaluating the flammability of the mixed refrigerants in the same manner as stated above.


















TABLE 41





Item
Unit
G′r=0.5
Ir=0.5

text missing or illegible when filed

Ir=1.0

text missing or illegible when filed

Ir=1.0

text missing or illegible when filed

Ir=0.5

























WCF
HFO-1132 (E)
mass %
72.0
72.0
72.0
72.0
63.3
63.3
55.8
37.0



HFO-1123
mass %
0.8
0.0
0.0
0.0
0.0
0.0
0.0
51.9



R1234 (ze + yf)
mass %
27.2
28.0
28.0
28.0
31.4
31.4
33.1
0.0



R32
mass %
0.0
0.0
0.0
0.0
5.3
5.3
11.1
11.1
















Burning Verocity (WCF)
cm/s
10
10
10
10
10
10
10
10






text missing or illegible when filed indicates data missing or illegible when filed























TABLE 42





Item
Unit
Ir=1.0
Ir=0.5
Ir=1.0
Ir=0.5
Ir=1.0
Ir=0.5
Ir=1.0
Ir=0.5

























WCF
HFO-1132 (E)
mass %
37.0
50.2
50.2
41.8
41.8
36.4
36.4
32.2



HFO-1123
mass %
51.9
0.0
0.0
0.0
0.0
0.0
0.0
0.0



R1234 (ze + yf)
mass %
0.0
33.4
33.4
31.6
31.6
28.3
28.3
24.0



R32
mass %
11.1
16.4
16.4
26.6
26.6
35.3
35.3
43.8
















Burning Verocity (WCF)
cm/s
10
10
10
10
10
10
10
10




















TABLE 43





Item
Unit
Ir=1.0
Ir=0.5
Ir=1.0




















WCF
HFO-1132 (E)
mass %
32.2
30.4
30.4



HFO-1123
mass %
0.0
0.0
0.0



R1234 (ze + yf)
mass %
24.0
21.8
21.8



R32
mass %
43.8
47.8
47.8











Burning Verocity (WCF)
cm/s
10
10
10

























TABLE 44





Item
Unit
Qr=0.5
Nr=0.5
Kr=0.5
Qr=1.0
Nr=1.0
Kr=1.0
Kr=0.5
Kr=1.0

























WCF
HFO-1132(E)
mass %
63.4
67.3
62.8
66.0
68.6
61.7
51.3
50.2



HFO-1123
mass %
31.8
17.7
8.8
26.2
16.2
5.9
10.6
7.2



R1234(ze + yf)
mass %
4.8
15,0
28.4
7.8
15.2
32.4
32.8
37.3



R32
mass %
0.0
0.0
0.0
0.0
0.0
0.0
5.3
5.3















Leak conditions for achieving WCFF
Storage
Storage
Storage
Storage
Storage
Storage
Storage
Storage



and
and
and
and
and
and
and
and



transport
transport
transport
transport
transport
transport
transport
transport



at
at
at
at
at
at
at
at



−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.



88%
68%
20%
86%
68%
0%
0%
0%



release,
release,
release,
release,
release,
release,
release,
release,



gas phase
liquid
gas phase
gas phase
gas phase
gas phase
gas phase
gas phase



side
phase side
side
side
side
side
side
side

















WCFF
HFO-1132(E)
mass %
72.0
72.0
72.0
72.0
72.0
72.0
59.6
59.3



HFO-1123
mass %
18.7
14.5
13.4
15.7
13.1
10.9
18.3
12.8



R1234ze
mass %
4.8
5.9
5.6
0.0
0.0
0.0
5.2
0.0



R1234yf
mass %
4.7
7.6
9.0
12.3
14.9
18.1
8.9
19.7



R32
mass %
0.0
0.0
0.0
0.0
0.0
0.0
8.0
8.2
















Burning Verocity (WCF)
cm/s
8 or less
8.5
8 or less
8.1
8.9
8 or less
8 or less
8 or less


Burning velocity (WCFF)
cm/s
10
10
10
10
10
10
10
10

























TABLE 45





Item
Unit
Kr=0.5
Kr=1.0
Kr=0.5
Kr=1.0
Kr=0.5
Ar=1.0 = Kr=1.0
Ar=0.5 = Kr=0.5
Kr=1.0

























WCF
HFO-1132 (E)
mass %
42.1
40.9
35.4
32.6
25.9
24.9
19.9
22.9



HFO-1123
mass %
10.4
6.6
9.0
3.4
4.7
0.0
0.0
0.0



R1234 ze
mass %
36.4
41.4
39.2
47.6
42.8
48.5
44.8
41.8



R32
mass %
11.1
11.1
16.4
16.4
26.6
26.6
35.3
35.3















Leak conditions for achieving WCFF
and
and
and
and
and
and
and
and




















transport
transport
transport
transport
transport
transport
transport
transport





at
at
at
at
at
at
at
at





−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.
−40° C.





0%
0%
0%
0%
0%
0%
0%
0%





release,
release,
release,
release,
release,
release,
release,
release,





gas phase
gas phase
gas phase
gas phase
gas phase
liquid
gas phase
gas phase





side
side
side
side
side
phase side
side
side


WCFF
HFO-1132 (E)
mass %
50.5
50.2
44.7
43.5
36.0
35.4
30.3
31.9



HFO-1123
mass %
17.6
11.7
15.5
6.3
8.4
0.0
0.0
0.0



R1234ze
mass %
5.9
0.0
6.2
0.0
7.1
0.0
7.9
0.0



R1234yf
mass %
9.8
21.8
10.8
25.9
12.4
27.4
13.8
23.6



R32
mass %
16.2
16.3
22.8
24.3
36.1
37.2
48.0
44.5
















Burning Verocity (WCF)
cm/s
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less
8 or less


Burning velocity (WCFF)
cm/s
10
10
10
10
10
10
10
10





















TABLE 46





Item
Unit
Kr=0.5
Kr=1.0
Kr=0.5
Kr=1.0





















WCF
HFO-1132 (E)
mass %
18.8
21.2
18.4
20.4



HFO-1123
mass %
0.0
0.0
0.0
0.0



R1234ze
mass %
37.4
35.0
33.8
31.8



R32
mass %
43.8
43.8
47.8
47.8











Leak conditions for achieving WCFF
and
and
and
and



transport
transport
transport
transport
















at
at
at
at





−40° C.
−40° C.
−40° C.
−40° C.





0%
0%
0%
0%





release,
release,
release,
release,





gas phase
gas phase
liquid
gas phase


WCFF
HFO-1132 (E)
mass %
27.9
29.2
27.0
28.1



HFO-1123
mass %
0.0
0.0
0.0
0.0



R1234ze
mass %
6.5
0.0
5.9
0.0



R1234yf
mass %
11.5
19.9
10.3
18.2



R32
mass %
54.1
50.9
56.8
53.7












Burning Verocity (WCF)
cm/s
8 or less
8 or less
8 or less
8 or less


Burning velocity (WCFF)
cm/s
10
10
10
10









These results indicate that the refrigerant according to the present disclosure has a refrigerating capacity ratio of 85% or more relative to that of R410A, and a COP ratio of 92.5% or more relative to that of R410A, and further ensures a WCF lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), HFO-1123, R1234yf, R1234ze, and R32 based on their sum in the mixed refrigerant is respectively x, y, z1, z2, and a, the sum of z1 and z2 is z, z1/z is r, and w=−0.00162a2−0.0097a+0.592,


if 0<a≤11.1, and 0<r≤w, coordinates (x, y, z) in a ternary composition diagram whose vertices are a point of (100−a) mass % of HFO-1132(E), a point of (100−a) mass % of HFO-1123, and a point of (100−a) mass % of the sum of R1234yf and R1234ze are within the range of a figure surrounded by straight lines GG′r, G′rBr, BrDr, DrC, and CG that connect the following 5 points:


point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),


point G′r (0.0314a2−1.8079a+72.0, (−0.0708a2+0.9972a−4.8964)r2+(0.0424a2−0.7622a−3.5518)r+(−0.0199a2+0.0677a+3.8), 100−a−x−y),


point Br (0.0, −r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),


point Dr (0.0, (−0.0603a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471a+86.3), 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines GG′r, G′rBr, and DrC (excluding point G, point Br, point Dr, and point C);


if 0<a≤11.1, and w<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrDr, DrC, and CG that connect the following 6 points:


point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),


point I (0.0314a2−1.8079a+72.0, 0.0, 100−a−x),


point Ar ((−0.0031a2+0.0165a−1.6)r2+(0.0095a2−0.2769a−6.0)r+(0.0084a2−1.7237a+76.2), 0.0, 100−a−x),


point Br (0.0, (−a2)r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),


point Dr (0.0, (−0.0603a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471a+86.3), 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines GI, IAr, ArBr, and DrC (excluding point G, point I, point Ar, point Br, point Dr, and point C);


if 11.1<a≤16.4, and 0<r≤w, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GG′r, G′rBr, BrO, and OG that connect the following 4 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point G′r (0.021a2−0.1227a+4.6878, (4.1824a2−114.54a+753.47)r2+(0.0346a2+0.3301a−14.707)r+(−0.0099a2−0.1227a+4.6878), 100−a−x−y),


point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GG′r and G′rBr (excluding point G and point Br);


if 11.1<a≤16.4, and w<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x),


point Ar ((0.1221a2−4.6027a−34.247)r2+(−0.0564a2+2.0217a−23.397)r+(0.0076a2−1.7a+76.031), 0.0, 100−a−x),


point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br);


if 16.4<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),


point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x), point A, ((0.1221a2−4.6027a−34.247)r2+(−0.0564a2+2.0217a−23.397)r+(0.0076a2−1.7a+76.031), 0.0, 100−a−x),


point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br);


if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (0.00738a2−1.0762a+65.22, 100−a−x, 0.0),


point I (0.00738a2−1.0762a+65.22, 0.0, 100−a−x),


point Ar ((−0.009465a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.005842a2−1.5915a+74.4), 0.100−a−x),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br); and


if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:


point G (−0.45a+51.91, 100−a−x, 0.0),


point I (−0.45a+51.91, 0.0, 100−a−x),


point Ar ((−1.6r2+(0.05a−12.39)r+(−1.075a+62.985), 0.100−a−x),


point Br (0.0, (3.8a−167.84)r2+(−3.8a+155.94)r+(−1.025a+60.895), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br).


The results also indicate that the refrigerant according to the present disclosure has a refrigerating capacity ratio of 85% or more relative to that of R410A, and a COP ratio of 92.5% or more relative to that of R410A, and further ensures an ASHRAE lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), HFO-1123, R1234yf, R1234ze, and R32 based on their sum in the mixed refrigerant is respectively x, y, z1, z2, and a, the sum of z1 and z2 is z, z1/z is r, and v=−0.0581a+2.5484,


if 0<a≤11.1, coordinates (x, y, z) in a ternary composition diagram whose vertices are a point of (100−a) mass % of HFO-1132(E), a point of (100−a) mass % of HFO-1123, and a point of (100−a) mass % of the sum of R1234yf and R1234ze are within the range of a figure surrounded by straight lines JKr, KrBr, BrDr, D2C, and CJ that connect the following 5 points:


point J (−0.0072a2−0.8296a+47.1, 100−a−x, 0.0),


point Kr ((−0.0241a2+0.4296a−2.8)r2+(0.033a2−0.6279a+2.0)r+(0.0421a2−2.2419a+62.5), (0.0142a2−0.3016a+1.4)r2+(−0.0167a2+0.2395a−7.9)r+(−0.0289a2+0.4739a+12.4), 100−a−x−y),


point Br (0.0, r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),


point Dr (0.0, (−0.0603a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471x+86.3), 100−a−y), and


point C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),


or on the straight lines JKr, KrBr, BrDr, and DrC (excluding point J, point Br, point Dr, and point C);


if 11.1<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points;


point J (0.0285a2−1.5371a+50.557, 100−a−x, 0.0),


point Kr ((0.0556a2−2.057a+14.984)r2+(−0.0217a40.7843a−6.9374)r+(0.0184a2−1.7325a+59.763), (0.0567a2−2.162a+16.817)r2+(−0.0298a2+1.0456a−15.236)r+(−0.0094a2+0.0329a+14.897), 100−a−x−y),


point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr and KrBr (excluding point J and point Br);


if 26.6<a≤35.3, and 0<r≤v, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points;


point J (−0.00542a2+0.3598a+24.08, 100−a−x, 0.0),


point Kr ((−0.2299a+5.7149)(0.1379a−5.069)r+(−0.7011x+45.351), (0.069a−2.4345)r2+(−0.1264a−5.1368)r+(−0.4943a+22.247), 100−a−x−y),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr and KrBr (excluding point J and point Br);


if 26.6<a≤35.3, and v<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points;


point J (−0.00542a2+0.3598a+24.08, 0.0, 100−a−x),


point Kr ((−0.3218a+8.1609)r2+(1.4023a−38.701)r+(−1.3103a+61.555), 0.0, 100−a−x),


point Ar ((−0.00946a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.00584a2−1.5915a+74.4), 0.0, 100−a−x),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br);


if 35.3<a≤43.8, and 0<r≤v, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points;


point J (−0.00542a2+0.3598a+24.08, 100−a−x, 0.0),


point Kr ((0.2824a−12.367)r2+(0.0235a−1.0306)r+(−0.5529a+40.119), (1.1294a−49.468)r+(−0.5647a+24.734), 100−a−x−y),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr and KrBr (excluding point J and point Br);


if 35.3<a≤43.8, and v<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points;


point J (−0.00542a2+0.3598a+24.08, 100−a−x, 0.0),


point Kr ((0.2588a−12.336)r2+(−0.5294a+29.488)r+(0.0706a+12.808), 0.0, 100−a−x)),


point Ar ((−0.00946a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.00584a2−1.5915a+74.4), 0.0, 100−a−x),


point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br); and


if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points;


point J (−0.1a+33.78, 100−a−x, 0.0),


point Kr (−r2+(−0.2a+15.06)r+15.9, 0.0, 100−a−x),


point Ar (1.6r2+(0.05a−12.39)r+(−1.075a+62.985), 0.0, 100−a−x),


point Br (0.0, (3.8a−167.84)r2+(−3.8a+155.94)r+(−1.025a+60.895), 100−a−y), and


point O (0.0, 100−a, 0.0),


or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br).


The approximate expressions representing the coordinates of each point were obtained as shown below.









TABLE 47







11.1 ≥ a > 0


Point G, I, J












Point
G
I
J

















Refrigerant
a
0.0
5.3
11.1
0.0
5.3
11.1
0.0
5.3
11.1





HFO-1132E
mass %
72.0
63.3
55.8
72.0
63.3
55.8
47.1
42.5
37.0


HFO-1123
mass %
28.0
31.4
33.1
0.0
0.0
0.0
52.9
52.2
51.9


(R1234ze + R1234yf)
mass %
0.0
0.0
0.0
28.0
31.4
33.1
0.0
0.0
0.0











HFO-1132E approximate expression
mass %
0.0314a2 − 1.8079a + 72.0
0.0314a2 − 1.8079a + 72.0
−0.0072a2 − 0.8296a + 47.1


HFO-1123 approximate expression
mass %
100 − a − x
0.0
100 − a − x


(R1234yf + R1234ze) approximate expression
mass %
0.0
100 − a − x
0.0










Point C










Point
C











Refrigerant
a
0.0
5.3
11.1





HFO-1132E
mass %
32.9
23.0
0.0


HFO-1123
mass %
67.1
71.7
88.9


(R1234ze + R1234yf)
mass %
0.0
0.0
0.0









HFO-1132E approximate expression
mass %
−0.189a2 − 0.8664a + 32.9


HFO-1123 approximate expression
mass %
100 − a − x


(R1234yf + R1234ze) approximate expression
mass %
0.0










Point Ar approximated as x = br2 + cr + d

















Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0
0.0
0.5
1.0





HFO-1132E
mass %
76.2
72.8
68.6
67.3
63.3
58.5
58.1
53.7
48.4


HFO-1123
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


(R1234ze + R1234yf)
mass %
23.8
27.2
31.4
27.4
31.4
36.2
30.8
35.2
40.5


a = R32
mass %
0.0
0.0
0.0
5.3
5.3
5.3
11.1
11.1
11.1











HFO-1132E approximate expression
mass %
−1.6r2 − 6.0r + 76.2
−1.6r2 − 7.2r + 67.3
−1.8r2 − 7.9r + 58.1


HFO-1123 approximate expression
mass %
0.0
0.0
0.0










a = R32
0.0
5.3
11.1


Coefficient b
−1.6
−1.6
−1.8


Coefficient c
−6.0
−7.2
−7.9


Coefficient d
76.2
67.3
58.1








Coefficient b approximate expression
−0.0031a2 + 0.0165a − 1.6


Coefficient c approximate expression
0.0095a2 − 0.2769a − 6.0


Coefficient d approximate expression
0.0084a2 − 1.7237a + 76.2


x = HFO-1132E approximate expression
(−0.0031a2 + 0.0165a − 1.6) r2 + (0.0095a2 − 0.2769a − 6.0) r + (0.0084a2 − 1.7237a + 76.2)


y = HFO-1123 approximate expression
0.0


z = (R1234ze + R1234yf) approximate expression
100 − a − x
















TABLE 48







Point Br approximated as y = er2 + fr + g

















Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0
0.0
0.5
1.0




















HFO-1132E
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


HFO-1123
mass %
68.8
64.0
58.7
61.2
56.1
50.5
53.4
48.1
42.3


(R1234ze + R1234yf)
mass %
31.2
36.0
41.3
33.5
38.6
44.2
35.5
40.8
46.6


a = R32
mass %
0.0
0.0
0.0
5.3
5.3
5.3
11.1
11.0
11.1











HFO-1132E approximate expression
mass %
0.0
0.0
0.0


HFO-1123 approximate expression
mass %
−1.0r2 − 9.1r + 68.8
−1.0r2 − 9.7r + 61.2
−1.0r2 − 10.1r + 53.4










a = R32
0.0
5.3
11.1


Coefficient e
−1.0
−1.0
−1.0


Coefficient f
−9.1
−9.7
−10.1


Coefficient g
68.8
61.2
53.4








Coefficient e approximate expression
−1.0


Coefficient f approximate expression
0004a2 − 0.1343a − 9.1


Coefficient g approximate expression
0.008a2 − 1.4765a + 68.8


x = HFO-1132E approximate expression
0.0


y = HFO-1123 approximate expression
(−r2 + (0.004a2 − 0.1343a − 9.1) r + (0.008a2 − 1.4765a + 68.8)


z = (R1234ze + R1234yf) approximate expression
100 − a − y
















TABLE 49







PointDr approximated as y = er2 + fr + g

















Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0
0.0
0.5
1.0




















HFO-1132E
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


HFO-1123
mass %
86.3
83.8
80.1
87.3
84.7
82.4
88.9
88.9
88.9


(R1234ze +
mass %
13.7
16.2
19.9
7.4
10.0
12.3
0.0
0.0
0.0


R1234yf)


a = R32
mass %
0.0
0.0
0.0
5.3
5.3
5.3
11.1
11.1
11.1











HFO-1132E
mass %
0.0
0.0
0.0


approximate


expression


HFO-1123
mass %
−2.4r2
0.6r2
88.9


approximate

3.8r + 86.3
5.5r + 87.3


expression










a = R32
0.0
5.3
11.1


Coefficient e
−2.4
0.6
0.0


Coefficient f
−3.8
−5.5
0.0


Coefficient g
86.3
87.3
88.9








Coefficient e approximate
−0.0603a2 + 0.8857a − 2.4


expression


Coefficient f approximate
 0.1143a2 − 0.9267a − 3.8


expression


Coefficient g approximate
 0.0079a2 + 0.1471a + 86.3


expression


x = HFO-1132E
0.0


approximate expression


y = HFO-1123
(−0.0603a2 + 0.8857a − 2.4)r2 + (0.1143a2


approximate expression
0.9267a − 3.8)r + (0.0079a2 + 0.1471a + 86.3)


z = (R1234ze +
100 − a − y


R1234yf) approximate


expression
















TABLE 50







PointKr approximated as x = br2 + cr + d, y = er2 + dr + e

















Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0
0.0
0.5
1.0




















HFO-1132E
mass %
62.5
62.8
61.7
51.8
51.3
50.2
42.8
42.1
40.9


HFO-1123
mass %
12.4
8.8
5.9
14.1
10.6
7.2
14.1
10.4
6.6


(R1234ze +
mass %
25.1
28.4
32.4
28.8
32.8
37.3
32.0
36.4
41.4


R1234yf)


a = R32
mass %
0.0
0.0
0.0
5.3
5.3
5.3
11.1
11.1
11.1











HFO-1132E
mass %
−2.8r2 +
−1.2r2
−1.0r2


approximate

2.0r + 62.5
0.4r + 51.8
0.9r + 42.8


expression


HFO-1123
mass %
1.4r2
0.2r2
−0.2r2


approximate

7.9r + 12.4
7.1r + 14.1
7.3r + 14.1


expression










a = R32
0.0
5.3
11.1


Coefficient b
−2.8
−1.2
−1.0


Coefficient c
2.0
−0.4
−0.9


Coefficient c
62.5
51.8
42.8








Coefficient a
−0.0241a2 + 0.4296a − 2.8 


Coefficient b approximate
 0.033a2 − 0.6279a + 2.0


expression


Coefficient d approximate
 0.0421a2 − 2.2419a + 62.5


expression










a = R32
0.0
5.3
11.1


Coefficient e
1.4
0.2
−0.2


Coefficient f
−7.9
−7.1
−7.3


Coefficient g
12.4
14.1
14.1








Coefficient e approximate
0.0142a2 − 0.3016a + 1.4


expression


Coefficient f approximate
−0.0167a2 + 0.2395a − 7.9 


expression


Coefficient g approximate
−0.0289a2 + 0.4739a + 12.4


expression


x = HFO-1132E
(−0.0241a2 + 0.4296a − 2.8)r2 + (0.033a2


approximate expression
0.6279a + 2.0)r + (0.0421a2 − 2.2419a + 62.5)


y = HFO-1123
(0.0142a2 − 0.3016a + 1.4)r2 + (−0.0167a2 +


approximate expression
0.2395a − 7.9)r + (−0.0289a2 + 0.4739a + 12.4)


z = (R1234ze + R1234yf)
100 − a − x − y


approximate expression
















TABLE 51







PointG′r approximated as y = er2 + fr + g

















Refrigerant
r
0.0
0.5
0.590
0.00
0.25
0.50
0.0
0.140
0.280




















HFO-1132E
mass %
72.0
72.0
72.0
63.3
63.3
63.3
55.8
55.8
55.8


HFO-1123
mass %
3.8
0.8
0.0
3.6
1.9
0.0
2.1
1.1
0.0


(R1234ze +
mass %
24.2
27.2
28.0
33.1
29.5
31.4
31.0
32.0
33.1


R1234yf)


a = R32
mass %
0.0
0.0
0.0
5.3
5.3
5.3
11.1
11.1
11.1









HFO-1132E
mass %
0.0314a2 − 1.8079a + 72.0


approximate


expression











HFO-1123
mass %
−4.8964r2
−1.6r2
−2.551r2


approximate

3.5518r + 3.8
6.4r + 3.6
6.7857r + 2.1


expression










a = R32
0.0
5.3
11.1


Coefficient e
−4.8964
−1.6000
−2.5510


Coefficient f
−3.5518
−6.4000
−6.7857


Coefficient g
3.8000
3.6000
2.1000








Coefficient e approximate
 −0.0708a2 + 0.9972a − 4.8964


expression


Coefficient f approximate
 0.0424a2 − 0.7622a − 3.5518


expression


Coefficient g approximate
−0.0199a2 + 0.0677a + 3.8 


expression


x = HFO-1132E
0.0314a2 − 1.8079a + 72.0


approximate expression


y = HFO-1123
(−0.0708a2 + 0.9972a − 4.8964)r2 + (0.0424a2 − 0.7622a −


approximate expression
3.5518)r + (−0.0199a2 + 0.0677a + 3.8)


z = (R1234ze + R1234yf)
100 − a − x − y


approximate expression
















TABLE 52





26.6 ≥ a > 11.1







Points G, I, and J









Point











G
I
J

















Refrigerant
a
11.1
16.4
26.6
11.1
16.4
26.6
11.1
16.4
26.6





HFO-1132E
mass %
55.8
50.2
41.8
55.8
50.2
41.8
37.0
33.0
29.8


HFO-1123
mass %
33.1
33.4
31.6
0.0
0.0
0.0
51.9
50.6
43.6


(R1234ze +
mass %
0.0
0.0
0.0
33.1
33.4
31.6
0.0
0.0
0.0


R1234yf)











HFO-1132E
mass %
0.015a2
0.015a2
0.0285a2


approximate

1.4701a + 70.266
1.4701a + 70.266
1.5371a + 50.557


expression


HFO-1123
mass %
100 − a − x
0.0
100 − a − x


approximate


expression


(R1234yf +
mass %
0.0
100 − a − x
0.0


R1234ze)


approximate


expression










PointAr approximated as x = br2 + cr + d

















Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0
0.0
0.5
1.0





HFO-1132E
mass %
58.1
53.7
48.4
50.2
45.4
36.4
36.2
31.0
24.9


HFO-1123
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


(R1234ze +
mass %
30.8
35.2
40.5
33.4
38.2
47.2
37.2
42.4
48.5


R1234yf)


a = R32
mass %
11.1
11.1
11.1
16.4
16.4
16.4
26.6
26.6
26.6











HFO-1132E
mass %
−1.8r2
−8.4r2
−1.8r2


approximate

7.9r + 58.1
5.4r + 50.2
95r + 36.2


expression


HFO-1123
mass %
0.0
0.0
0.0


approximate


expression










a = R32
11.1
16.4
26.6


Coefficient b
−1.8
−8.4
−1.8


Coefficient c
−7.9
−5.4
−9.5


Coefficient d
58.1
50.2
36.2








Coefficient b approximate
 0.1221a2 − 4.6027a + 34.247


expression


Coefficient c approximate
−0.0564a2 + 2.0217a − 23.397


expression


Coefficient d approximate
0.0076a2 − 1.7a + 76.031


expression


x = HFO-1132E
(0.1221a2 − 4.6027a + 34.247)r2 + (−0.0564a2 +


approximate expression
2.02117a − 23.397)r + (0.0076a2 − 1.7a + 76.031)


y = HFO-1123
0.0


approximate expression


z = (R1234ze + R1234yf)
100 − a − x


approximate expression
















TABLE 53







PointBr approximated as y = er2 + fr + g

















Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0
0.0
0.5
1.0




















HFO-1132E
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


HFO-1123
mass %
53.4
48.1
42.3
46.7
41.2
33.0
34.7
29.0
23.0


(R1234ze +
mass %
35.5
40.8
46.6
36.9
42.4
49.1
38.7
44.4
50.4


R1234yf)


a = R32
mass %
11.1
11.1
11.1
16.4
16.4
16.4
26.6
26.6
26.6











HFO-1132E
mass %
0.0
0.0
0.0


approximate


expression


HFO-1123
mass %
−1.0r2
−5.4r2
−0.6r2


approximate

10.1r + 53.4
8.3r + 46.7
11.1r + 34.7


expression










a = R32
11.1
16.4
26.6


Coefficient e
−1.0
−5.4
−0.6


Coefficient f
−10.1
−8.3
−11.1


Coefficient g
53.4
46.7
34.7








Coefficient e approximate
0.0839a2 − 3.138a + 23.492


expression


Coefficient f approximate
−0.0396a2 + 1.4292a − 21.082 


expression


Coefficient g approximate
0.0057a2 − 1.4197a + 68.462


expression


x = HFO-1132E
0.0


approximate expression


y = HFO-1123
(0.0839a2 − 3.138a + 23.492)r2 + (−0.0396a2 +


approximate expression
1.4292a − 21.082)r + (0.0057a2 − 1.4197a + 68.462)


z = (R1234ze + R1234yf)
100 − a − y


approximate expression
















TABLE 54







PointKr approximated as x = br2 + cr + d, y = er2 + dr + e

















Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0
0.0
0.5
1.0




















HFO-1132E
mass %
42.8
42.1
40.9
36.3
35.4
32.6
26.7
25.9
24.9


HFO-1123
mass %
14.1
10.4
6.6
12.9
9.0
3.4
9.1
4.7
0.0


(R1234ze +
mass %
32.0
36.4
41.4
34.4
38.2
47.6
37.6
42.8
48.5


R1234yf)


a = R32
mass %
11.1
11.0
11.1
16.4
16.4
16.4
26.6
26.6
26.6











HFO-1132E
mass %
−1.0r2
−3.8r2 +
−0.4r2


approximate

0.9r + 42.8
0.1r + 36.3
1.4r + 26.7


expression


HFO-1123
mass %
−0.2r2
−3.4r2
−0.6r2


approximate

7.3r + 14.1
6.1r + 12.9
8.5r + 9.1


expression










a = R32
11.1
16.4
26.6


Coefficient b
−1.0
−3.8
−0.4


Coefficient c
−0.9
0.1
−1.4


Coefficient c
42.8
36.3
26.7








Coefficient a
0.0556a2 − 2.057a + 14.984


Coefficient b approximate
−0.0217a2 + 0.7843a − 6.9374


expression


Coefficient d approximate
 0.0184a2 − 1.7325a + 59.763


expression










a = R32
11.1
16.4
26.6


Coefficient e
−0.2
−3.4
−0.6


Coefficient f
−7.3
−6.1
−8.5


Coefficient g
14.1
12.9
9.1








Coefficient e approximate
0.0567a2 − 2.162a + 16.817


expression


Coefficient f approximate
−0.0298a2 + 1.0456a − 15.236


expression


Coefficient g approximate
−0.0094a2 + 0.0329a + 14.897


expression


x = HFO-1132E
(0.0556a2 − 2.057a + 14.984)r2 + (−0.0217a2 + 0.7843a −


approximate expression
6.9374)r + (0.0184a2 − 1.7325a + 59.763)


y = HFO-1123
(0.0567a2 − 2.162a + 16.817)r2 + (−0.0298a2 + 1.0456a −


approximate expression
15.236)r + (−0.0094a2 + 0.0329a + 14.897)


z = (R1234ze + R1234yf)
100 − a − x − y


approximate expression
















TABLE 55







PointG′ r approximated as y = er2 + fr + g

















Refrigerant
r
0.0
0.140
0.280
0.00
0.07
0.14
0.0
0.0
0.0




















HFO-1132E
mass %
55.8
55.8
55.8
52.8
52.8
52.8
50.2
50.2
50.2


HFO-1123
mass %
2.1
1.1
0.0
1.1
0.7
0.0
0.0
0.0
0.0


(R1234ze + R1234yf)
mass %
31.0
32.0
33.1
32.3
33.4
32.3
33.4
33.4
334











a = R32
mass %
11.1
13.8
16.4









HFO-1132E approximate expression
mass %
0.021a − 1.6331a + 71.345











HFO-1123 approximate expression
mass %
−2.551r2 − 6.7857r + 2.1
−30.612r2 − 3.5714r + 1.1
0.0










a = R32
11.1
13.8
16.4


Coefficient e
−2.5510
−30.6120
0.0000


Coefficient f
−6.7857
−3.5714
0.0000


Coefficient g
2.1000
1.1000
0.0000








Coefficient e approximate expression
4.1824a2 − 114.54a + 753.47


Coefficient f approximate expression
0.0346a2 + 0.3301a − 14.707


Coefficient g approximate expression
−0.0099a2 − 0.1227a + 4.6878


x = HFO-1132E approximate expression
0.021a2 − 1.6331a + 71.345x


y = HFO-1123 approximate expression
(4.1824a2 − 114.54a + 753.47)r2 + (0.0346a2 + 0.3301a − 14.707)r +



(−0.0099a2 − 0.1227a + 4.6878)


z = (R1234ze + R1234yf) approximate expression
100 − a − x − y
















TABLE 56





43.8 ≥ a > 26.6







PointG, I, J









Point











G
I
J

















Refrigerant
a
26.6
35.3
43.8
26.6
35.3
43.8
26.6
35.3
43.8





HFO-1132E
mass %
41.8
36.4
32.2
41.8
36.4
32.2
29.8
30.0
29.4


HFO-1123
mass %
31.6
28.3
24.0
0.0
0.0
0.0
43.6
34.7
26.8


(R1234ze +
mass %
0.0
0.0
0.0
31.6
28.3
24.0
0.0
0.0
0.0


R1234yf)











HFO-1132E
mass %
0.00738a2
0.00738a2
−0.00542a2 +


approximate

1.0762a + 65.22
1.0762a + 65.22
0.3598a + 24.08


expression


HFO-1123
mass %
100 − a − x
0.0
100 − a − x


approximate


expression


(R1234yf +
mass %
0.0
100 − a − x
0.0


R1234ze)


approximate


expression










PointAr approximated as x = br2 + cr + d

















Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0
0.0
0.5
1.0





HFO-1132E
mass %
36.2
31.0
24.9
25.5
19.9
13.8
15.9
10.4
4.1


HFO-1123
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


(R1234ze +
mass %
37.2
42.4
48.5
39.2
44.8
50.9
40.3
45.8
52.1


R1234yf)


a = R32
mass %
26.6
26.6
26.6
35.3
35.3
35.3
43.8
43.8
43.8











HFO-1132E
mass %
−1.8r2 − 9.5r + 36.2
−1.0r2 − 10.7r + 25.5
−1.6r2 − 10.2r + 15.9


approximate


expression


HFO-1123
mass %
0.0
0.0
0.0


approximate


expression










a = R32
26.6
35.3
43.8


Coefficient b
−1.8
−1.0
−1.6


Coefficient c
−9.5
−10.7
−10.2


Coefficient d
36.2
25.5
15.9








Coefficient b approximate
−0.00946a2 + 0.6769a − 13.11


expression


Coefficient c approximate
0.01143a2 − 0.846a + 4.9102


expression


Coefficient d approximate
0.00584a2 − 1.5915a + 74.4


expression


x = HFO-1132E
(−0.00946a2 + 0.6769a − 13.119)r2 + (0.01143a2


approximate expression
0.846a + 4.9102)r + (0.00584a2 − 1.5915a + 74.4)


y = HFO-1123
0.0


approximate expression


z = (R1234ze + R1234yf)
100 − a − x


approximate expression
















TABLE 57







PointBr approximated as y = er2 + fr + g

















Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0
0.0
0.5
1.0




















HFO-1132E
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


HFO-1123
mass %
34.7
29.0
23.0
25.0
19.3
13.2
16.0
10.4
4.1


(R1234ze +
mass %
38.7
44.4
50.4
39.7
45.4
51.5
40.2
45.8
52.1


R1234yf)


a = R32
mass %
26.6
26.6
26.6
35.3
35.3
35.3
43.8
43.8
43.8











HFO-1132E
mass %
0.0
0.0
0.0


approximate


expression


HFO-1123
mass %
−0.6r2 − 11.1r + 34.7
−0.8r2 − 11.0r + 25.0
−1.4r2 − 10.5r + 16.0


approximate


expression










a = R32
26.6
35.3
43.8


Coefficient e
−0.6
−0.8
−1.4


Coefficient f
−11.1
−11.0
−10.5


Coefficient g
34.7
25.0
16.0








Coefficient e approximate
−0.00279a2 + 0.1483a − 2.5871 


expression


Coefficient f approximate
0.00277a2 − 0.1588a − 8.822 


expression


Coefficient g approximate
0.00327a2 − 1.3169a + 67.421


expression


x = HFO-1132E
0.0


approximate expression


y = HFO-1123
(−0.00279a2 + 0.1483a − 2.5871)r2 + (0.00277a2 − 0.1588a −


approximate expression
8.822)r + (0.00327a2 − 1.3169a + 67.421)


z = (R1234ze + R1234yf)
100 − a − y


approximate expression
















TABLE 58







35.3≥ a >26.6


v = 0.581a + 2.5484


v ≥ r >0








PointKr
approximated as x = br2 + cr + d, y = er2 + dr + e














Refrigerant
r
0.0
0.5
1.0
0.00
0.25
0.50


HFO-1132E
mass%
26.7
25.9
24.9
20.6
20.4
19.9


HFO-1123
mass%
9.1
4.7
0.0
4.8
2.4
0.0


(R1234ze + R1234yf)
mass%
37.6
42.8
48.5
39.3
41.9
44.8


a = R32
mass%
26.6
26.6
26.6
35.3
35.3
35.3










HFO-1132E approximate expression
mass%
−0.4r2 − 1.4r + 26.7
−2.4r2 − 0.2r + 20.6


HFO-1123 approximate expression
mass%
−0.6r2 −8.5r + 9.1
−9.6r + 4.8









a = R32
26.6
35.3


Coefficient b
−0.4
−2.4


Coefficient c
−1.4
−0.2


Coefficient c
26.7
20.6








Coefficient b approximate expression
−0.2299a + 5.7149


Coefficient c approximate expression
0.1379a − 5.069


Coefficient d approximate expression
−0.7011a + 45.351









a = R32
26.6
35.3


Coefficient e
−0.6
0.0


Coefficient f
−8.5
−9.6


Coefficient g
9.1
4.8








Coefficient e approximate expression
0.069a − 2.4345


Coefficient f approximate expression
− 0.1264a − 5.1368


Coefficient g approximate expression
−0.4943a + 22.247


x = HFO-1132E approximate expression
(−0.2299a + 5.7149)r2 + (0.1379a− 5.069)r + (−0.7011a + 45.351)


y = HFO-1123 approximate expression
(0.069a − 2.4345)r2 + (−0.1264a-5.1368)r + (−0.4943a + 22.247)


z = (R1234ze + R1234yf) approximate expression
100-a-x-y
















TABLE 59







1 ≥ r > v


PointK approximated as x = br2 + cr + d














Refrigerant
r
0.0
0.5
1.0
0.50
0.75
1.00

















HFO-1132E
mass %
26.7
25.9
24.9
19.9
21.6
22.9


HFO-1123
mass %
9.1
4.7
0.0
0.0
0.0
0.0


(R1234ze +
mass %
37.6
42.8
48.5
44.8
43.1
41.8


R1234yf)


a = R32
mass %
26.6
26.6
26.6
35.3
35.3
35.3










HFO-1132E
mass %
−0.4r2 − 1.4r + 26.7
−3.2r2 + 10.8r + 15.3


approximate


expression


HFO-1123
mass %
−0.6r2 − 8.5r + 9.1 
 0.0


approximate


expression









a = R32
26.6
35.3


Coefficient b
−0.4
−3.2


Coefficient c
−1.4
10.8


Coefficient d approximate
26.7
15.3


expression








Coefficient b approximate
−0.3218a + 8.1609


expression


Coefficient c approximate
 1.4023a − 38.701


expression


Coefficient d approximate
−1.3103a + 61.555


expression


x = HFO-1132E
(−0.3218a + 8.1609)r2 + (1.4023a − 38.701)r + (−1.3103a + 61.555)


approximate expression


y = HFO-1123
0.0


approximate expression


z = (R1234ze + R1234yf)
100 − a − x


approximate expression
















TABLE 60







43.8 ≥ a > 35.3


v = 0.581a + 2.5484


v ≥ r > 0


PointKr approximated as x = br2 + cr + d, y = er2 + dr + e














Refrigerant
r
0.00
0.25
0.50
0.0
0.0
0.0

















HFO-1132E
mass %
20.6
20.4
19.9
15.9
15.9
15.9


HFO-1123
mass %
4.8
2.4
0.0
0.0
0.0
0.0


(R1234ze +
mass %
39.3
41.9
44.8
40.3
40.3
40.3


R1234yf)


a = R32
mass %
35.3
35.3
35.3
43.8
43.8
43.8










HFO-1132E
mass %
−2.4r2
15.9


approximate

0.2r + 20.6


expression


HFO-1123
mass %
−9.6r + 4.8
0.0


approximate


expression









a = R32
35.3
43.8


Coefficient b
−2.4
0.0


Coefficient c
−0.2
0.0


Coefficient d approximate
20.6
15.9


expression








Coefficient b approximate
0.2824a − 12.367


expression


Coefficient c approximate
0.0235a − 1.0306


expression


Coefficient d approximate
−0.5529a + 40.119 


expression









a = R32
35.3
43.8


Coefficient e
0.0
0.0


Coefficient f
−9.6
0.0


Coefficient g
4.8
0.0








Coefficient e approximate
0.0


expression


Coefficient f approximate
1.1294a − 49.468


expression


Coefficient g approximate
−0.5647a + 24.734 


expression


x = HFO-1132E
(0.2824a − 12.367)r2 + (0.0235a − 1.0306)r + (−0.5529a + 40.119)


approximate expression


y = HFO-1123
(1.1294a − 49.468)r + (−0.5647a + 24.734)


approximate expression


z = (R1234ze + R1234yf)
100 − a − x − y


approximate expression
















TABLE 61







1 > r ≥ v


PointKr approximated as x = br2 + cr + d














Refrigerant
r
0.50
0.75
1.00
0.0
0.5
1.0

















HFO-1132E
mass %
19.9
21.6
22.9
15.9
18.8
21.2


HFO-1123
mass %
0.0
0.0
0.0
0.0
0.0
0.0


(R1234ze +
mass %
44.8
43.1
41.8
40.3
37.4
35.0


R1234yf)


a = R32
mass %
35.3
35.3
35.3
43.8
43.8
43.8










HFO-1132E
mass %
−3.2r2 +
−1.0r2 +


approximate

10.8r + 15.3
6.3r + 15.9


expression


HFO-1123
mass %
0.0
0.0


approximate


expression









a = R32
35.3
43.8


Coefficient b
−3.2
−1.0


Coefficient c
10.8
6.3


Coefficient c
15.3
15.9








Coefficient b approximate
0.2588a − 12.336


expression


Coefficient c approximate
−0.5294a + 29.488 


expression


Coefficient d approximate
0.0706a + 12.808


expression


x = HFO-1132E
(0.2588a − 12.336)r2 + (−0.5294a +


approximate expression
29.488)r + (0.0706a + 12.808)


y = HFO-1123
0.0


approximate expression


z = (R1234ze + R1234yf)
100 − a − x


approximate expression
















TABLE 62





47.8 ≥ a > 43.8







PointG, I, J









Point











G
I
J














Refrigerant
a
43.8
47.8
43.8
47.8
43.8
47.8





HFO-1132E
mass %
32.2
30.4
32.2
30.4
29.4
29.0


HFO-1123
mass %
24.0
21.8
0.0
0.0
26.8
23.2


(R1234ze +
mass %
0.0
0.0
24.0
21.8
0.0
0.0


R1234yf)











HFO-1132E
mass %
−0.45a + 51.91
−0.45a + 51.91
−0.1a + 33.78


approximate


expression


HFO-1123
mass %
100 − a − x
0.0
100 − a − x


approximate


expression


(R1234yf +
mass %
0.0
100 − a − x
0.0


R1234ze)


approximate


expression










PointAr approximated as x = br2 + cr + d














Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0





HFO-1132E
mass %
15.9
10.4
4.1
11.6
6.2
0.0


HFO-1123
mass %
0.0
0.0
0.0
0.0
0.0
0.0


(R1234ze +
mass %
40.3
45.8
52.1
40.6
46.0
52.2


R1234yf)


a = R32
mass %
43.8
43.8
43.8
47.8
47.8
47.8










HFO-1132E
mass %
−1.6r2
−1.6r2


approximate

10.2r + 15.9
10.0r + 11.6


expression


HFO-1123
mass %
0.0
0.0


approximate


expression









a = R32
43.8
47.8


Coefficient b
−1.6
−1.6


Coefficient c
−10.2
−10.0


Coefficient d
15.9
11.6








Coefficient b approximate
−1.6 


expression


Coefficient c approximate
0.05a − 12.39


expression


Coefficient d approximate
−1.075a + 62.985 


expression


x = HFO-1132E
−1.6r2 + (0.05a −


approximate expression
12.39)r + (−1.075a + 62.985)


y = HFO-1123
0.0


approximate expression


z = (R1234ze + R1234yf)
100 − a − x


approximate expression
















TABLE 63







PointBr approximated as y = er2 + fr + g














Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0

















HFO-1132E
mass %
0.0
0.0
0.0
0.0
0.0
0.0


HFO-1123
mass %
16.0
10.4
4.1
11.9
2.5
0.0


(R1234ze +
mass %
40.2
45.8
52.1
40.3
46.0
52.2


R1234yf)


a = R32
mass %
43.8
43.8
43.8
47.8
47.8
47.8










HFO-1132E
mass %
0.0
0.0


approximate


expression


HFO-1123
mass %
−1.4r2 − 10.5r + 16.0
13.8r2 − 25.7r + 11.9


approximate


expression









a = R32
43.8
47.8


Coefficient e
−1.4
13.8


Coefficient f
−10.5
−25.7


Coefficient g
16.0
11.9








Coefficient e approximate
 3.8a − 167.84


expression


Coefficient f approximate
−3.8a + 155.94


expression


Coefficient g approximate
−1.025a + 60.895 


expression


x = HFO-1132E
0.0


approximate expression


y = HFO-1123
(3.8a − 167.84)r2 + (−3.8a + 155.94)r + (−1.025a + 60.895)


approximate expression


z = (R1234ze + R1234yf)
100 − a − y


approximate expression
















TABLE 64







PointKr approximated as x = br2 + cr + d














Refrigerant
r
0.0
0.5
1.0
0.0
0.5
1.0

















HFO-1132E
mass %
15.9
18.8
21.2
15.9
18.4
20.4


HFO-1123
mass %
0.0
0.0
0.0
0.0
0.0
0.0


(R1234ze +
mass %
40.3
37.4
35.0
36.3
33.8
31.8


R1234yf)


a = R32
mass %
43.8
43.8
43.8
47.8
47.8
47.8










HFO-1132E
mass %
−1.0r2 + 6.3r + 15.9
−1.0r2 + 5.5r + 15.9


approximate


expression


HFO-1123
mass %
0.0
0.0


approximate


expression









a = R32
43.8
47.8


Coefficient b
−1.0
−1.0


Coefficient c
6.3
5.5


Coefficient c
15.9
15.9








Coefficient b approximate
−1.0


expression


Coefficient c approximate
−0.2a + 15.06


expression


Coefficient d approximate
15.9


expression


x = HFO-1132E
−r2 + (−0.2a + 15.06)r + 15.9


approximate expression


y = HFO-1123
 0.0


approximate expression


z = (R1234ze + R1234yf)
100 − a − x


approximate expression









DESCRIPTION OF REFERENCE NUMERALS

1: Sample cell


2: High-speed camera


3: Xenon lamp


4: Collimating lens


5: Collimating lens


6: Ring filter

Claims
  • 1. A composition comprising a refrigerant, the refrigerant comprising trans-1,2-difluoroethylene (HFO-1132(E)), trifluoroethylene (HFO-1123), 1,3,3,3-tetrafluoropropene (R1234ze), and difluoromethane (R32).
  • 2. The composition according to claim 1, wherein when the mass % of HFO-1132(E), HFO-1123, R1234ze, and R32 based on their sum in the refrigerant is respectively represented by x, y, z, and a,if 0<a≤11.1, coordinates (x, y, z) in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is (100−a) mass % are within the range of a figure surrounded by straight lines GG′, G′B, BD, DC, and CG that connect the following 5 points:point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),point G′ (0.0314a2−1.8079a+72.0, −0.0199a2+0.0677a+3.8, 100−a−x−y),point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y),point D (0.0, 0.0234a2+0.0647a+86.3, 100−a−y), andpoint C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),or on the straight lines GG′, G′B, and DC (excluding point B, point D, point C, and point G); if 11.1<a≤16.4, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GG′, G′B, BO, and OG that connect the following 4 points:point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),point G′ (−1.0566a+67.528, −0.3962a+6.4981, 100−a−x−y),point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines GG′ and G′B (excluding point B, point O, and point G); if 16.4<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x),point A (0.0076a2−1.7a+76.031, 0.0, 100−a−x),point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines GI and AB (excluding point C, point I, point A, and point B); if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:point G (0.00738a2−1.0762a+65.22, 100−a−x, 0.0),point I (0.00738a2−1.0762a+65.22, 0.0, 100−a−x),point A (0.00582a2−1.5915a+74.4, 0.0, 100−a−x),point B (0.0, 0.00328a2−1.3169a+67.421, 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines GI and AB (excluding point G, point I, point A, and point B); and if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IA, AB, BO, and OG that connect the following 5 points:point G (−0.45a+51.91, 100−a−x, 0.0),point I (−0.45a+51.91, 0.0, 100−a−x),point A (−1.075a+62.985, 0.0, 100−a−x),point B (0.0, −1.025a+60.895, 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines GI and AB (excluding point G, point I, point A, and point B).
  • 3. The composition according to claim 1, wherein when the mass % of HFO-1132(E), HFO-1123, R1234ze, and R32 based on their sum in the refrigerant is respectively represented by x, y, z, and a,if 0<a≤11.1, coordinates (x, y, z) in a ternary composition diagram in which the sum of HFO-1132(E), HFO-1123, and R1234ze is (100−a) mass % are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BD, DC, and CJ that connect the following 8 points:point J (100−a−y, 0.0072a2−0.1704a+52.9, 0.0),point Q (0.0112a2−1.3048a+62.1, 96.5−a−x, 3.5),point N (0.0207a2−1.5817a+65.9, −0.0547a2+1.1392a+21.6, 100−a−x−y),point M (0.0278a2−1.7325a+64.5, 80.0−a−x, 20.0),point K (0.0421a2−2.2419a+62.5, 100−a−x−z, −0.0132a2+0.768a+25.1),point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y),point D (0.0, 0.0234a2+0.0647a+86.3, 100−a−y), andpoint C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B); if 11.1<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BO, and OJ that connect the following 7 points:point J (100−a−y, −0.0285a2+0.5371a+49.443, 0.0),point Q (0.0166a2−1.382a+62.291, 96.5−a−x, 3.5),point N (0.0183a2−1.5044a+65.339, −0.0395a2+1.4643a+16.116, 100−a−x−y),point M (0.0145a2−1.4001a+62.448, 80.0−a−x, 20.0),point K (0.0184a2−1.7325a+59.763, 100−a−x−z, −0.009a2+0.6996a+25.34),point B (0.0, 0.0057a2−1.4197a+68.462, 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B); if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JQ, QN, NM, MK, KB, BO, and OJ that connect the following 7 points:point J (100−a−y, 0.00542a2−1.3598a+75.92, 0.0),point Q (0.0049a2−0.728a+53.204, 96.5−a−x, 3.5),point N (0.0075a2−0.971a+58.81, −0.0038a2−0.0303a+30.581, 100−a−x−y),point M (0.0019a2−0.7375a+53.782, 80.0−a−x, 20.0),point K (0.0086a2−1.2345a+53.442, 100−a−x−z, −0.0045a2+0.4752a+28.157),point B (0.0, 0.00328a2−1.3169a+67.421, 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines JQ, QN, NM, MK, and KB (excluding point J and point B); and if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JN, NM, MK, KA, AB, BO, and OJ that connect the following 7 points:point J (100−a−y, −0.9a+66.22, 0.0),point N (−0.425a+49.315, −0.3a+8.86, 100−a−x−y),point M (−0.525a+48.095, 80.0−a−x, 20.0),point K (15.9, 0.0, 84.1−a),point A (−1.075a+62.985, 0.0, 100−a−x),point B (0.0, −1.025a+60.895, 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines NM, MK, KA, and AB (excluding point J and point B).
  • 4. The composition according to claim 1, wherein the refrigerant further comprises 2,3,3,3-tetrafluoro-1-propene (R1234yf).
  • 5. The composition according to claim 4, wherein when the mass % of HFO-1132(E), HFO-1123, R1234yf, R1234ze, and R32 based on their sum in the refrigerant is respectively x, y, z1, z2, and a, the sum of z1 and z2 is z, z1/z is r, and w=−0.00162a2−0.0097a+0.592,if 0<a≤11.1, and 0<r≤w, coordinates (x, y, z) in a ternary composition diagram whose vertices are a point of (100−a) mass % of HFO-1132(E), a point of (100−a) mass % of HFO-1123, and a point of (100−a) mass % of the sum of R1234yf and R1234ze are within the range of a figure surrounded by straight lines GG′r, G′rBr, BrDr, DrC, and CG that connect the following 5 points:point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),point G′r (0.0314a2−1.8079a+72.0, (−0.0708a2+0.9972a−4.8964)r2+(0.0424a2−0.7622a−3.5518)r+(−0.0199a2+0.0677a+3.8), 100−a−x−y),point Br (0.0, −r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),point Dr (0.0, (−0.0603a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471a+86.3), 100−a−y), andpoint C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),or on the straight lines GG′r, G′rBr, and DrC (excluding point G, point Br, point Dr, and point C); if 0<a≤11.1, and w<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrDr, DrC, and CG that connect the following 6 points:point G (0.0314a2−1.8079a+72.0, 100−a−x, 0.0),point I (0.0314a2−1.8079a+72.0, 0.0, 100−a−x),point Ar ((−0.0031a2+0.0165a−1.6)r2+(0.0095a2−0.2769a−6.0)r+(0.0084a2−1.7237a+76.2), 0.0, 100−a−x),point Br (0.0, (−a2)r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),point Dr (0.0, (−0.0603a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471a+86.3), 100−a−y), andpoint C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),or on the straight lines GI, IAr, ArBr, and DrC (excluding point G, point I, point Ar, point Br, point Dr, and point C); if 11.1<a≤16.4, and 0<r≤w, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GG′r, G′rBr, BrO, and OG that connect the following 4 points:point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),point G′, (0.021a2−0.1227a+4.6878, (4.1824a2−114.54a+753.47)r2+(0.0346a2+0.3301a−14.707)r+(−0.0099a2−0.1227a+4.6878), 100−a−x−y),point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines GG′r and G′rBr (excluding point G and point Br); if 11.1<a≤16.4, and w<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines CI, IAr, ArBr, BrO, and OG that connect the following 5 points:point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x),point Ar ((0.1221a2−4.6027a−34.247)r2+(−0.0564a2+2.0217a-23.397)r+(0.0076a2−1.7a+76.031), 0.0, 100−a−x),point Br (0.0, (0.0839a2−3.1.38a+23.492)r2+(−0.0396a2+1.4292a-21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br); if 16.4<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:point G (0.015a2−1.4701a+70.266, 100−a−x, 0.0),point I (0.015a2−1.4701a+70.266, 0.0, 100−a−x),point Ar ((0.1221a2−4.6027a−34.247)r2+(−0.0564a2+2.0217a−23.397)r+(0.0076a2−1.7a+76.031), 0.0, 100−a−x),point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br); if 26.6<a≤43.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:point G (0.00738a2−1.0762a+65.22, 100−a−x, 0.0),point I (0.00738a2−1.0762a+65.22, 0.0, 100−a−x),point Ar ((−0.009465a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.005842a2−1.5915a+74.4), 0.100−a−x),point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br); and if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines GI, IAr, ArBr, BrO, and OG that connect the following 5 points:point G (−0.45a+51.91, 100−a−x, 0.0),point I (−0.45a+51.91, 0.0, 100−a−x),point Ar ((−1.6r2+(0.05a−12.39)r+(−1.075a+62.985), 0. 100−a−x),point Br (0.0, (3.8a−167.84)r2+(−3.8a+155.94)r+(−1.025a+60.895), 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines GI, IAr, and ArBr (excluding point G, point I, point Ar, and point Br).
  • 6. The composition according to claim 4, wherein when the mass % of HFO-1132(E), HFO-1123, R1234yf, R1234ze, and R32 based on their sum in the refrigerant is respectively x, y, z1, z2, and a, the sum of z1 and z2 is z, z1/z is r, and v=−0.0581a+2.5484,if 0<a<11.1, coordinates (x, y, z) in a ternary composition diagram whose vertices are a point of (100−a) mass % of HFO-1132(E), a point of (100−a) mass % of HFO-1123, and a point of (100−a) mass % of the sum of R1234yf and R1234ze are within the range of a figure surrounded by straight lines JKr, KrBr, BrDr, DrC, and CJ that connect the following 5 points:point J (−0.0072a2−0.8296a+47.1, 100−a−x, 0.0),point Kr ((−0.0241a2+0.4296a−2.8)r2+(0.033a2−0.6279a+2.0)r+(0.0421a2−2.2419a+62.5), (0.0142a2−0.3016a+1.4)r2+(−0.0167a2+0.2395a−7.9)r+(−0.0289a2+0.4739a+12.4), 100−a−x−y),point Br (0.0, r2+(0.004a2−0.1343a−9.1)r+(0.008a2−1.4765a+68.8), 100−a−y),point Dr (0.0, (−0.0603a2+0.8857a−2.4)r2+(0.1143a2−0.9267a−3.8)r+(0.0079a2+0.1471x+86.3), 100−a−y), andpoint C (−0.189a2−0.8664a+32.9, 100−a−x, 0.0),or on the straight lines JKr, KrBr, BrDr, and DrC (excluding point J, point Br, point Dr, and point C); if 11.1<a≤26.6, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points:point J (0.0285a2−1.5371a+50.557, 100−a−x, 0.0),point Kr ((0.0556a2−2.057a+14.984)r2+(−0.0217a2+0.7843a−6.9374)r+(0.0184a2−1.7325a+59.763), (0.0567a2−2.162a+16.817)r2+(−0.0298a2+1 .0456a−15.236)r+(−0.0094a2+0.0329a+14.897), 100−a−x−y),point Br (0.0, (0.0839a2−3.138a+23.492)r2+(−0.0396a2+1.4292a−21.082)r+(0.0057a2−1.4197a+68.462), 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines JKr and KrBr (excluding point J and point Br); if 26.6<a≤35.3, and 0<r≤v, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points:point J (−0.00542a2+0.3598a+24.08, 100−a−x, 0.0),point Kr ((−0.2299a+5.7149)r2+(0.1379a−5.069)r+(−0.7011x+45.351), (0.069a−2.4345)r2+(−0.1264a−5.1368)r+(−0.4943a+22.247), 100−a−x−y),point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines JKr and KrBr (excluding point J and point Br); if 26.6<a≤35.3, and v<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points:point J (−0.00542a2+0.3598a+24.08, 0.0, 100−a−x),point Kr ((−0.3218a+8.1609)r2+(1.4023a−38.701)r+(−1.3103a+61.555), 0.0, 100−a−x),point Ar ((−0.00946a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.00584a2−1.5915a+74.4), 0.0, 100−a−x),point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br); if 35.3<a≤43.8, and 0<r≤v, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrBr, BrO, and OJ that connect the following 4 points:point J (−0.00542a2+0.3598a+24.08, 100−a−x, 0.0),point Kr ((0.2824a−12.367)r2+(0.0235a−1.0306)r+(−0.5529a+40.119), (1.1294a−49.468)r+(−0.5647a+24.734), 100−a−x−y),point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines JKr and KrBr (excluding point J and point Br);if 35.3<a≤43.8, and v<r≤1, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points:point J (−0.00542a2+0.3598a+24.08, 100−a−x, 0.0),point Kr ((0.2588a−12.336)r2+(−0.5294a+29.488)r+(0.0706a+12.808), 0.0, 100−a−x)),point Ar ((−0.00946a2+0.6769a−13.119)r2+(0.01143a2−0.846a+4.9102)r+(0.00584a2−1.5915a+74.4), 0.0, 100−a−x),point Br (0.0, (−0.00279a2+0.1483a−2.5871)r2+(0.00277a2−0.1588a−8.822)r+(0.00327a2−1.3169a+67.421), 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br); and if 43.8<a≤47.8, coordinates (x, y, z) in the ternary composition diagram are within the range of a figure surrounded by straight lines JKr, KrAr, ArBr, BrO, and OJ that connect the following 5 points:point J (−0.1a+33.78, 100−a−x, 0.0),point Kr (−r2+(−0.2a+15.06)r+15.9, 0.0, 100−a−x),point Ar (−1.6r2+(0.05a−12.39)r+(−1.075a+62.985), 0.0, 100−a−x),point Br (0.0, (3.8a−167.84)r2+(−3.8a+155.94)r+(−1.025a+60.895), 100−a−y), andpoint O (0.0, 100−a, 0.0),or on the straight lines JKr, KrAr, and ArBr (excluding point J, point Ar, and point Br).
  • 7. The composition according to claim 1, for use as a working fluid for a refrigerating machine, wherein the composition further comprises a refrigeration oil.
  • 8. The composition according to claim 1, for use as an alternative refrigerant for R410A.
  • 9. Use of the composition according to claim 1 as an alternative refrigerant for R410A.
  • 10. A refrigerating machine comprising the composition according to claim 1 as a working fluid.
  • 11. A method for operating a refrigerating machine, comprising the step of circulating the composition according to claim 1 as a working fluid in a refrigerating machine.
Priority Claims (1)
Number Date Country Kind
2019-114158 Jun 2019 JP national
Continuations (1)
Number Date Country
Parent PCT/JP2020/024215 Jun 2020 US
Child 17549392 US