COMPOSITION CONTAINING REFRIGERANT, USE OF SAME, REFRIGERATOR COMPRISING THE SAME, AND METHOD FOR OPERATING SAID REFRIGERATOR

Information

  • Patent Application
  • 20220106510
  • Publication Number
    20220106510
  • Date Filed
    December 15, 2021
    3 years ago
  • Date Published
    April 07, 2022
    2 years ago
Abstract
An object of the present disclosure is to provide a novel low-GWP mixed refrigerant. The present disclosure provides a composition comprising a refrigerant, the refrigerant comprising trans-1,2-difluoroethylene (HFO-1132(E)), difluoromethane (R32), and 1,3,3,3-tetrafluoropropene (R1234ze).
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)), difluoromethane (R32), and 1,3,3,3-tetrafluoropropene (R1234ze).


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 S, U, and V, and line segments that connect these points to each other in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass %.



FIG. 3 is a diagram showing point Kr=0.2, point Lr=0.2, point Mr=0.2, point Nr=0.2, point B″r=0.2, point Jr=0.2, point Ir=0.2, point Hr=0.2, point Gr=0.2 point Or=0.2, point Pr=0.2, point Qr=0.2, point Rr=0.2, point Sr=0.2, and point Vr=0.2, and line segments that connect these points to each other in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf when the sum of HFO-1132(E), R32, R1234ze, and R1234yf is 100 mass %, and when r=R1234yf/(R1234ze+R1234yf)=0.2.



FIG. 4 is a diagram showing point Kr=0.27, point Lr=0.27, point Mr=0.27, point Nr=0.27, point B″r=0.27, point Jr=0.27, point Hr=0.27, point Gr=0.27, point Or=0.27, point Pr=0.27, point Qr=0.27, point Rr=0.27, point Sr=0.27, and point V and line segments that connect these points to each other in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf when the sum of HFO-1132(E), R32, R1234ze, and R1234yf is 100 mass %, and when r=R1234yf/(R1234ze+R1234yf)=0.27.



FIG. 5 is a diagram showing point Kr=0.5, point Lr=0.5, point Mr=0.5, point Nr=0.5, point B″r=0.5, point Jr=0.5, point Hr=0.5, point Gr=0.5, point Or=0.5, point Pr=0.5, point Qr=0.5, point Rr=0.5, point Sr=0.5, and point Vr=0.5, and line segments that connect these points to each other in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf when the sum of HFO-1132(E), R32, R1234ze, and R1234yf is 100 mass %, and when r=R1234yf/(R1234ze+R1234yf)=0.5.



FIG. 6 is a diagram showing point Kr=0.64, point Lr=0.64, point Mr=0.64, point Nr=0.64, point B″r=0.64, point Jr=0.64, point Hr=0.64, point Gr=0.64, point Or=0.64, point Pr=0.64, point Qr=0.64, point Rr=0.64, point Sr=0.64, and point V and line segments that connect these points to each other in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf when the sum of HFO-1132(E), R32, R1234ze, and R1234yf is 100 mass %, and when r=R1234yf/(R1234ze+R1234yf)=0.64.



FIG. 7 is a diagram showing point Kr=0.82, point Lr=0.82, point Mr=0.82, point Nr=0.82, point B″r=0.82, point Jr=0.82, point Hr=0.82, point Gr=0.82, point Or=0.82, point Pr=0.82, point Qr=0.82, point Rr=0.82, point Sr=0.82, and point Vr=0.82, and line segments that connect these points to each other in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf when the sum of HFO-1132(E), R32, R1234ze, and R1234yf is 100 mass %, and when r=R1234yf/(R1234ze+R1234yf)=0.82.



FIG. 8 is a diagram showing point Kr=1.0, point Lr=1.0, point Mr=1.0, point Nr=1.0, point B″r=1.0, point Jr=1.0, point Hr=1.0, point Gr=1.0, point Or=1.0, point Pr=1.0, point Qr=1.0, point Rr=1.0, point Sr=1.0, and point Vr=1.0, and line segments that connect these points to each other in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf when the sum of HFO-1132 (E), R32, R1234ze, and R1234yf is 100 mass %, and when r=R1234yf/(R1234ze+R1234yf)=1.0.





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)), difluoromethane (R32), and 1,3,3,3-tetrafluoropropene (R1234ze) 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)), difluoromethane (R32), and 1,3,3,3-tetrafluoropropene (R1234ze).


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


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


when the mass % of HFO-1132(E), R32, and R1234ze based on their sum is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MN, NB″, B″J, JI, IH, HG, and GK that connect the following 9 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point N (28.9, 51.6, 19.5),


point B″ (0.0, 51.4, 48.6),


point J (0.0, 39.1, 60.9),


point I (2.7, 36.5, 60.8),


point H (24.3, 18.0, 57.7), and


point G (50.9, 0.0, 49.1),


or on the line segments KL, LM, MN, NB″, JI, IH, and HG (excluding point B″, point J, point G, and point K),


the line segments LM, MN, NB″, B″J, JI, IH, and GK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2−0.0805x+61.433). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 70% or more relative to that of R410A, and a GWP of 350 or less, 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), R32, and R1234ze based on their sum is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MI, IH, HG, and GK that connect the following 6 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point I (2.7, 36.5, 60.8),


point H (24.3, 18.0, 57.7), and


point G (50.9, 0.0, 49.1),


or on the line segments KL, LM, MI, IH, and HG (excluding point G and point K),


the line segments LM, MI, IH, and GK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x−2.1454x+95.397, −0.0114x°+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2−0.0805x+61.433). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 70% or more relative to that of R410A, and a GWP of 250 or less, 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), R32, and R1234ze based on their sum is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LH, HG, and GK that connect the following 4 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point H (24.3, 18.0, 57.7), and


point G (50.9, 0.0, 49.1),


or on the line segments KL, LH, and HG (excluding point G and point K),


the line segments LH and GK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2-0.0805x+61.433). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 70% or more relative to that of R410A, and a GWP of 125 or less, 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), R32, and R1234ze based on their sum is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MN, NF, FE, ED, DC, and CK that connect the following 8 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point N (28.9, 51.6, 19.5),


point F (1.0, 51.5, 47.5),


point E (16.7, 36.5, 46.8),


point D (39.8, 18.1, 42.1), and


point C (67.6, 0.0, 32.4),


or on the line segments KL, LM, MN, NF, FE, ED, and DC (excluding point C and point K),


the line segments LM, MN, NF, FE, ED, and CK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x′−0.0739x+49.097). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 80% or more relative to that of R410A, and a GWP of 350 or less, 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), R32, and R1234ze based on their sum is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, ME, ED, DC, and CK that connect the following 6 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point E (16.7, 36.5, 46.8),


point D (39.8, 18.1, 42.1), and


point C (67.6, 0.0, 32.4),


or on the line segments KL, LM, ME, ED, and DC (excluding point C and point K),


the line segments LM, ME, ED, and CK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x2−0.0739x+49.097). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 80% or more relative to that of R410A, and a GWP of 250 or less, 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), R32, and R1234ze based on their sum is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LD, DC, and CK that connect the following 4 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point D (39.8, 18.1, 42.1), and


point C (67.6, 0.0, 32.4),


or on the line segments KL, LD, and DC (excluding point C and point K),


the line segments LD and CK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x2−0.0739x+49.097). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 80% or more relative to that of R410A, and a GWP of 125 or less, 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), R32, and R1234ze based on their sum is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by straight lines VR, RS, SB″, B″J, JI, and IV that connect the following 6 points:


point V (17.1, 24.2, 58.7),


point R (16.1, 36.6, 47.3),


point S (15.9, 51.4, 32.7),


point B″ (0.0, 51.4, 48.6),


point J (0.0, 39.1, 60.9), and


point I (2.7, 36.5, 60.8),


or on the straight lines VR, RS, SB″, JI, and IV (excluding point B″ and point J). When the requirements above are satisfied, the refrigerants according to the present disclosure have a refrigerating capacity ratio of 70% 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), R32, and R1234ze based on their sum is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132 (E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by straight lines US, SF, and FU that connect the following 3 points:


point U (16.1, 37.1, 46.8),


point S (15.9, 51.4, 32.7), and


point F (1.0, 51.5, 47.5),


or on the straight lines US, SF, and FU. When the requirements above are satisfied, the refrigerants according to the present disclosure have a refrigerating capacity ratio of 80% or more relative to that of R410A, and further ensures an ASHRAE lower flammability.


The refrigerant according to the present disclosure comprises HFO-1132(E) in an amount of preferably 1 mass % or more, more preferably 5 mass % or more, and still more preferably 10 mass % or more.


The refrigerant according to the present disclosure comprises R32 in an amount of preferably 1 mass % or more, more preferably 5 mass % or more, and still more preferably 10 mass % or more.


The refrigerant according to the present disclosure comprises R1234ze in an amount of preferably 1 mass % or more, more preferably 5 mass % or more, and still more preferably 10 mass % or more.


The refrigerant according to the present disclosure may further comprise R1234yf.


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


when the mass % of HFO-1132(E) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132 (E), R32, R1234ze, and R1234yf in the refrigerant, and when r=R1234yf/(R1234ze+R1234yf), (1) if 0.2≥r>0, coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments KrLr, LrMr, MrNr, NrBr″, Br″Jr, JrIr, IrHr, HrGr, and GrKr that connect the following 9 points:


point Kr (72.0, 0.0, 28.0),


point Lr (−0.0618r−0.0675r+48.612, 0.0618r2+0.0675r+18.088, 33.3),


point Mr (−0.0618r2−0.0675r+35.712, 0.0618r2+0.0675r+36.688, 27.6),


point Nr (−0.0618r2−0.0675r+28.912, 0.0618r2+0.0675r+51.588, 19.5),


point B″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),


point Ir (−13.5r+2.7, 36.5, 13.5r+60.8),


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r=+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments KrLr, LrMr, MrNr, NrBr″, JrIr, IrHr, and HrGr (excluding point Br″, point Jr, point Gr, and point Kr),


the line segments LrMr, MrNr, NrBr″, Br″Jr, JrIr, IrHr, and GrKr are straight lines,


coordinates (x,y,z) of the points on the line segment KrLr, are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.00965r2−0.0024r−0.00319) x2+(−0.6153r2+0.0221r−0.0805) x+(11.593r2+10.251r+61.433)), (2) if 1>r>0.2, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments KrLr, LrMr, MrNr, NrBr″, Br″Jr, JrHr, HrGr, and GrKr that connect the following 8 points:


point Kr (72.0, 0.0, 28.0),


point Lr (−0.0618r2−0.0675r+48.612, 0.0618r2+0.0675r+18.088, 33.3),


point Mr (−0.0618r2−0.0675r+35.712, 0.0618r2+0.0675r+36.688, 27.6),


point Nr (−0.0618r2−0.0675r+28.912, 0.0618r=+0.0675r+51.588, 19.5),


point B″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments KrLr, LrMr, MrNr, NrBr″, JrHr, and HrGr (excluding point Br″, point Jr, point Gr, and point Kr), and


the line segments LrMr, MrNr, NrBr″, Br″Jr, JrHr, and GrKr are straight lines,


wherein


(2-1) if 0.27≥r>0.2,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), and coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, ((0.00965r2−0.0024r−0.00319)x2+(−0.6153r2+0.0221r−0.0805)x+(11.593r2+10.251r+61.433)),


(2-2) if 0.64≥r>0.27,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, (0.0003861r2−0.0002973r−0.011348)x+(−0.050193r2+0.038649r+1.1386)x+(1.583r2−1.2189r+4.8167)), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.011147r2−0.010278r−0.00111674)x2+(−0.8771r2+0.6728r−0.2371)x+(12.661r2+0.7382r+63.924)), and


(3) if 1>r>0.64,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.01138x2+1.1428x+4.685), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r=−0.0006r−0.0029)x2+(0.0062r2−0.1212r−0.0907)x+(2.1759r2+15.588r+61.137)). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 70% or more relative to that of R410A, and a GWP of 350 or less, 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) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf in the refrigerant, and when r=R1234yf/(R1234ze+R1234yf), coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments KrLr, LrHr, HrGr, and GrKr that connect the following 4 points:


point Kr (72.0, 0.0, 28.0),


point Lr (−0.0618r2−0.0675r+48.612, 0.0618r2+0.0675r+18.088, 33.3),


point Hr (−0.4195r−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r=+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments KrLr, LrHr, and HrGr (excluding point Gr and point Kr), and


the line segments LrHr and GrKr are straight lines,


wherein


(2-1) if 0.27≥r>0.2,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003861r2−0.0002973r−0.011348)x+(−0.050193r2+0.038649r+1.1386)x+(1.583r2−1.2189r+4.8167)),


(2-2) if 0.64≥r>0.27,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, (0.0003861r, −0.0002973r−0.011348)x2+(−0.050193r2+0.038649r+1.1386)x+(1.583r2−1.2189r+4.8167)), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.011147r2−0.010278r−0.00111674)x+(−0.8771r+0.6728r−0.2371)x+(12.661r2+0.7382r+63.924)),


(2-3) if 1>r>0.64,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.01138x2+1.1428x+4.685), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r2−0.0006r−0.0029)x2+(0.0062r2−0.1212r−0.0907)x+(2.1759r2+15.588r+61.137)). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 70% or more relative to that of R410A, and a GWP of 125 or less, 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) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf in the refrigerant, and when r=R1234yf/(R1234ze+R1234yf),


(1) if 0.2≥r>0, coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments VrRr, RrSr, SrBr″, Br″Jr, JrIr, and IrVr that connect the following 6 points:


point Vr (−4.2328r2+14.847r+17.1, 14.815r2−26.963r+24.2, −10.5822r2+12.116r+58.7),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),


point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, −0.491r2−4.6129r+32.703),


point B″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895), and


point Ir (−13.5r+2.7, 36.5, 13.5r+60.8),


or on the line segments VrRr, RrSr, SrBr″, JrIr, and IrVr (excluding point Br″ and point Jr), and


the line segments VrRr, RrSr, SrBr″, Br″Jr, JrIr, and IrVr are straight lines,


(2) if 0.27≥r>0.2, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments VrRr, RrSr, SrBr″, Br″Jr, and JrVr that connect the following 5 points:


point Vr (−4.2328r2+14.847r+17.1, 14.815r−26.963r+24.2, −10.5822r2+12.116r+58.7),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),


point Sr (−0.3578r2+4.1741r+15.894, −0.1332r+0.4388r+51.403, 0.491r2−4.6129r+32.703),


point B″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165), and


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895), or on the line segments VrRr, RrSr, SrBr″, and JrVr (excluding point Br″ and point Jr), and


the line segments VrRr, RrSr, SrBr″, Br″Jr, and JrVr are straight lines,


(3) if 0.64≥r>0.27, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments VrQr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, and HrVr that connect the following 7 points:


point Vr (113.4r2−64.271r+29.887, −64.63r2+23.678r+16.318, −48.77r2+40.5931r+53.795),


point Qr (−6.2112r2+15.652r+17.027, 0.7554r2−0.1469r+17.985, 5.4558r2−15.5051r+64.988),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),


point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, 0.491r2−4.6129r+32.703),


point B″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r=−13.268r+39.105, −0.9705r2+13.268r+60.895), and


point Hr(−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701),


or on the line segments VrQr, QrRr, RrSr, SrBr″, JrHr, and HrVr (excluding point Br″, and point Jr), and


the line segments VrRr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, and HrVr are straight lines,


(4) if 1.0>r>0.64, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments OrPr, PrQr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, HrGr, and GrKr that connect the following 9 points:


point Or (−3.0864r2+15.617r+40.069, 0.0, 3.0864r2−15.617r+59.931),


point Pr (−6.1728r2+21.235r+24.138, 5.0, 6.1728r=−21.235r+70.862),


point Qr (8.8889r+18.811, 18.2, −8.8889r+62.989),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r=+0.1466r+36.581, 1.2925r2−8.0383r+47.33),


point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, 0.491r2−4.6129r+32.703),


point B″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments OrPr, PrQr, QrRr, RrSr, SrBr″, JrHr, and HrGr (excluding point Or, point Br″, point Jr, and point Gr),


the line segments QrRr, RrSr, SrBr″, Br″Jr, and JrHr are straight lines,


coordinates (x,y,z) of the points on the line segment OrPr are represented by (x, 100-x-z, (0.0077r2−0.014r−0.004)x2+(−0.7731r2+1.6132r−0.5209)x+(19.074r2−47.72r+87.771)),


coordinates (x,y,z) of the points on the line segment PrQr are represented by (x, 100-x-z, (−0.179r2+0.2997r−0.2085)x2+(11.347r2−17.461r+12.133)x+(−180.86r2+243.12r−107.55)), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r2−0.0006r−0.0029)x2+(0.0062r2−0.1212r−0.0907)x+(2.1759r−+15.588r+61.137)). When the requirements above are satisfied, the refrigerant according to the present disclosure has a refrigerating capacity ratio of 70% or more relative to that of R410A, and a GWP of 350 or less, and further ensures an ASHRAE lower flammability.


The refrigerant according to the present disclosure may further comprise other additional refrigerants in addition to HFO-1132 (E), R32, R1234ze, and R1234yf, 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), R32, and R1234ze 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. In another embodiment, the refrigerant according to the present disclosure preferably comprises HFO-1132(E), R32, R1234ze, and R1234yf 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 refrigerant 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, CHFCH2F)


HFC-152a (1,1-difluoroethane, CHF7CH3)


HFC-152 (1,2-difluoroethane, CH2FCH2F)


HFC-161 (fluoroethane, CH3CH2F)


HFC-245fa (1,1,1,3, 3-pentafluoropropane, CF3CH2CHF7)


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-pentafluoropropylamine 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 refrigeration oil-containing working fluid 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 the 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)), difluoromethane (R32), and 1,3,3,3-tetrafluoropropene (R1234ze)


Item 2.


The composition according to Item 1, wherein


when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MN, NB″, B″J, JI, IH, HG, and GK that connect the following 9 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point N (28.9, 51.6, 19.5),


point B″ (0.0, 51.4, 48.6),


point J (0.0, 39.1, 60.9),


point I (2.7, 36.5, 60.8),


point H (24.3, 18.0, 57.7), and


point G (50.9, 0.0, 49.1),


or on the line segments KL, LM, MN, NB″, JI, IH, and HG (excluding point B″, point J, point G, and point K),


the line segments LM, MN, NB″, B″J, JI, IH, and GK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2−0.0805x+61.433).


Item 3.


The composition according to Item 1, wherein


when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MI, IH, HG, and GK that connect the following 6 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point I (2.7, 36.5, 60.8),


point H (24.3, 18.0, 57.7), and


point G (50.9, 0.0, 49.1),


or on the line segments KL, LM, MI, IH, and HG (excluding point G and point K),


the line segments LM, MI, IH, and GK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2−0.0805x+61.433).


Item 4.


The composition according to Item 1, wherein


when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LH, HG, and GK that connect the following 4 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point H (24.3, 18.0, 57.7), and


point G (50.9, 0.0, 49.1),


or on the line segments KL, LH, and HG (excluding point G and point K),


the line segments LH and GK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2−0.0805x+61.433).


Item 5.


The composition according to Item 1, wherein


when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MN, NF, FE, ED, DC, and CK that connect the following 8 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point N (28.9, 51.6, 19.5),


point F (1.0, 51.5, 47.5),


point E (16.7, 36.5, 46.8),


point D (39.8, 18.1, 42.1), and


point C (67.6, 0.0, 32.4),


or on the line segments KL, LM, MN, NF, FE, ED, and DC (excluding point C and point K),


the line segments LM, MN, NF, FE, ED, and CK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x2−0.0739x+49.097).


Item 6.


The composition according to Item 1, wherein


when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, ME, ED, DC, and CK that connect the following 6 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point E (16.7, 36.5, 46.8),


point D (39.8, 18.1, 42.1), and


point C (67.6, 0.0, 32.4),


or on the line segments KL, LM, ME, ED, and DC (excluding point C and point K),


the line segments LM, ME, ED, and CK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x2−0.0739x+49.097).


Item 7.


The composition according to Item 1, wherein


when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LD, DC, and CK that connect the following 4 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point D (39.8, 18.1, 42.1), and


point C (67.6, 0.0, 32.4),


or on the line segments KL, LD, and DC (excluding point C and point K),


the line segments LD and CK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x2−0.0739x+49.097).


Item 8.


The composition according to Item 1, wherein


when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by straight lines VR, RS, SB″, B″J, JI, and IV that connect the following 6 points:


point V (17.1, 24.2, 58.7),


point R (16.1, 36.6, 47.3),


point S (15.9, 51.4, 32.7),


point B″ (0.0, 51.4, 48.6),


point J (0.0, 39.1, 60.9), and


point I (2.7, 36.5, 60.8),


or on the straight lines VR, RS, SB″, JI, and IV (excluding point B″ and point J).


Item 9.


The composition according to Item 1, wherein


when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by straight lines US, SF, and FU that connect the following 3 points:


point U (16.1, 37.1, 46.8),


point S (15.9, 51.4, 32.7), and


point F (1.0, 51.5, 47.5),


or on the straight lines US, SF, and FU.


Item 10.


The composition according to Item 1, wherein the refrigerant further comprises R1234yf.


Item 11.


The composition according to Item 10, wherein


when the mass % of HFO-1132(E) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf in the refrigerant, and when r=R1234yf/(R1234ze+R1234yf), (1) if 0.2≥r>0, coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments KrLr, LrMr, MrNr, NrBr″, Br″Jr, JrIr, IrHr, HrGr, and GrKr that connect the following 9 points:


point Kr (72.0, 0.0, 28.0),


point Lr (−0.0618r2−0.0675r+48.612, 0.0618r2+0.0675r+18.088, 33.3),


point Mr (−0.0618r2−0.0675r+35.712, 0.0618r2+0.0675r+36.688, 27.6),


point Nr (−0.0618r2−0.0675r+28.912, 0.0618r2+0.0675r+51.588, 19.5),


point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),


point Ir (−13.5r+2.7, 36.5, 13.5r+60.8),


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments KrLr, LrMr, MrNr, NrBr″, JrIr, IrHr, and HrGr (excluding point Br″, point Jr, point Gr, and point Kr),


the line segments LrMr, MrNr, NrBr″, Br″Jr, JrIr, IrHr, and GrKr are straight lines,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.00965r2−0.0024r−0.00319)x2+(−0.6153r2+0.0221r−0.0805)x+(11.593r2+10.251r+61.433)), (2) if 1>r>0.2, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments KrLr, LrMr, MrNr, NrBr″, Br″Jr, JrHr, HrGr, and GrKr that connect the following 8 points:


point Kr (72.0, 0.0, 28.0),


point Lr (−0.0618r2−0.0675r+48.612, 0.0618r2+0.0675r+18.088, 33.3),


point Mr (−0.0618r2−0.0675r+35.712, 0.0618r2+0.0675r+36.688, 27.6),


point Nr (−0.0618r2−0.0675r+28.912, 0.0618r2+0.0675r+51.588, 19.5),


point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments KrLr, LrMr, MrNr, NrBr″, JrHr, and HrGr (excluding point Br″, point Jr, point Gr, and point Kr), and


the line segments LrMr, MrNr, NrBr″, Br″Jr, JrHr, and GrKr are straight lines,


wherein


(2-1) if 0.27≥r>0.2,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, ((0.00965r2−0.0024r−0.00319)x2+(−0.6153r2+0.0221r−0.0805)x+(11.593r2+10.251r+61.433)), and


(2-2) if 0.64≥r>0.27,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, (0.0003861r2−0.0002973r−0.011348)x+(−0.050193r2+0.038649r+1.1386)x+(1.583r2−1.2189r+4.8167)), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.011147r=−0.010278r−0.00111674)x2+(−0.8771r2+0.6728r−0.2371)x+(12.661r2+0.7382r+63.924)), and


(3) if 1>r>0.64,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.01138x2+1.1428x+4.685), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r2−0.0006r−0.0029)x2+(0.0062r−0.1212r−0.0907)x+(2.1759r2+15.588r+61.137)).


Item 12.


The composition according to Item 10,


wherein


when the mass % of HFO-1132(E) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf in the refrigerant, and when r=R1234yf/(R1234ze+R1234yf), coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments KrLr, LrHr, HrGr, and GrKr that connect the following 4 points:


point Kr (72.0, 0.0, 28.0),


point Lr (−0.0618r−0.0675r+48.612, 0.0618r2+0.0675r+18.088, 33.3),


point Hr (−0.4195r2−12.988r+24.311, 0.0618r=+0.0675r+17.988, 0.3577r2+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments KrLr, LrHr, and HrGr (excluding point Gr and point Kr), and


the line segments LrHr and GrKr are straight lines,


wherein


(2-1) if 0.27≥r>0.2,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, ((0.00965r2−0.0024r−0.00319)x2+(−0.6153r2+0.0221r−0.0805)x+(11.593r2+10.251r+61.433)),


(2-2) if 0.64≥r>0.27,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, (0.0003861r2−0.0002973r−0.011348)x2+(−0.050193r2+0.038649r+1.1386)x+(1.583r2−1.2189r+4.8167)), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.011147r2−0.010278r−0.00111674) x2+(−0.8771r2+0.6728r−0.2371)x+(12.661r2+0.7382r+63.924)), and


(2-3) if 1>r>0.64,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.01138x2+1.1428x+4.685), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r2−0.0006r−0.0029) x2+(0.0062r2−0.1212r−0.0907) x+(2.1759r2+15 0.588r+61.137)).


Item 13.


The composition according to Item 10,


wherein


when the mass % of HFO-1132(E) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf in the refrigerant, and when r=R1234yf/(R1234ze+R1234yf),


(1) if 0.2≥r>0, coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments VrRr, RrSr, SrBr″, Br″Jr, JrIr, and IrVr that connect the following 6 points:


point Vr (−4.2328r2+14.847r+17.1, 14.815r2−26.963r+24.2, −10.5822r2+12.116r+58.7),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),


point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, −0.491r2−4.6129r+32.703),


point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r=−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895), and


point Ir (−13.5r+2.7, 36.5, 13.5r+60.8),


or on the line segments VrRr, RrSr, SrBr″, JrIr, and IrVr (excluding point Br″ and point Jr), and


the line segments VrRr, RrSr, SrBr″, Br″Jr, JrIr, and IrVr are straight lines,


(2) if 0.27≥r>0.2, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments VrRr, RrSr, SrBr″, Br″Jr, and JrVr that connect the following 5 points:


point Vr (−4.2328r2+14.847r+17.1, 14.815r2−26.963r+24.2, −10.5822r2+12.116r+58.7),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),


point Sr (−0.3578r2+4.1741r+15.894, −0.1332r+0.4388r+51.403, 0.491r2−4.6129r+32.703),


point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165), and


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895), or on the line segments VrRr, RrSr, SrBr″, and JrVr (excluding point Br″ and point Jr), and


the line segments VrRr, RrSr, SrBr″, Br″Jr, and JrVr are straight lines,


(3) if 0.64≥r>0.27, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments VrQr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, and HrVr that connect the following 7 points:


point Vr (113.4r2−64.271r+29.887, −64.63r2+23.678r+16.318, −48.77r2+40.5931r+53.795),


point Qr (−6.2112r2+15.652r+17.027, 0.7554r2−0.1469r+17.985, 5.4558r2−15.5051r+64.988),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),


point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, 0.491r2−4.6129r+32.703),


point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895), and


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701),


or on the line segments VrQr, QrRr, RrSr, SrBr″, JrHr, and HrVr (excluding point Br″ and point Jr), and


the line segments VrRr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, and HrVr are straight lines, and


(4) if 1.0>r>0.64, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments OrPr, PrQr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, HrGr, and GrKr that connect the following 9 points:


point Or (−3.0864r2+15.617r+40.069, 0.0, 3.0864r2−15.617r+59.931),


point Pr (−6.1728r2+21.235r+24.138, 5.0, 6.1728r=−21.235r+70.862),


point Qr (8.8889r+18.811, 18.2, −8.8889r+62.989),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r=+0.1466r+36.581, 1.2925r2−8.0383r+47.33),


point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, 0.491r2−4.6129r+32.703),


point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments OrPr, PrQr, QrRr, RrSr, SrBr″, JrHr, and HrGr (excluding point Or, point Br″, point Jr, and point Gr),


the line segments QrRr, RrSr, SrBr″, Br″Jr, and JrHr are straight lines,


coordinates (x,y,z) of the points on the line segment OrPr are represented by (x, 100-x-z, (0.0077r2−0.014r−0.004)x2+(−0.7731r2+1.6132r−0.5209)x+(19.074r2−47.72r+87.771)),


coordinates (x,y,z) of the points on the line segment PrQr are represented by (x, 100-x-z, (−0.179r2+0.2997r−0.2085)x2+(11.347r2−17.461r+12.133)x+(−180.86r2+243.12r−107.55)), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r2−0.0006r−0.0029)x2+(0.0062r2−0.1212r−0.0907)x+(2.1759r2+15.588r+61.137)).


Item 14.


The composition according to any one of Items 1 to 13, for use as a working fluid for a refrigerating machine, wherein the composition further comprises a refrigeration oil.


Item 15.


The composition according to any one of Items 1 to 14, for use as an alternative refrigerant for R410A.


Item 16.


Use of the composition according to any one of Items 1 to 14 as an alternative refrigerant for R410A.


Item 17.


A refrigerating machine comprising the composition according to any one of Items 1 to 14 as a working fluid.


Item 18.


A method for operating a refrigerating machine, comprising the step of circulating the composition according to any one of Items 1 to 14 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.


Example A

Mixed refrigerants were prepared by mixing HFO-1132(E), R32, R1234ze, and CO2 at a mass % based on their sum as shown in Tables 1 to 5.


The GWP of R410A (R32=50%/R125=50%) and the mixed refrigerants 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 R410A and the mixed refrigerants 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%


Table 1 shows 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 Ex 2
Com Ex 3
Com Ex 4
Com Ex 5
Com Ex 6
Com Ex 7
Com Ex 8


Item
Unit
Com Ex 1
A
B
A′
B′
A″
B″
C





HFO-1132 (E)
mass %
R410A
81.6
06
63.1
0.0
48.2
0.0
67.6


R32
mass %

18.4
17.8
36.9
36.5
51.8
51.4
0.0


R1234ze
mass %

0.0
82.2
0.0
63.5
0.0
48.6
32.4


GWP

2088
125
125
250
250
350
350
3


COP ratio
% (relative to R410A)
100
58.7
107.8
98.7
106.2
99.2
104.6
101.4


Refrigerating
% (relative to R410A)
100
106.3
52.1
109.9
68.0
112.1
79.2
80.0


capacity ratio







Example 1
Example 2
Example 3
Example 4
Example 5
Com Ex 9
Example 6
Example 7


Item
Unit
C′
D
E
U
F
G
G′
H





HFO-1132 (E)
mass %
51.5
39.8
16.7
16.1
1.0
50.9
35.4
24.3


R32
mass %
10.0
18.1
36.5
37.1
51.5
0.0
10.0
18.0


R1234ze
mass %
38.5
42.1
46.8
46.8
47.5
49.1
54.6
57.7


GWP

70
125
250
253
350
3
71
125


COP ratio
% (relative to R410A)
101.8
102.3
103.5
103.6
104.5
103.2
103.9
104.6


Refrigerating
% (relative to R410A)
80.0
80.0
80.0
80.0
80.0
70.0
70.0
70.0


capacity ratio







Example 8
Example 9
Com Ex 10
Com Ex 11
Example 10
Example 11
Example 12
Example 13


Item
Unit
V
I
J
K
K′
L
M
N





HFO-1132 (E)
mass %
17.1
2.7
0.0
72.0
57.2
48.6
35.7
28.9


R32
mass %
24.2
36.5
39.1
0.0
10.0
18.1
36.7
51.6


R1234ze
mass %
58.7
60.8
60.9
28.0
32.8
33.3
27.6
19.5


GWP

167
250
268
4
70
125
250
350


COP ratio
% (relative to R410A)
104.9
105.7
105.9
101.1
101.2
101.2
101.0
100.9


Refrigerating
% (relative to R410A)
70.4
70.0
70.0
82.6
83.4
85.5
92.8
99.7


capacity ratio







Com Ex 12
Com Ex 13
Com Ex 14
Com Ex15
Com Ex 16
Example 14
Example 15



Item
Unit
O
O′
P
P′
Q
R
S





HFO-1132 (E)
mass %
38.4
30.3
25.4
20.4
17.6
16.1
15.9



R32
mass %
0.0
2.5
5.0
10.0
17.9
36.6
51.4



R1234ze
mass %
61.6
67.2
69.6
69.6
64.5
47.3
32.7



GWP

4
21
38
72
125
250
350



COP ratio
% (relative to R410A)
104.8
105.6
106.0
106.1
105.6
103.6
102.4



Refrigerating
% (relative to R410A)
62.2
59.5
58.6
60.1
65.4
79.7
90.6



capacity ratio









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.


Table 2 shows the results.















TABLE 2







Item
Unit
K
K′
L
M
L

















WCF
HFO-1132 (E)
mass %
72.0
57.2
48.6
35.7
28.9



R32
mass %
0.0
10.0
18.1
36.7
51.6



R1234ze
mass %
28.0
32.8
33.3
27.6
19.5













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


















Item
Unit
O
O′
P
P′
Q
R
S



















WCF
HFO-1132 (E)
mass %
38.4
30.3
25.4
20.4
17.6
16.1
15.9



R32
mass %
0.0
2.5
5.0
10.0
17.9
36.6
51.4



R1234ze
mass %
61.6
67.2
69.6
69.6
64.5
47.3
32.7














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



and
and
and
and
and
and
and



transport
transport
transport
transport
transport
transport
transport



at 34.8° C.
at 34.1° C.
at 33.9° C.
at 34.7° C.
at 36.6° C.
at 39.7° C.
at 40.0° C.



and 0%
and 0%
and 0%
and 0%
and 0%
and 0%
and 0%



release.
release.
release.
release.
release.
release.
release.



gas phase
gas phase
gas phase
gas phase
gas phase
gas phase
gas phase



side
side
side
side
side
side
side
















WCFF
HFO-1132 (E)
mass %
72.0
62.2
54.5
44.2
35.8
27.8
25.0



R32
mass %
0.0
6.1
12.3
23.4
36.4
54.4
63.2



R1234ze
mass %
28.0
31.7
33.2
32.4
27.8
17.8
11.8















Burning velocity (WCF)
cm/s
5 or less
5 or less
5 or less
5 or less
5 or less
5.2
6.5


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









The results indicate that a mixed refrigerant has a refrigerating capacity ratio of 70%- or more relative to that of R410A, and a GWP of 350 or less, and further ensures a WCF lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the mixed refrigerant is respectively represented by x, y, and z, coordinates (x, y, z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MN, NB″, B″J, JI, IH, HG, and GK that connect the following 9 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point N (28.9, 51.6, 19.5),


point B″ (0.0, 51.4, 48.6),


point J (0.0, 39.1, 60.9),


point I (2.7, 36.5, 60.8),


point H (24.3, 18.0, 57.7), and


point G (50.9, 0.0, 49.1),


or on the line segments KL, LM, MN, NB″, JI, IH, and HG (excluding point B″, point J, point G, and point K),


the line segments LM, MN, NB″, B″J, JI, IH, and GK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2−0.0805x+61.433),


The results also indicate that a mixed refrigerant has a refrigerating capacity ratio of 70% or more relative to that of R410A, and a GWP of 250 or less, and further ensures a WCF lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the mixed refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MI, IH, HG, and GK that connect the following 6 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point I (2.7, 36.5, 60.8),


point H (24.3, 18.0, 57.7), and


point G (50.9, 0.0, 49.1),


or on the line segments KL, LM, MI, IH, and HG (excluding point G and point K),


the line segments LM, MI, IH, and GK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2−0.0805x+61.433).


The results also indicate that a mixed refrigerant has a refrigerating capacity ratio of 70% or more relative to that of R410A, and a GWP of 125 or less, and further ensures a WCF lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the mixed refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LH, HG, and GK that connect the following 4 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point H (24.3, 18.0, 57.7), and


point G (50.9, 0.0, 49.1),


or on the line segments KL, LH, and HG (excluding point G and point K),


the line segments LH and GK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2−0.0805x+61.433).


The results also indicate that a mixed refrigerant has a refrigerating capacity ratio of 80% or more relative to that of R410A, and a GWP of 350 or less, and further ensures a WCF lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the mixed refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MN, NF, FE, ED, DC, and CK that connect the following 8 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point N (28.9, 51.6, 19.5),


point F (1.0, 51.5, 47.5),


point E (16.7, 36.5, 46.8),


point D (39.8, 18.1, 42.1), and


point C (67.6, 0.0, 32.4),


or on the line segments KL, LM, MN, NF, FE, ED, and DC (excluding point C and point K),


the line segments LM, MN, NF, FE, ED, and CK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x2−0.0739x+49.097).


The results also indicate that a mixed refrigerant has a refrigerating capacity ratio of 80% or more relative to that of R410A, and a GWP of 250 or less, and further ensures a WCF lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the mixed refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, ME, ED, DC, and CK that connect the following 6 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point M (35.7, 36.7, 27.6),


point E (16.7, 36.5, 46.8),


point D (39.8, 18.1, 42.1), and


point C (67.6, 0.0, 32.4),


or on the line segments KL, LM, ME, ED, and DC (excluding point C and point K),


the line segments LM, ME, ED, and CK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x2−0.0739x+49.097).


The results also indicate that a mixed refrigerant has a refrigerating capacity ratio of 80% or more relative to that of R410A, and a GWP of 125 or less, and further ensures a WCF lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the mixed refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LD, DC, and CK that connect the following 4 points:


point K (72.0, 0.0, 28.0),


point L (48.6, 18.1, 33.3),


point D (39.8, 18.1, 42.1), and


point C (67.6, 0.0, 32.4),


or on the line segments KL, LD, and DC (excluding point C and point K),


the line segments LD and CK are straight lines,


coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x−2.1454x+95.397, −0.0114x2+1.1454x+4.603), and


coordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x2−0.0739x+49.097).


The results also indicate that a mixed refrigerant has a refrigerating capacity ratio of 70% or more relative to that of R410A, and has ASHRAE lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the mixed refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by straight lines VR, RS, SB″, B″J, JI, and IV that connect the following 6 points:


point V (17.1, 24.2, 58.7),


point R (16.1, 36.6, 47.3),


point S (15.9, 51.4, 32.7),


point B″ (0.0, 51.4, 48.6),


point J (0.0, 39.1, 60.9), and


point I (2.7, 36.5, 60.8),


or on the straight lines VR, RS, SB″, JI, and IV (excluding point B″ and point J).


The results also indicate that a mixed refrigerant has a refrigerating capacity ratio of 80% or more relative to that of R410A, and has ASHRAE lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the mixed refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by straight lines US, SF, and FU that connect the following 3 points:


point U (16.1, 37.1, 46.8),


point S (15.9, 51.4, 32.7), and


point F (1.0, 51.5, 47.5),


or on the straight lines US, SF, and FU.


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



















TABLE 3







Item
Unit
C
C′
D
G
G′
H
K
K′
L





HFO-1132 (E)
mass %
67.6
51.5
39.8
50.9
35.4
24.3
72.0
57.2
48.6


R32
mass %
0.0
10.0
18.1
0.0
10.0
18.1
0.0
10.0
18.1


R1234ze
mass %
32.4
38.5
42.1
49.1
54.6
57.6
28.0
32.8
33.3










x = HFO-1132 (E)
x
x
x


R32 approximate expression
0.00257x2 − 0.9261x + 50.903
0.00319x2 − 0.9195x + 38.567
0.0114x2 − 2.1454x + 95.397


R1234ze approximate expression
−0.00257x2 − 0.0739x 49.097
−0.0031.9x2 − 0.0305x + 61.433
−0.0114x2 + 1.1454x + 4.603


















Item
Unit
O
O′
P
P
P′
Q






HFO-1132 (E)
mass %
38.4
30.3
25.4
25.4
20.4
17.6



R32
mass %
0.0
2.5
5.0
5.0
10.0
17.9



R1234ze
mass %
61.6
67.2
69.6
69.6
69.6
64.5











x = HFO-1132 (E)
x
x



R32 approximate expression
0.0155x2 − 1.3738x + 29.892
0.2335x2 − 11.695x + 151.4



R1234ze approximate expression
−0.0155x2 + 0.3738x + 70.108
−0.2335x2 + 10.695x2 − 51.4









Example B

Mixed refrigerants were prepared so that the mass % of HFO-1132(E), the mass % of R32, the mass % of R1234ze, and the mass % of the sum of R1234ze and R1234yf, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf were as shown in Tables 4 to 9. Then, evaluation was performed in the same manner as in Example A. Tables 4 to 9 also show the results. r represents R1234yf/(R1234ze+R1234yf).


















TABLE 4










Com Ex 17
Com Ex 18
Com Ex 19
Com Ex 20
Example 16
Example 17
Example 18


Item
Unit
Com Ex 1
Br=0.2
B′r=0.2
B″r=0.2
Gr=0.2
G′r=0.2
Hr=0.2
Vr=0.2





HFO-1132 (E)
mass %
R410A
0.0
0.0
0.0
48.7
32.9
21.8
19.9


R32
mass %

17.9
36.5
51.5
0.0
10.0
18.0
19.4


R1234(ze + yf)
mass %

82.1
63.5
48.5
51.3
57.1
60.2
60.7


GWP

2088
125
250
350
3
71
125
135


COP ratio
% (relative to R410A)
100
107.0
105.3
104.1
102.9
103.6
104.2
104.3


Refrigerating
% (relative to R410A)
100
54.4
70.0
80.9
70.0
70.0
70.0
70.0


capacity ratio







Com Ex 21
Com Ex 22
Example 19
Example 20
Example 21
Example 22
Com Ex 23
Com Ex 24


Item
Unit
Jr=0.2
Kr=0.2
K′r=0.2
Lr=0.2
Mr=0.2
Nr=0.2
Or=0.2
O′r=0.2





HFO-1132 (E)
mass %
0.0
72.0
57.2
48.6
35.7
28.9
42.3
34.3


R32
mass %
36.5
0.0
10.0
18.1
36.7
51.6
0.0
2.5


R1234(ze + yf)
mass %
63.5
28.0
32.8
33.3
27.6
19.5
57.7
63.2


GWP

250
2
70
125
250
350
4
21


COP ratio
% (relative to R410A)
105.3
100.9
100.8
100.8
100.7
100.8
103.6
104.3


Refrigerating
% (relative to R410A)
70.0
83.4
84.5
86.6
93.8
100.4
66.1
63.7


capacity ratio







Com Ex 25
Com Ex 26
Com Ex 27
Example 23
Example 24





Item
Unit
Pr=0.2
P′r=0.2
Qr=0.2
Rr=0.2
Sr=0.2





HFO-1132 (E)
mass %
29.1
23.5
20.1
17.6
16.7





R32
mass %
5.0
10.0
18.0
36.6
51.5





R1234(ze + yf)
mass %
65.9
66.5
61.9
45.8
31.8





GWP

38
71
125
250
350





COP ratio
% (relative to R410A)
104.7
104.8
104.4
102.8
102.0





Refrigerating
% (relative to R410A)
62.8
64.0
68.9
82.2
92.5





capacity ratio

























TABLE 5















Example 26











Hr=0.27






Com Ex 26
Com Ex 29
Com Ex 30
Com Ex 31
Example 25
Qr=0.27
Example 27


Item
Unit
Com Ex 1
Br=0.27
B′r=0.27
B″r=0.27
Gr=0.27
G′r=0.27
Vr=0.27
Jr=0.27





HFO-1132 (E)
mass %
R410A
0.0
0.0
0.0
47.9
32.0
20.8
0.0


R32
mass %

17.9
36.5
51.5
0.0
10.0
18.0
35.7


R1234(ze + yf)
mass %

82.1
63.5
48.5
52.1
58.0
61.2
64.3


GWP

2000
125
250
350
3
71
125
244


COP ratio
% (relative
100
106.7
105.1
103.9
102.7
103.4
104.0
105.1



to R410A)










Refrigerating
% (relative
100
55.2
70.6
81.5
70.0
70.0
70.0
70.0


capacity ratio
to R410A)







Com Ex 32
Example 28
Example 29
Example 30
Example 31
Com Ex 33
Com Ex 34
Com Ex 35


Item
Unit
Kr=0.27
K′r=0.27
Lr=0.27
Mr=0.27
Nr=0.27
Or=0.27
O′r=0.27
Pr=0.27





HFO-1132 (E)
mass %
72.0
57.2
48.6
35.7
28.9
43.5
35.5
30.2


R32
mass %
0.5
10.0
18.1
36.7
51.6
0.0
2.5
5.0


R1234(ze + yf)
mass %
28.0
32.8
33.3
27.6
19.5
56.5
62.0
64.8


GWP

2
70
125
250
350
4
21
38


COP ratio
% (relative
100.8
100.7
100.7
100.6
100.7
103.2
103.9
104.2



to R410A)










Refrigerating
% (relative
83.7
84.8
87.0
94.1
100.7
67.4
65.0
64.1


capacity ratio
to R410A)







Com Ex 36
Example 32
Example 33







Item
Unit
P′r=0.27
Rr=0.27
Sr=0.27





HFO-1132 (E)
mass %
24.5
18.1
17.0







R32
mass %
10.0
36.6
51.5







R1234(ze + yf)
mass %
65.5
45.3
31.5







GWP

71
250
350







COP ratio
% (relative
104.4
102.6
101.9








to R410A)










Refrigerating
% (relative
65.2
83.1
83.1







capacity ratio
to R410A)

























TABLE 6










Com Ex 38
Com Ex 39
Com Ex 40
Com Ex 41
Example 34
Example 35
Example 36


Item
Unit
Com Ex 1
Br=0.5
B′r=0.5
B″r=0.5
Gr=0.5
G″r=0.5
Vr=0.5
Hr=0.5





HFO-1132 (E)
mass %
R410A
0.0
0.0
0.0
45.3
29.0
26.1
17.7


R32
mass %

17.9
36.5
51.5
0.0
10.0
12.0
18.0


R1234(ze + yf)
mass %

82.1
63.5
48.5
54.7
61.0
61.9
64.3


GWP

2088
125
250
350
3
71
84
12.5


COP ratio
% (relative to R410A)
100
105.7
104.2
103.3
102.3
103.0
103.0
103.5


Refrigerating
% (relative to R410A)
100
57.6
72.8
83.4
70.0
70.0
70.0
70.0


capacity ratio







Com Ex 42
Com Ex 43
Example 37
Example 38
Example 39
Example 40
Com Ex 44
Com Ex 45


Item
Unit
Jr=0.5
kr=0.5
K′r=0.5
Lr=0.5
Mr=0.5
Nr=0.5
Or=0.5
O′r=0.5





HFO-1132 (E)
mass %
0.0
72.0
57.2
48.6
35.7
28.9
47.0
38.9


R32
mass %
32.8
0.0
10.0
18.1
36.7
51.6
0.0
2.5


R1234(ze + yf)
mass %
67.2
28.0
32.8
33.3
27.6
19.5
53.0
58.6


GWP

225
2
70
125
250
350
3
20


COP ratio
% (relative to R410A)
104.5
100.5
100.3
100.3
100.3
100.5
102.2
102.7


Refrigerating
% (relative to R410A)
70.0
84.5
86.0
88.2
95.3
101.5
71.0
68.8


capacity ratio







Com Ex 46
Com Ex 47
Example 41
Example 42
Example 43





Item
Unit
Pr=0.5
P′r=0.5
Qr=0.2
Rr=0.5
Sr=0.5





HFO-1132 (E)
mass %
33.6
27.4
23.3
19.7
17.9





R32
mass %
5.0
10.0
18.1
36.7
51.6





R1234(ze + yf)
mass %
61.4
62.6
58.6
43.6
30.5





GWP

37
71
125
250
350





COP ratio
% (relative to R410A)
103.0
103.2
102.8
101.8
101.5





Refrigerating
% (relative to R410A)
38.0
69.0
73.6
85.8
95.0





capacity ratio

























TABLE 7










Com Ex 48
Com Ex 49
Com Ex 50
Com Ex 51
Example 44
Example 45
Com Ex 52


Item
Unit
Com Ex 1
Br=0.64
B′r=0.64
B″r=0.64
Gr=0.64
G′r=0.64
Hr=0.64
Jr=0.64





HFO-1132 (E)
mass %
R410A
0.0
0.0
0.0
43.7
27.3
15.8
0.0


R32
mass %

37.9
36.7
51.5
0.0
10.0
18.1
31.0


R1234(ze + yf)
mass %

82.1
63.4
48.5
56.3
62.7
86.1
69.0


GWP

2088
125
250
350
3
71
125
213


COP ratio
% (relative
100
305.1
103.6
103.0
102.1
102.7
103.2
104.1



to R410A)










Refrigerating
% (relative
100
59.0
74.2
84.5
70.0
70.0
70.0
70.0


capacity ratio
to R410A)














Example 50




Com Ex 53
Example 46
Example 47
Example 48
Example 49
Com Ex 54
Com Ex 55
Pr=0.64


Item
Unit
Kr=0.64
K′r=0.64
Lr=0.64
Mr=0.64
Nr=0.64
Or=0.64
O′r=0.64
Vr=0.64





HFO-1132 (E)
mass %
72.0
57.2
48.5
35.6
28.8
48.8
40.8
35.2


R32
mass %
0.0
10.0
15.2
36.8
51.7
0.0
2.5
5.0


R1234(ze + yf)
mass %
28.9
32.8
33.3
27.6
19.5
51.2
56.7
59.8


GWP

2
70
125
250
350
3
20
37


COP ratio
% (relative
300.3
100.3
100.0
100.1
100.4
101.7
102.1
102.3



to R410A)










Refrigerating
% (relative
85.2
86.7
89.0
96.0
102.0
72.9
70.9
70.0


capacity ratio
to R410A)







Example 51
Example 52
Example 53
Example 54






Item
Unit
P′r=0.64
Qr=0.64
Rr=0.64
Sr=0.64





HFO-1132 (E)
mass %
29.2
24.5
20.6
18.4






R32
mass %
10.0
15.2
36.7
51.6






R1234(ze + yf)
mass %
60.8
57.3
42.7
30.9






GWP

71
126
101
350






COP ratio
% (relative
102.5
102.2
87.4
101.2







to R410A)










Refrigerating
% (relative
71.2
75.0
87.5
96.1






capacity ratio
to R410A)

























TABLE 8










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


Item
Unit
Com Ex 1
Br=0.82
B′r=0.82
B″r=0.82
Gr=0.82
G″r=0.82
Hr=0.82
Jr=0.82





HFO-1132 (E)
mass %
R410A
0.0
0.0
0.0
41.6
25.0
13.4
0.0


R32
mass %

17.9
36.6
51.5
0.0
10.0
18.1
28.8


R1234(ze + yf)
mass %

82.1
63.4
48.5
58.4
65.0
68.5
71.2


GWP

2088
125
250
350
3
171
125
198


COP ratio
% (relative
100
103.3
103.0
102.0
101.7
102.3
102.8
103.5



to R410A)










Refrigerating
% (relative
100
60.7
75.9
86.0
70.0
70.0
70.0
70.0


capacity ratio
to R410A)







Com Ex 61
Example 57
Example 58
Example 59
Example 60
Com Ex 62
Example 61
Example 62


Item
Unit
Kr=0.82
K′r=0.82
Lr=0.82
Mr=0.82
Nr=0.82
Or=0.82
O′r=0.82
Pr=0.82





HFO-1132 (E)
mass %
72.0
57.2
48.5
35.6
28.5
50.8
42.9
37.4


R32
mass %
0.0
10.0
18.2
36.8
51.7
0.0
2.5
5.0


R1234(ze + yf)
mass %
28.0
32.8
33.3
27.6
19.5
49.2
64.6
57.6


GWP

2
70
125
250
350
3
20
9


COP ratio
% (relative
100.1
99.8
99.7
99.9
100.3
101.1
101.4
101.6



to R410A)










Refrigerating
% (relative
85.9
87.5
89.9
96.8
102.6
75.1
73.3
72.6


capacity ratio
to R410A)







Example 63
Example 64
Example 65
Example 66






Item
Unit
P′r=0.82
Qr=0.82
Rr=0.82
Sr=0.82





HFO-1132 (E)
mass %
30.9
26.1
21.6
19.1






R32
mass %
10.0
18.2
36.8
51.7






R1234(ze + yf)
mass %
59.1
55.7
41.6
29.2






GWP

70
126
250
350






COP ratio
% (relative
101.7
101.4
100.9
100 9







to R410A)










Refrigerating
% (relative
73.5
77.8
89.3
97.4






capacity ratio
to R410A)

























TABLE 9










Com Ex 62
Com Ex 63
Com Ex 64
Com Ex 65
Com Ex 66
Com Ex 67
Com Ex 68


Item
Unit
Com Ex 1
Br=1
B′r=1
B″r=1
Gr=1
G′r=1
Hr=1
Jr=1





HFO-1132 (E)
mass %
R410A
0.0
0.0
0.0
39.6
22.8
10.9
0.0


R32
mass %

18.0
36.6
51.5
0.0
10.0
18.1
26.8


R1234 (ze + yf)
mass %

82.0
69.4
48.5
60.4
67.2
71.0
73.2


GWP

2088
125
250
350
3
70
125
184


COP ratio
% (relative
100
103.6
102.3
102.2
101.4
101.8
102.4
102.9



to R410A)










Refrigerating
% (relative
100
62.4
77.4
87.3
70.0
70.0
70.0
70.0


capacity ratio
to R410A)







Com Ex 69
Com Ex 70
Com Ex 71
Com Ex 72
Com Ex 73
Com Ex 74
Com Ex 75
Com Ex 76


Item
Unit
Kr=1
K′r=1
Lr=1
Mr=1
Nr=1
Or=1
O′r=1
Pr=1





HFO-1132 (E)
mass %
72.0
57.2
43.5
35.6
28.8
52.6
44.7
39.2


R32
mass %
0.0
10.0
18.2
36.8
51.7
0.0
2.0
5.0


R1234 (ze + yf)
mass %
28.0
32.8
33.3
27.6
19.5
47.4
52.8
55.8


GWP

2
69
125
250
350
2
19
36


COP ratio
% (relative
99.9
99.5
99.4
99.6
100.1
100.5
100.7
100.9



to R410A)










Refrigerating
% (relative
86.6
88.4
90.8
97.7
103.2
77.1
75.3
74.8


capacity ratio
to R410A)







Com Ex 77
Com Ex 78
Com Ex 79
Com Ex 80






Item
Unit
P′r=1
Qr=1
Rr=1
Sr=1





HFO-1132 (E)
mass %
32.4
27.7
22.6
19.7






R32
mass %
10.0
18.2
38.5
51.7






R1234 (ze + yf)
mass %
57.6
54.1
40.6
28.6






GWP

70
125
250
350






COP ratio
% (relative
100.9
100.7
100.4
100.7







to R410A)










Refrigerating
% (relative
75.6
80.0
91.0
98.7






capacity ratio
to R410A)









These mixed refrigerants were subjected to the burning velocity test in the same manner as in Example A. Tables 10 to 15 show the results.

















TABLE 10







Item
Unit
Kr=0.2
K′r=0.2
Lr=0.2
Mr=0.2
Lr=0.2





















WCF
HFO-1132 (E)
mass %
72.0
57.2
48.6
36.7
28.9





R32
mass %
0.0
10.0
18.1
36.7
51.6





R1234 (ze + yf)
mass %
28.0
32.8
33.3
27.6
19.5

















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







Item
Unit
Or=0.2
O′r=0.2
Pr=0.2
P′r=0.2
Qr=0.2
Rr=0.2
Sr=0.2



















WCF
HFO-1132 (E)
mass %
42.3
34.3
29.1
23.5
20.1
17.6
16.7



R32
mass %
0.0
2.5
5.0
10.0
18.0
36.6
51.5



R1234 (ze + yf)
mass %
57.7
63.2
65.9
66.5
61.9
45.8
31.8














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



and
and
and
and
and
and
and



transport
transport
transport
transport
transport
transport
transport



at 36.1° C.
at 35.6° C.
at 35.6° C.
at 36.2° C.
at 37.7° C.
at 40.0° C.
at 40.0° C.



and 0%
and 0%
and 0%
and 0%
and 0%
and 0%
and 0%



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



gas phase
gas phase
gas phase
gas phase
gas phase
gas phase
gas phase



side
side
side
side
side
side
side
















WCFF
HFO-1132 (E)
mass %
72.0
62.8
55.6
45.6
37.2
28.7
25.4



R32
mass %
0.0
5.7
11.3
21.6
34.0
51.9
61.5



R1234ze
mass %
19.6
22.0
23.0
22.7
19.8
13.3
9.0



R1234yf
mass %
8.4
9.5
10.1
10.1
9.0
6.1
4.1















Burning velocity (WCF)
cm/s
5 or less
5 or less
5 or less
5 or less
5 or less
6.4
6.7


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
























TABLE 11







Item
Unit
Kr=0.27
K′r=0.27
Lr=0.27
Mr=0.27
Lr=0.27





















WCF
HFO-1132 (E)
mass %
72.0
57.2
48.6
35.7
28.9





R32
mass %
0.0
10.0
18.1
36.7
51.6





R1234 (ze + yf)
mass %
28.0
32.8
33.3
27.6
19.5

















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





















Item

Unit
Or=0.27
O′r=0.27
Pr=0.27
P′r=0.27
Qr=0.27
Rr=0.27
Sr=0.27





WCF
HFO-1132 (E)
mass %
43.5
35.5
30.2
24.5
20.8
18.1
17.0



R32
mass %
0.0
2.5
5.0
10.0
18.0
36.6
51.5



R1234 (ze + yf)
mass %
56.5
62.0
64.8
65.5
61.2
45.3
31.5














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



and
and
and
and
and
and
and



transport
transport
transport
transport
transport
transport
transport



at 36.5° C.
at 36.1° C.
at 36.0° C.
at 36.6° C.
at −38° C.
at 40.0° C.
at 40.0° C.



and 0%
and 0%
and 0%
and 0%
and 0%
and 0%
and 0%



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



gas phase
gas phase
gas phase
gas phase
gas phase
gas phase
gas phase



side
side
side
side
side
side
side
















WCFF
HFO-1132 (E)
mass %
72.0
63.0
55.8
46.0
37.5
29.0
25.6



R32
mass %
0.0
5.6
11.1
21.1
33.3
51.2
60.9



R1234ze
mass %
17.1
19.2
20.2
19.9
17.6
11.9
8.1



R1234yf
mass %
10.9
12.2
12.9
13.0
11.6
7.9
5.4















Burning velocity (WCF)
cm/s
5 or less
5 or less
5 or less
5 or less
5 or less
5.6
6.8


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
























TABLE 12







Item
Unit
Kr=0.5
K′r=0.5
Lr=0.5
Mr=0.5
Lr=0.5





















WCF
HFO-1132 (E)
mass %
72.0
57.2
48.5
35.6
28.8





R32
mass %
0.0
10.0
18.2
36.8
51.7





R1234 (ze + yf)
mass %
28.0
32.8
33.3
27.6
19.5

















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







Item
Unit
Or=0.5
O′r=0.5
Pr=0.5
P′r=0.5
Qr=0.5
Rr=0.5
Sr=0.5



















WCF
HFO-1132 (E)
mass %
47.0
38.9
33.6
27.4
23.3
19.7
17.9



R32
mass %
0.0
2.5
5.0
10.0
18.1
36.7
51.6



R1234 (ze + yf)
mass %
53.0
58.6
61.4
62.6
58.6
43.6
30.5














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



and
and
and
and
and
and
and



transport
transport
transport
transport
transport
transport
transport



at 37.6° C.
at 37.3° C.
at 37.3° C.
at 37.3° C.
at 39.0° C.
at 40.0° C.
at 40.0° C.



and 0%
and 0%
and 0%
and 0%
and 0%
and 0%
and 0%



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



gas phase
gas phase
gas phase
gas phase
gas phase
gas phase
gas phase



side
side
side
side
side
side
side
















WCFF
HFO-1132 (E)
mass %
72.0
63.4
56.6
47.1
38.7
29.9
26.1



R32
mass %
0.0
5.2
10.4
19.8
31.5
49.0
59.3



R1234ze
mass %
10.5
11.7
12.3
12.2
10.9
7.6
5.3



R1234yf
mass %
17.5
19.7
20.7
20.9
18.9
13.5
9.3















Burning velocity (WCF)
cm/s
5 or less
5 or less
5 or less
5 or less
5 or less
6.0
7.0


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
























TABLE 13







Item
Unit
Kr=0.64
K′r=0.64
Lr=0.64
Mr=0.64
Lr=0.64





















WCF
HFO-1132 (E)
mass %
72.0
57.2
48.5
35.6
28.8





R32
mass %
0.0
10.0
18.2
36.8
51.7





R1234 (ze + yf)
mass %
28.0
32.8
33.3
27.6
19.5

















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







Item
Unit
Or=0.64
O′r=0.64
Pr=0.64
P′r=0.64
Qr=0.64
Rr=0.64
Sr=0.64



















WCF
HFO-1132 (E)
mass %
48.8
40.8
35.2
29.1
24.5
20.6
18.4



R32
mass %
0.0
2.5
5.0
10.0
18.2
36.7
51.6



R1234 (ze + yf)
mass %
51.2
56.7
59.8
60.9
57.3
42.7
30.0














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



and
and
and
and
and
and
and



transport
transport
transport
transport
transport
transport
transport



at 38.2° C.
at 38.0° C.
at 37.9° C.
at 38.5° C.
at 39.5° C.
at 40.0° C.
at 40.0° C.



and 0%
and 0%
and 0%
and 0%
and 0%
and 0%
and 0%



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



gas phase
gas phase
gas phase
gas phase
gas phase
gas phase
gas phase



side
side
side
side
side
side
side
















WCFF
HFO-1132 (E)
mass %
72.0
63.7
56.9
47.7
39.1
30.4
26.4



R32
mass %
0.0
5.1
10.1
19.2
30.7
47.9
58.4



R1234ze
mass %
7.1
7.9
8.3
8.3
7.5
5.3
3.7



R1234yf
mass %
20.9
23.3
24.7
24.8
22.7
16.4
11.5















Burning velocity (WCF)
cm/s
5 or less
5 or less
5 or less
5 or less
5 or less
6.2
7.1


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
























TABLE 14







Item
Unit
Kr=0.82
K′r=0.82
Lr=0.82
Mr=0.82
Lr=0.82





















WCF
HFO-1132 (E)
mass %
72.0
57.2
48.5
35.6
28.8





R32
mass %
0.0
10.0
18.2
36.8
51.7





R1234 (ze + yf)
mass %
28.0
32.8
33.3
27.6
19.5

















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







Item
Unit
Or=0.82
O′r=0.82
Pr=0.82
P′r=0.82
Qr=0.82
Rr=0.82
Sr=0.82



















WCF
HFO-1132 (E)
mass %
50.8
42.9
37.4
30.9
26.1
21.6
19.1



R32
mass %
0.0
2.5
5.0
10.0
18.2
36.8
51.7



R1234 (ze + yf)
mass %
49.2
54.6
57.6
59.1
55.7
41.6
29.2














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



and
and
and
and
and
and
and



transport
transport
transport
transport
transport
transport
transport



at 38.8° C.
at 38.7° C.
at 38.7° C.
at 39.2° C.
at 40.0° C.
at 40.0° C.
at 40.0° C.



and 0%
and 0%
and 0%
and 0%
and 0%
and 0%
and 0%



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



gas phase
gas phase
gas phase
gas phase
gas phase
gas phase
gas phase



side
side
side
side
side
side
side
















WCFF
HFO-1132 (E)
mass %
72.0
63.9
57.4
48.3
39.8
30.9
26.8



R32
mass %
0.0
4.9
9.8
18.5
29.6
46.7
57.4



R1234ze
mass %
3.3
3.7
3.9
3.9
3.6
2.6
1.8



R1234yf
mass %
24.7
27.5
28.9
29.3
27.0
19.8
14.0















Burning velocity (WCF)
cm/s
5 or less
5 or less
5 or less
5 or less
5 or less
6.4
7.3


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
























TABLE 15







Item
Unit
Kr=1
K′r=1
Lr=1
Mr=1
Lr=1





















WCF
HFO-1132 (E)
mass %
72.0
57.2
48.5
35.6
28.8





R32
mass %
0.0
10.0
18.2
36.8
51.7





R1234 (ze + yf)
mass %
28.0
32.8
33.3
27.6
19.5

















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







Item
Unit
Or=1
O′r=1
Pr=1
P′r=1
Qr=1
Rr=1
Sr=1



















WCF
HFO-1132 (E)
mass %
52.6
44.7
39.2
32.4
27.7
22.6
19.7



R32
mass %
0.0
2.5
5.0
10.0
18.2
36.8
51.7



R1234 (ze + yf)
mass %
47.4
52.8
55.8
57.6
54.1
40.6
28.6














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



and
and
and
and
and
and
and



transport
transport
transport
transport
transport
transport
transport



at 39.4° C.
at 39.3° C.
at 39.4° C.
at 39.8° C.
at 40.0° C.
at 40.0° C.
at 40.0° C.



and 0%
and 0%
and 0%
and 0%
and 0%
and 0%
and 0%



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



gas phase
gas phase
gas phase
gas phase
gas phase
gas phase
gas phase



side
side
side
side
side
side
side
















WCFF
HFO-1132 (E)
mass %
72.0
64.1
57.8
48.7
40.6
31.4
27.1



R32
mass %
0.0
4.8
9.5
17.9
28.7
45.7
56.4



R1234ze
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0



R1234yf
mass %
28.0
31.1
32.7
33.4
30.7
22.9
16.5















Burning velocity (WCF)
cm/s
5 or less
5 or less
5 or less
5 or less
5.1
6.6
7.5


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









The results indicate that a mixed refrigerant has a refrigerating capacity ratio of 70% or more relative to that of R410A, and a GWP of 350 or less, and further ensures a WCF lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf in the mixed refrigerant, and when r=R1234yf/(R1234ze+R1234yf), (1) if 0.2≥r>0, coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments KrLr, LrMr, MrNr, NrBr″, Br″Jr, JrIr, IrHr, HrGr, and GrKr, that connect the following 9 points:


point Kr (72.0, 0.0, 28.0),


point Lr (−0.0618r2−0.0675r+48.612, 0.0618r2+0.0675r+18.088, 33.3),


point Mr (−0.0618r2−0.0675r+35.712, 0.0618r2+0.0675r+36.688, 27.6),


point Nr (−0.0618r2−0.0675r+28.912, 0.0618r2+0.0675r+51.588, 19.5),


point B″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),


point Ir (−13.5r+2.7, 36.5, 13.5r+60.8),


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments KrLr, LrMr, MrNr, NrBr″, JrIr, IrHr, and HrGr (excluding point Br″, point Jr, point Gr, and point Kr),


the line segments LrMr, MrNr, NrBr″, Br″Jr, JrIr, IrHr, and GrKr are straight lines,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.00965r2−0.0024r−0.00319) x2+(−0.6153r2+0.0221r−0.0805) x+(11.593r2+10.251r+61.433)), (2) if 1>r>0.2, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments KrLr, LrMr, MrNr, NrBr″, Br″Jr, JrHr, HrGr, and GrKr that connect the following 8 points:


point Kr (72.0, 0.0, 28.0),


point Lr (−0.0618r2−0.0675r+48.612, 0.0618r=+0.0675r+18.088, 33.3),


point Mr (−0.0618r2−0.0675r+35.712, 0.0618r2+0.0675r+36.688, 27.6),


point Nr (−0.0618r2−0.0675r+28.912, 0.0618r2+0.0675r+51.588, 19.5),


point B″ (0, −0.2268r+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments KrLr, LrMr, MrNr, NrBr″, JrHr, and HrGr (excluding point Br″, point Jr, point Gr, and point Kr), and


the line segments LrMr, MrNr, NrBr″, Br″Jr, JrHr, and GrKr are straight lines, wherein


(2-1) if 0.27≥r>0.2,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, ((0.00965r2−0.0024r−0.00319)x2+(−0.6153r2+0.0221r−0.0805)x+(11.593r+10.251r+61.433)) and


(2-2) if 0.64≥r>0.27,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, (0.0003861r2−0.0002973r−0.011348)x+(−0.050193r2+0.038649r+1.1386)x+(1.583r2−1.2189r+4.8167)), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.011147r2−0.010278r−0.00111674)x2+(−0.8771r2+0.6728r−0.2371)x+(12.661r2+0.7382r+63.924)), and


(3) if 1>r>0.64,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.01138x2+1428x+4.685), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r2−0.0006r−0.0029)x2+(0.0062r2−0.1212r−0.0907)x+(2.1759r2+15.588r+61.137))


The results also indicate that a mixed refrigerant has a refrigerating capacity ratio of 70% or more relative to that of R410A, and a GWP of 125 or less, and further ensures a WCF lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf in the mixed refrigerant, and when r=R1234yf/(R1234ze+R1234yf), coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments KrLr, LrHr, HrGr, and GrKr that connect the following 4 points:


point Kr (72.0, 0.0, 28.0),


point Lr (−0.0618r−0.0675r+48.612, 0.0618r+0.0675r+18.088, 33.3),


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments KrLr, LrHr, and HrGr (excluding point Gr and point Kr), and


the line segments LrHr and GrKr are straight lines, wherein


(2-1) if 0.27≥r>0.2,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by coordinates (x,y,z) of the points on the line segment


(x, 100-x-z, (0.0003861r2−0.0002973r−0.011348)x2+(−0.050193r2+0.038649r+1.1386)x+(1.583r2−1.2189r+4.8167)),


(2-2) if 0.64≥r>0.27,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, (0.0003861r2−0.0002973r−0.011348) x2+(−0.050193r2+0.038649r+1.1386) x+(1.583r2−1.2189r+4.8167)), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.011147r2−0.010278r−0.00111674)x2+(−0.8771r+0.6728r−0.2371)x+(12.661r2+0.7382r+63.924)), and


(2-3) if 1>r>0.64,


coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.01138x2+1.1428x+4.685), and


coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r2−0.0006r−0.0029)x2+(0.0062r2−0.1212r−0.0907)x+(2.1759r2+15.588r+61.137)).


The results also indicate that a mixed refrigerant has a refrigerating capacity ratio of 70% or more relative to that of R410A, and a GWP of 350 or less, and further has an ASHRAE lower flammability when the following requirements are satisfied. Specifically, when the mass % of HFO-1132(E) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf in the mixed refrigerant, and when r=R1234yf/(R1234ze-+R1234yf),


(1) if 0.2≥r>0, coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments VrRr, RrSr, SrBr″, Br″Jr, JrIr, and IrVr, that connect the following 6 points:


point Vr (−4.2328r2+14.847r+17.1, 14.815r−26.963r+24.2, −10.5822r2+12.116r+58.7),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),


point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, −0.491r2−4.6129r+32.703),


point B″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895), and


point Ir (−13.5r+2.7, 36.5, 13.5r+60.8),


or on the line segments VrRr, RrSr, SrBr″, JrIr, and IrVr (excluding point Br″ and point Jr), and


the line segments VrRr, RrSr, SrBr″, Br″Jr, JrIr, and IrVr are straight lines,


(2) if 0.27≥r>0.2, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments VrRr, RrSr, SrBr″, Br″Jr, and JrVr that connect the following 5 points:


point Vr (−4.2328r2+14.847r+17.1, 14.815r=−26.963r+24.2, −10.5822r2+12.116r+58.7),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),


point Sr (−0.3578r−+4.1741r+15.894, −0.1332r2+0.4388r+51.403, 0.491r2−4.6129r+32.703),


point B″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165), and


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895), or on the line segments VrRr, RrSr, SrBr″, and JrVr (excluding point Br″ and point Jr), and


the line segments VrRr, RrSr, SrBr″, Br″Jr, and JrVr are straight lines,


(3) if 0.64≥r>0.27, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments VrQr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, and HrVr that connect the following 7 points:


point Vr (113.4r2−64.271r+29.887, −64.63r2+23.678r+16.318, −48.77r2+40.5931r+53.795),


point Qr (−6.2112r2+15.652r+17.027, 0.7554r2−0.1469r+17.985, 5.4558r2−15.5051r+64.988),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),


point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, 0.491r2−4.6129r+32.703),


point B″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895), and


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701),


or on the line segments VrQr, QrRr, RrSr, SrBr″, JrHr, and HrVr (excluding point Br″ and point Jr), and


the line segments VrRr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, and HrVr are straight lines,


(4) if 1.0>r>0.64, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments OrPr, PrQr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, HrGr, and GrKr that connect the following 9 points:


point Or (−3.0864r2+15.617r+40.069, 0.0, 3.0864r2−15.617r+59.931),


point Pr (−6.1728r2+21.235r+24.138, 5.0, 6.1728r2−21.235r+70.862),


point Qr (8.8889r+18.811, 18.2, −8.8889r+62.989),


point Rr (−1.3862r2+7.8917r+16.089, 0.0937r=+0.1466r+36.581, 1.2925r=−8.0383r+47.33),


point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, 0.491r2−4.6129r+32.703),


point B″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),


point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),


point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), and


point Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082), or on the line segments OrPr, PrQr, QrRr, RrSr, SrBr″, JrHr, and HrGr (excluding point Or, point Br″, point Jr, and point Gr),


the line segments QrRr, RrSr, SrBr″, Br″Jr, and JrHr are straight lines,


coordinates (x,y,z) of the points on the line segment OrPr are represented by (x, 100-x-z, (0.0077r2−0.014r−0.004)x2+(−0.7731r=+1.6132r−0.5209)x+(19.074r2−47.72r+87.771)),


coordinates (x,y,z) of the points on the line segment PrQr are represented by (x, 100-x-z, (−0.179r2+0.2997r−0.2085)x2+(11.347r2−17.461r+12.133)x+(−180.86r2+243.12r−107.55)), and coordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r2−0.0006 r−0.0029)x2+(0.0062r2−0.1212r−0.0907)x+(2.1759r2+15.588r+61.137)).


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









TABLE 16







Point B











Point Br (r = R1234yf/(R1234ze + R12434yf))















Item
Unit
0.00
0.20
0.27
0.50
0.64
0.32
1.00





HFO-1132 (E)
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0


R32
mass %
17.8
17.9
17.9
17.9
17.9
17.9
18.0


R1234 (ze + yf)
mass %
82.2
82.1
82.1
82.1
82.1
82.1
82.0








x = HFO-1132(E) approximate expression
0.0


y = R32 approximate expression
−0.0083r2 + 0.1392r + 17.835


z = R1234(ze + yf) approximate expression
0.0083r2 − 0.1392r + 82.165










Point B′











Point B′r (r = R1234yf/(R1234ze + R12434yf))















Item
Unit
0.00
0.20
0.27
0.50
0.64
0.82
1.00





HFO-1132 (E)
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0


R32
mass %
36.5
36.5
36.5
36.5
36.6
36.6
36.6


R1234 (ze + yf)
mass %
63.5
63.5
63.5
63.5
63.4
63.4
63.4








x = HFO-1132(E) approximate expression
0.0


y = R32 approximate expression
0.0618r2 + 0.0675r + 36.488


z = R1234(ze + yf) approximate expression
0.0083r2 − 0.1392r + 82.165










Point B″











Point B″r (r = R1234yf/(R1234ze + R12434yf))















Item
Unit
0.00
0.20
0.27
0.50
0.64
0.82
1.00





HFO-1132 (E)
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0


R32
mass %
51.4
51.5
51.5
51.5
51.5
51.5
51.5


R1234 (ze + yf)
mass %
48.6
48.5
48.5
48.5
48.5
48.5
48.5








x = HFO-1132(E) approximate expression
0.0


y = R32 approximate expression
−0.2268r2 + 0.2922r + 51.422


z = R1234(ze + yf) approximate expression
0.0083r2 − 0.1392r + 82.165










Point G











Point Gr (r = R1234yf/(R1234ze + R12434yf))















Item
Unit
0.00
0.20
0.27
0.50
0.64
0.82
1.00





HFO-1132 (E)
mass %
50.9
48.7
47.9
45.3
43.7
41.6
39.6


R32
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0


R1234 (ze + yf)
mass %
49.1
51.3
52.1
54.7
56.3
58.4
60.4








x = HFO-1132(E) approximate expression
−0.1392r2 − 11.155r + 50.918


y = R32 approximate expression
0.0


z = R1234(ze + yf) approximate expression
0.1892r2 + 11.155r + 49.082










Point H











Point Hr (r = R1234yf/(R1234ze + R12434yf))















Item
Unit
0.00
0.20
0.27
0.50
0.64
0.82
1.00





HFO-1132 (E)
mass %
24.3
21.7
20.8
17.7
15.8
13.4
10.9


R32
mass %
18.0
18.0
18.0
18.0
18.1
18.1
18.1


R1234 (ze + yf)
mass %
57.7
60.2
61.2
64.3
66.1
68.5
71.0








x = HFO-1132(E) approximate expression
−0.4195r2 − 12.988r + 24.311


y = R32 approximate expression
0.0618r2 + 0.0675r + 17.988


z = R1234(ze + yf) approximate expression
0.3577r2 + 12.9205r + 57.701










Point J











Point Jr (r = R1234yf/(R1234ze + R12434yf))















Item
Unit
0.00
0.20
0.27
0.50
0.64
0.82
1.00





HFO-1132 (E)
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0


R32
mass %
39.1
36.5
35.6
32.7
31.0
28.9
26.3


R1234 (ze + yf)
mass %
60.9
63.5
64.4
67.3
69.0
71.1
73.2








x = HFO-1132(E) approximate expression
0.0


y = R32 approximate expression
0.9705r2 − 13.268r + 39.105


z = R1234(ze + yf) approximate expression
−0.9705r2 + 13.268r + 60.895


















Item
Unit
K
Kr=0.2
Kr=0.27
Kr=0.5
Kr=0.64
Kr=0.82
Kr=1





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


R32
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0


R1234 (ze + yf)
mass %
28.0
28.0
28.0
28.0
28.0
28.0
28.0





Item
Unit
K′
K′r=0.2
K′r=0.27
K′r=0.5
K′r=0.64
K′r=0.82
K′r=1





HFO-1132 (E)
mass %
57.2
57.2
57.2
57.2
57.2
57.2
57.2


R32
mass %
10.0
10.0
10.0
10.0
10.0
10.0
10.0


R1234 (ze + yf)
mass %
32.8
32.8
32.8
32.8
32.8
32.8
32.8










Point L











Point Lr (r = R1234yf/(R1234ze + R12434yf))















Item
Unit
0
0.2
0.27
0.5
0.64
0.82
1





HFO-1132 (E)
mass %
48.6
48.6
48.6
48.6
48.5
48.5
48.5


R32
mass %
18.1
18.1
18.1
18.1
18.2
18.2
18.2


R1234 (ze + yf)
mass %
33.3
33.3
33.3
33.3
33.3
33.3
33.3








x = HFO-1132(E) approximate expression
−0.0618r2 − 0.0675r + 48.612


y = R32 approximate expression
0.0618r2 + 0.0675r + 18.088


z = R1234(ze + yf) approximate expression
33.3
















TABLE 18







Point M











Point Mr (r = R1234yf/(R1234ze + R12434yf))















Item
Unit
0.00
0.20
0.27
0.50
0.64
0.82
1.00





HFO-1132 (E)
mass %
35.7
35.7
35.7
35.7
35.6
35.6
35.6


R32
mass %
36.7
36.7
36.7
36.7
36.8
36.8
36.8


R1234 (ze + yf)
mass %
27.6
27.6
27.6
27.6
27.6
27.6
27.6








x = HFO-1132 (E) approxmate expression
−0.0618r2 − 0.0675r + 35.712


y = R32 approximate expression
0.06130 + 0.0675r + 36.683


z = R1234(ze + yf) approximate expression
27.6










Point N











Point Nr (r = R1234yf/(R1234ze + R12434yf))















Item
Unit
0.00
0.20
0.27
0.50
0.64
0.82
1.00





HFO-1132 (E)
mass %
28.9
28.9
28.9
28.9
28.8
28.8
28.8


R32
mass %
51.6
51.6
51.6
51.6
51.7
51.7
51.7


R1234 (ze + yf)
mass %
19.5
19.5
19.5
19.5
19.5
19.5
19.5








x = HFO-1132 (E) approxmate expression
−0.0618r2 − 0.0675r + 28.912


y = R32 approximate expression
0.0618r2 + 0.0675r + 51.588


z = R1234(ze + yf) approximate expression
19.5










Point O











Point Or (r = R1234yf/(R1234ze + R12434yf))

















Item
Unit
0.00
0.20
0.27
0.27
0.50
0.64
0.64
0.82
1.00





HFO-1132 (E)
mass %
38.4
42.3
43.5
43.5
47.0
48.6
48.8
50.8
52.6


R32
mass %
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0
0.0


R1234 (ze + yf)
mass %
61.6
57.7
56.5
56.5
53.0
51.2
51.2
49.2
47.4










x = HFO-1132 (E) approxmate expression
−8.7302r2 + 21.246r + 38.4
−6.379r2 + 20.129 + 38.53
−3.0864r2 + 15.617r + 40.069


y = R32 approximate expression
0.0
0.0
0.0


z = R1234(ze + yf) approximate expression
8.7302r2 − 21.246r + 61.6
6.379r2 − 20.129r + 61.47
3.0864r2 − 15.617r + 59.931










Point P











Point Pr (r = R1234yf/(R1234ze + R12434yf))

















Item
Unit
0
0.2
0.27
0.27
0.5
0.64
0.64
0.82
1





HFO-1132 (E)
mass %
25.4
29.1
30.2
30.2
33.6
35.2
35.2
37.4
39.2


R32
mass %
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0
5.0


R1234 (ze + yf)
mass %
69.6
65.9
64.8
64.8
61.4
59.8
59.8
57.6
55.8










x = HFO-1132 (E) approxmate expression
−10.317r2 + 20.563r + 25.4
−9.065r2 + 21.763r + 24.985
−6.1728r2 + 21.235r + 24.138


y = R32 approximate expression
5.0
5.0
5.0


z = R1234(ze + yf) approximate expression
10.317r2 − 20.563r + 69.6
9.065r2 − 21.763r + 70.015
6.1728r2 − 21.235r + 70.362
















TABLE 19







Point Q











Point Qr (r = R1234yf/(R1234ze + R1234yf))

















Item
Unit
0
0.2
0.27
0.27
0.5
0.64
0.64
0.82
1





HFO-1132 (E)
mass %
17.6
20.1
20.8
20.8
23.3
24.5
24.5
26.1
27.7


R32
mass %
17.9
13.0
18.0
18.0
18.1
18.2
18.2
18.2
18.2


R1234 (ze + yf)
mass %
64.5
61.9
61.2
61.2
58.6
57.3
57.3
55.7
54.1










x = HFO-1132 (E) approximate expression
−9.2593r2 + 14.352r + 17.6
−6.2112r2 + 15.652r + 17.027
8.8889r + 18.811


y = R32 approximate expression
−1.8519r2 + 0.8704r + 17.9
0.7554r2 − 0.1469r + 17.985
18.2


z = R1234(ze + yf) approximate expression
11.1112r2 − 15.2224r + 64.5
5.4558r2 − 15.5051r + 56.988
−8.8889r + 62.989










Point R











Point Pr (r = R1234yf/(R1234ze + R1234yf))















Item
Unit
0
0.2
0.27
0.5
0.64
0.82
1





HFO-1132 (E)
mass %
16.1
17.6
18.1
19.7
20.6
21.6
22.6


R32
mass %
36.6
36.6
36.6
36.7
36.7
36.8
36.8


R1234 (ze + yf)
mass %
47.3
45.8
45.3
43.6
42.7
41.6
40.6








x = HFO-1132 (E) approximate expression
−1.3362r2 + 7.8917r + 16.089


y = R32 approximate expression
0.0937r2 + 0.1466r + 36.581


z = R1234(ze + yf) approximate expression
1.2925r2 − 8.0383r + 47.33










Point S











Point Sr (r = R1234yf/(R1234ze + R1234yf))















Item
Unit
0
0.2
0.27
0.5
0.64
0.82
1





HFO-1132 (E)
mass %
15.9
16.7
17.0
17.9
18.4
19.1
19.7


R32
mass %
51.1
51.5
51.5
51.6
51.6
51.7
51.7


R1234 (ze + yf)
mass %
32.7
31.8
31.5
30.5
30.0
29.2
28.6








x = HFO-1132 (E) approximate expression
−0.3578r2 + 4.1711r + 15.894


y = R32 approximate expression
−0.1332r2 + 0.4388r + 51.403


z = R1234(ze + yf) approximate expression
0.491r2 − 4.6129r + 32.703










Point I











Point Ir










Item
Unit
0
0.2





HFO-1132 (E)
mass %
2.7
0.0


R32
mass %
36.5
36.5


R1234 (ze + yf)
mass %
60.8
63.5








x = HFO-1132 (E) approximate expression
−13.5r + 2.7


y = R32 approximate expression
36.5


z = R1234(ze + yf) approximate expression
13.5r + 60.8
















TABLE 20







Point V











Point Vr (r = R1234yf/(R1234ze + R12434yf))














Item
Unit
0
0.2
0.27
0.27
0.5
0.64





HFO-1132 (E)
mass %
17.1
19.9
20.8
20.8
26.1
35.2


R32
mass %
24.2
19.4
18.0
18.0
12.0
 5.0


R1234 (ze + yf)
mass %
58.7
60.7
61.2
61.2
61.9
59.8









x = HFO-1132 (E) approximate expression
−4.2328r2 + 14.847r + 17.1
113.4r2 − 64.271r + 29.887


y = R32 approximate expression
14.815r2 − 26.963r + 24.2
−64.63r2 + 23.678r + 16.318


z = R1234(ze + yf) approximate expression
=D245
−48.77r2 + 40.5931r + 53.795









The coordinates of the points on each line segment were obtained using the approximate expressions as shown below.









TABLE 21





Line segment GrHr




























Item
Unit
r
Gr
G′r
Hr
r
Gr
G′r
Hr
r
Gr
G′r
Hr





HFO-1332 (E)
mass %
0
50.9
35.4
24.3
0.27
47.9
32.0
20.8
0.64
43.7
27.3
15.7


R32
mass %

0.0
10.0
13.1

0.0
10.0
18.0

0.0
10.0
18.1


R1234(ze + yf))
mass %

49.1
54.6
57.6

52.1
58.0
61.2

56.3
62.7
66.2













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100-x-z


expression








z = R1234(ze + yf)

−0.00319x2 −0.0805x +

−0.00313x2 − 0.1194x +

−0.00318x2 − 0.1658x + 69.582


approximate

61.433

65.046






















HFO-1332 (E)
mass %
0.2
48.7
32.9
21.8
0.5
45.2
29.0
17.8
0.82
41.6
25.0
13.3


R32
mass %

0.0
10.0
18.0

0.0
10.0
18.0

0.0
10.0
18.1


R1234(ze + yf))
mass %

51.3
57.1
60.2

54.8
61.0
64.2

58.4
65.0
68.6













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100-x-z


expression








z = R1234(ze + yf)

−0.00328x2 − 0.1007x +

−0.00352x2 − 0.12x +

−0.0032x2 − 0.186x + 71.636


approximate

63.947

67.453






















HFO-1332 (E)
mass %
0.27
47.9
32.0
20.8
0.64
43.7
27.3
15.7
1
39.6
22.8
11.0


R32
mass %

0.0
10.0
18.0

0.0
10.0
13.1

0.0
10.0
13.1


R1234(ze + yf))
mass %

52.1
58.0
61.2

56.3
62.7
66.2

60.4
67.2
70.9













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100-x-z


expression








z = R1234(ze + yf)

−0.00313x2 − 0.1194x +

−0.00318x2 − 0.1658x +

−0.0032x2 − 0.2058x + 73.549


approximate

65.046

69.532

























r
a
b
c
r
a
b
c
r
a
b
c






















R1234(ze + yf)
0
−0.00319
−0.0805
61.433
0.27
−0.00313
−0.1194
65.046
0.64
−0.00318
−0.1658
69.582


approximate expression
0.2
−0.00328
−0.1007
63.947
0.5
−0.00352
−0.12
67.453
0.82
−0.0032
−0.186
71.636


when x = HFO-1132(E)
0.27
−0.00313
−0.1194
65.046
0.64
−0.00318
−0.1658
69.582
1
−0.0032
−0.2058
73.549










and r = yf/(rf + ze)
(0.00965r2 − 0.0024r − 0.00319)x2 +
(0.011147r2 − 0.010278r −
(0.0003r2 − 0.0006r − 0.0029)x2 +



(−0.6153r2 + 0.0221r − 0.0805)x +
0.00111674)x2 +
(0.0062r2 − 0.1212r − 0.0907)x +



(11.593r2 + 10.251r + 61.433)
(−0.8771r2 + 0.6728r − 0.2371)x+
(2.1759r2 + 15.588r + 61.137)
















TABLE 22





Line segment KrLr




























Item
Unit
r
Kr
K′r
Lr
r
Kr
K′r
Lr
r
Kr
K′r
Lr





HFO-1132 (E)
mass %
0
72.0
57.2
48.6
0.27
72.0
57.2
48.6
0.64
72.0
57.2
48.5


R32
mass %

0.0
10.0
18.1

0.0
10.0
18.1

0.0
10.0
18.2


R1234(ze + yf))
mass %

28.0
32.8
33.3

28.0
32.8
33.3

28.0
32.8
33.3













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100-x-z


expression








z = R1234(ze + yf)

−0.0114x2 + 1.145x + 4.503

−0.0114x2 + 1.145x + 4.603

−0.03138x2 + 1.1428x + 4.685


approximate


























HFO-1332 (E)
mass %
0.2
72.0
57.2
48.6
0.5
72.0
57.2
48.6
0.82
72.0
57.2
48.5


R32
mass %

0.0
10.0
18.1

0.0
10.0
18.1

0.0
10.0
18.2


R1234(ze + yf))
mass %

28.0
32.8
33.3

28.0
32.8
33.3

28.0
32.8
33.3













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100-x-z


expression








z = R1234(ze + yf)

−0.0114x2 + 1.145x + 4.603

−0.0114x2 + 1.145x + 4.603

−0.011138x2 + 1.1428x + 4.685


approximate


























HFO-1332 (E)
mass %
0.27
72.0
57.2
48.6
0.64
72.0
57.2
48.5
1
72.0
57.2
48.5


R32
mass %

0.0
10.0
38.1

0.0
10.0
18.2

0.0
10.0
15.2


R1234(ze + yf))
mass %

28.0
32.8
33.3

28.0
32.8
33.3

28.0
32.8
33.3













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100-x -z


expression








z = R1234(ze + yf)

−0.0114x2 + 1.145x + 4.503

−0.01138x2 + 1.1428x + 4.685

−0.011138x2 + 1.1428x + 4.685


approximate

























r
a
b
c
r
a
b
c
r
a
b
c






















R1234(ze + yf)
0
−0.0114
1.1454
4.503
0.27
−0.0114
1.1454
4.603
0.64
−0.01138
1.1428
4.685


approximate expression
0.2
−0.0114
1.1454
4.503
0.5
−0.0114
1.1454
4.603
0.82
−0.01138
1.1428
4.685


when x = HFO-1132(E)
0.27
−0.0114
1.1454
4.503
0.64
−0.01138
1.1428
4.685
1
−0.01138
1.1428
4.685










and r = yf/(rf + ze)
−0.0114x2 + 1.1454x + 4.503
(0.0003861r2 − 0.0002973r −
−0.01138x2 + 1.1428x + 4.635




0.011348)x2 +





(−0.050193r2 + 0.038649r + 1.1386)x+
















TABLE 23





Line segment OrPr




























Item
Unit
r
Or
O′r
Pr
r
Or
O′r
Pr
r
Or
O′r
Pr





HFO-1132 (E)
mass %
0
38.4
30.3
25.4
0.27
43.5
35.8
30.2
0.64
48.8
40.8
35.2


R32
mass %

0.0
2.5
5.0

0.0
2.5
5.0

0.0
2.5
5.0


R1234(ze + yf)
mass %

61.6
67.2
69.6

56.5
62.0
64.8

51.2
56.7
59.8













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100-x-z


expression








z = R1234(ze + yf)

−0.0155x2 + 0.3738x +

−0.01195x2 + 0.2581x +

-0.0098x2 + 0.1949x +


approximate

70.108

67.922

65.043




















HFO-1132 (E)
mass %
0.2
42.3
34.3
29.1
0.5
45.6
38.9
33.6
0.82
50.2
42.9
37.4


R32
mass %

0.0
2.5
5.0

0.0
2.5
5.0

0.0
2.5
5.0


R1234(ze + yf)
mass %

57.7
63.2
65.9

54.4
58.6
61.4

49.2
54.6
57.6













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100-x-z


expression








z = R1234(ze + yf)

−0.01273 + 0.289x +

−0.0082x2 + 0.0672x +

-0.0103x2 + 0.2821x +


approximate

68.286

68.415

61.466




















HFO-1132 (E)
mass %
0.27
43.5
35.5
30.2
0.64
48.8
40.8
35.2
1
52.6
44.7
39.2


R32
mass %

0.0
2.5
5.0

0.0
2.5
5.0

0.0
2.5
5.0


R1234(ze + yf)
mass %

56.5
62.0
64.8

51.2
56.7
59.8

47.4
52.8
55.8













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100-x-z


expression








z = R1234(ze + yf)

−0.01195x2 + 0.2581x +

−0.0098x2 + 0.1949x +

-0.0103x2 + 0.3192x +


approximate

67.922

65.043

59.125























r
a
b
c
r
a
b
c
r
a
b
c





R1234(ze + yf)
0
−0.0155
0.3738
70.108
0.27
−0.01195
0.2581
67.922
0.64
−0.0098
0.1949
65.043


approximate expression
0.2
−0.01273
0.289
68.286
0.5
−0.0082
0.0672
68.415
0.82
−0.0103
0.2821
61.466


when x = HFO-1132(E)
0.27
−0.01195
0.2581
67.922
0.64
−0.0098
0.1949
65.043
1
−0.0103
0.3192
59.125










and r = yf/(rf + ze)
(−0.0102r2 + 0 0159r − 0.0155)x2 +
(−0.07485r2 + 0.074r − 0.0265)x2 +
(0.0077r2 − 0.014r − 0.004)x2 +



(−0.0646r2 − 0.4111r + 0.3738)x +
(4.7085r2 − 4.555r + 1.1178)x +
(−0.7731r2 + 1.6132r − 0.5209)x +



(14.481r2 − 12.006r + 70.108)
(−70.89r2 + 56.729r + 57.773)
(19.074r2 + 47.72r + 87.771)
















TABLE 24





Line segment PrQr




























Item
Unit
r
Pr
P′r
Qr
r
Pr
P′r
Qr
r
Pr
P′r
Qr





HFO-1132 (E)
mass %
0
25.4
20.4
17.6
0.27
30.2
24.5
20.1
0.64
35.2
29.1
24.5


R32
mass %

5.0
10.0
17.9

5.0
10.0
18.0

5.0
10.0
18.2


R1234(ze + yf)
mass %

69.6
69.5
64.5

64.8
65.5
61.9

53.8
60.9
57.3













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100-x-z


expression








z = R1234(ze + yf)

−0.2335x2 + 10.695x2 −

−0.0932x2 + 4.9734x −

−0.09x2 + 5.6063x −


approximate

51.4

0.43

26.04




















HFO-1132 (E)
mass %
0.2
29.1
23.5
20.1
0.5
33.6
27.4
23.3
0.82
37.4
30.9
26.1


R32
mass %

5.0
10.0
18.0

5.0
10.0
15.1

5.0
10.0
19.2


R1234(ze + yf)
mass %

65.9
66.5
61.9

61.4
62.6
59.5

57.6
59.1
55.7













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100-x-z


expression








z = R1234(ze + yf)

−0.1622x2 + 8.4262x2 −

−0.1135x2 + 6.7306x2 −

−0.0831x2 + 5.4454x −


approximate

41.92

36.6

29.81




















HFO-1132 (E)
mass %
0.27
30.2
24.5
20.1
0.64
35.2
29.1
24.5
1
39.2
32.4
27.7


R32
mass %

5.0
10.0
18.0

5.0
10.0
18.2

5.0
10.9
18.2


R1234(ze + yf)
mass %

64.8
65.5
61.9

59.8
60.9
57.3

55.8
57.6
54.1













x = HFO-1132(E)

x

x

x


approximate








y = R32 approximate

100-x-z

100-x-z

100.-x-z


expression








z = R1234(ze + yf)

−0.11932x2 + 4.9734x −

−0.09x2 + 5.6063x −

−0.0878x2 + 6.0198x −


approximate

0.43

26.04

45.3























r
a
b
c
r
a
b
c
r
a
b
c





R1234(ze + yf)
0
−0.2335
10.695
−51.4
0.27
−0.0932
4.9734
−0.43
0.64
−0.09
5.6063
−26.04


approximate expression
0.2
−0.1622
8.4262
−41.92
0.5
−0.1135
6.7306
−36.6
0.32
−9.0831
5.4454
−29.81


when x = HFO-1132(E)
0.27
−0.0932
4.9734
−0.43
0.64
−0.09
5.6063
−26.04
1
−0.0878
6.0198
−45.3










and r = yf/(rf + ze)
(2.3304r2 − 0.1096r − 0.2335)x2 +
(0.6922r2 − 0.6213r + 0.0241)x2 +
(−0.179r2 + 0.2997r − 0.2085)x2 +



(−140.67r2 + 16.791r + 10.695)x +
(−42.353r2 + 40.252r − 2.8071)x +
(11.347r2 − 17.461r + 12.133)x +



(2019.7r2 − 356.54r − 51.4)
(628.89r2 − 641.51r + 126.93)
(−180.86r2 + 243.12r − 107.55)









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)), difluoromethane (R32), and 1,3,3,3-tetrafluoropropene (R1234ze).
  • 2. The composition according to claim 1, wherein when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MN, NB″, B″J, JI, IH, HG, and GK that connect the following 9 points:point K (72.0, 0.0, 28.0),point L (48.6, 18.1, 33.3),point M (35.7, 36.7, 27.6),point N (28.9, 51.6, 19.5),point B″ (0.0, 51.4, 48.6),point J (0.0, 39.1, 60.9),point I (2.7, 36.5, 60.8),point H (24.3, 18.0, 57.7), andpoint G (50.9, 0.0, 49.1),or on the line segments KL, LM, MN, NB″, JI, IH, and HG (excluding point B″, point J, point G, and point K), the line segments LM, MN, NB″, B″J, JI, IH, and GK are straight lines,coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), andcoordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2−0.0805x+61.433).
  • 3. The composition according to claim 1, wherein when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MI, IH, HG, and GK that connect the following 6 points:point K (72.0, 0.0, 28.0),point L (48.6, 18.1, 33.3),point M (35.7, 36.7, 27.6),point I (2.7, 36.5, 60.8),point H (24.3, 18.0, 57.7), andpoint G (50.9, 0.0, 49.1),or on the line segments KL, LM, MI, IH, and HG (excluding point G and point K), the line segments LM, MI, IH, and GK are straight lines,coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), andcoordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2−0.0805x+61.433).
  • 4. The composition according to claim 1, wherein when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LH, HG, and GK that connect the following 4 points:point K (72.0, 0.0, 28.0),point L (48.6, 18.1, 33.3),point H (24.3, 18.0, 57.7), andpoint G (50.9, 0.0, 49.1),or on the line segments KL, LH, and HG (excluding point G and point K), the line segments LH and GK are straight lines,coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), andcoordinates (x,y,z) of the points on the line segment HG are represented by (x, 0.00319x2−0.9195x+38.567, −0.00319x2−0.0805x+61.433).
  • 5. The composition according to claim 1, wherein when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, MN, NF, FE, ED, DC, and CK that connect the following 8 points:point K (72.0, 0.0, 28.0),point L (48.6, 18.1, 33.3),point M (35.7, 36.7, 27.6),point N (28.9, 51.6, 19.5),point F (1.0, 51.5, 47.5),point E (16.7, 36.5, 46.8),point D (39.8, 18.1, 42.1), andpoint C (67.6, 0.0, 32.4),or on the line segments KL, LM, MN, NF, FE, ED, and DC (excluding point C and point K), the line segments LM, MN, NF, FE, ED, and CK are straight lines,coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), andcoordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x2−0.0739x+49.097).
  • 6. The composition according to claim 1, wherein when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LM, ME, ED, DC, and CK that connect the following 6 points:point K (72.0, 0.0, 28.0),point L (48.6, 18.1, 33.3),point M (35.7, 36.7, 27.6),point E (16.7, 36.5, 46.8),point D (39.8, 18.1, 42.1), andpoint C (67.6, 0.0, 32.4),or on the line segments KL, LM, ME, ED, and DC (excluding point C and point K), the line segments LM, ME, ED, and CK are straight lines,coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), andcoordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x2−0.0739x+49.097).
  • 7. The composition according to claim 1, wherein when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by line segments KL, LD, DC, and CK that connect the following 4 points:point K (72.0, 0.0, 28.0),point L (48.6, 18.1, 33.3),point D (39.8, 18.1, 42.1), andpoint C (67.6, 0.0, 32.4),or on the line segments KL, LD, and DC (excluding point C and point K), the line segments LD and CK are straight lines,coordinates (x,y,z) of the points on the line segment KL are represented by (x, 0.0114x2−2.1454x+95.397, −0.0114x2+1.1454x+4.603), andcoordinates (x,y,z) of the points on the line segment DC are represented by (x, 0.00257x2−0.9261x+50.903, −0.00257x2−0.0739x+49.097).
  • 8. The composition according to claim 1, wherein when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by straight lines VR, RS, SB″, B″J, JI, and IV that connect the following 6 points:point V (17.1, 24.2, 58.7),point R (16.1, 36.6, 47.3),point S (15.9, 51.4, 32.7),point B″ (0.0, 51.4, 48.6),point J (0.0, 39.1, 60.9), andpoint I (2.7, 36.5, 60.8),or on the straight lines VR, RS, SB″, JI, and IV (excluding point B″ and point J).
  • 9. The composition according to claim 1, wherein when the mass % of HFO-1132(E), R32, and R1234ze based on their sum in the refrigerant is respectively represented by x, y, and z, coordinates (x,y,z) in a ternary composition diagram in which the sum of HFO-1132(E), R32, and R1234ze is 100 mass % are within the range of a figure surrounded by straight lines US, SF, and FU that connect the following 3 points:point U (16.1, 37.1, 46.8),point S (15.9, 51.4, 32.7), andpoint F (1.0, 51.5, 47.5),or on the straight lines US, SF, and FU.
  • 10. The composition according to claim 1, wherein the refrigerant further comprises R1234yf.
  • 11. The composition according to claim 10, wherein when the mass % of HFO-1132(E) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf in the refrigerant, and when r=R1234yf/(R1234ze+R1234yf),(1) if 0.2≥r>0, coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments KrLr, LrMr, MrNr, NrBr″, Br″Jr, JrIr, IrHr, HrGr, and GrKr that connect the following 9 points:point Kr (72.0, 0.0, 28.0),point Lr (−0.0618r2−0.0675r+48.612, 0.0618r2+0.0675r+18.088, 33.3),point Mr (−0.0618r2−0.0675r+35.712, 0.0618r2+0.0675r+36.688, 27.6),point Nr (−0.0618r2−0.0675r+28.912, 0.0618r2+0.0675r+51.588, 19.5),point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),point Ir (−13.5r+2.7, 36.5, 13.5r+60.8),point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), andpoint Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082),or on the line segments KrLr, LrMr, MrNr, NrBr″, JrIr, IrHr, and HrGr (excluding point Br″, point Jr, point Gr, and point Kr), the line segments LrMr, MrNr, NrBr″, Br″Jr, JrIr, IrHr, and GrKr are straight lines,coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), andcoordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.00965r2−0.0024r−0.00319)x2+(−0.6153r2+0.0221r−0.0805)x+(11.593r2+10.251r+61.433)),(2) if 1>r>0.2, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments KrLr, LrMr, MrNr, NrBr″, Br″Jr, JrHr, HrGr, and GrKr that connect the following 8 points:point Kr (72.0, 0.0, 28.0),point Lr (−0.0618r2−0.0675r+48.612, 0.0618r2+0.0675r+18.088, 33.3),point Mr (−0.0618r2−0.0675r+35.712, 0.0618r2+0.0675r+36.688, 27.6),point Nr (−0.0618r2−0.0675r+28.912, 0.0618r2+0.0675r+51.588, 19.5),point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), andpoint Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082),or on the line segments KrLr, LrMr, MrNr, NrBr″, JrHr, and HrGr (excluding point Br″, point Jr, point Gr, and point Kr), and the line segments LrMr, MrNr, NrBr″, Br″Jr, JrHr, and GrKr are straight lines, wherein(2-1) if 0.27≥r>0.2,coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), andcoordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, ((0.00965r2−0.0024r−0.00319)x2+(−0.6153r2+0.0221r−0.0805)x+(11.593r2+10.251r+61.433)), and(2-2) if 0.64≥r>0.27,coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, (0.0003861r2−0.0002973r−0.011348)x2+(−0.050193r2+0.038649r+1.1386)x+(1.583r2−1.2189r+4.8167)), andcoordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.011147r2−0.010278r−0.00111674)x2+(−0.8771r2+0.6728r−0.2371)x+(12.661r2+0.7382r+63.924)), and(3) if 1>r>0.64,coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.01138x2+1.1428x+4.685), andcoordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r2−0.0006r−0.0029)x2+(0.0062r2−0.1212r−0.0907)x+(2.1759r2+15.588r+61.137)).
  • 12. The composition according to claim 10, wherein when the mass % of HFO-1132(E) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf in the refrigerant, and when r=R1234yf/(R1234ze+R1234yf), coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments KrLr, LrHr, HrGr, and GrKr that connect the following 4 points:point Kr (72.0, 0.0, 28.0),point Lr (−0.0618r2−0.0675r+48.612, 0.0618r2+0.0675r+18.088, 33.3),point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), andpoint Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082),or on the line segments KrLr, LrHr, and HrGr (excluding point Gr and point Kr), and the line segments LrHr and GrKr are straight lines,wherein(2-1) if 0.27≥r>0.2,coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.0114x2+1.1454x+4.503), andcoordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, ((0.00965r2−0.0024r−0.00319)x2+(−0.6153r2+0.0221r−0.0805)x+(11.593r2+10.251r+61.433)),(2-2) if 0.64≥r>0.27,coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, (0.0003861r2−0.0002973r−0.011348)x2+(−0.050193r2+0.038649r+1.1386)x+(1.583r2−1.2189r+4.8167)), andcoordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.011147r2−0.010278r−0.00111674)x2+(−0.8771r2+0.6728r−0.2371)x+(12.661r2+0.7382r+63.924)), and(2-3) if 1>r>0.64,coordinates (x,y,z) of the points on the line segment KrLr are represented by (x, 100-x-z, −0.01138x2+1.1428x+4.685), andcoordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r2−0.0006r−0.0029)x2+(0.0062r2−0.1212r−0.0907)x+(2.1759r2+15.588r+61.137)).
  • 13. The composition according to claim 10, wherein when the mass % of HFO-1132(E) is x, the mass % of R32 is y, and the mass % of the sum of R1234ze and R1234yf is z, based on the sum of HFO-1132(E), R32, R1234ze, and R1234yf in the refrigerant, and when r=R1234yf/(R1234ze+R1234yf),(1) if 0.2≥r>0, coordinates (x,y,z) in a ternary composition diagram whose first vertex represents HFO-1132(E), second vertex represents R32, and third vertex represents the sum of 1234ze and R1234yf are within the range of a figure surrounded by line segments VrRr, RrSr, SrBr″, Br″Jr, JrIr, and IrVr that connect the following 6 points:point Vr (−4.2328r2+14.847r+17.1, 14.815r2−26.963r+24.2, −10.5822r2+12.116r+58.7),point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, −0.491r2−4.6129r+32.703),point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895), andpoint Ir (−13.5r+2.7, 36.5, 13.5r+60.8),or on the line segments VrRr, RrSr, SrBr″, JrIr, and IrVr (excluding point Br″ and point Jr), and the line segments VrRr, RrSr, SrBr″, Br″Jr, JrIr, and IrVr are straight lines, (2) if 0.27≥r>0.2, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments VrRr, RrSr, SrBr″, Br″Jr, and JrVr that connect the following 5 points:point Vr (−4.2328r2+14.847r+17.1, 14.815r2−26.963r+24.2, −10.5822r2+12.116r+58.7),point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, 0.491r2−4.6129r+32.703),point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165), andpoint Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),or on the line segments VrRr, RrSr, SrBr″, and JrVr (excluding point Br″ and point Jr), and the line segments VrRr, RrSr, SrBr″, Br″Jr, and JrVr are straight lines,(3) if 0.64≥r>0.27, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments VrQr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, and HrVr that connect the following 7 points:point Vr (113.4r2−64.271r+29.887, −64.63r2+23.678r+16.318, −48.77r2+40.5931r+53.795),point Qr (−6.2112r2+15.652r+17.027, 0.7554r2−0.1469r+17.985, 5.4558r2−15.5051r+64.988),point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, 0.491r2−4.6129r+32.703),point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895), andpoint Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701),or on the line segments VrQr, QrRr, RrSr, SrBr″, JrHr, and HrVr (excluding point Br″ and point Jr), and the line segments VrRr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, and HrVr are straight lines, and(4) if 1.0>r>0.64, coordinates (x,y,z) in the ternary composition diagram are within the range of a figure surrounded by line segments OrPr, PrQr, QrRr, RrSr, SrBr″, Br″Jr, JrHr, HrGr, and GrKr that connect the following 9 points:point Or (−3.0864r2+15.617r+40.069, 0.0, 3.0864r2−15.617r+59.931),point Pr (−6.1728r2+21.235r+24.138, 5.0, 6.1728r2−21.235r+70.862),point Qr (8.8889r+18.811, 18.2, −8.8889r+62.989),point Rr (−1.3862r2+7.8917r+16.089, 0.0937r2+0.1466r+36.581, 1.2925r2−8.0383r+47.33),point Sr (−0.3578r2+4.1741r+15.894, −0.1332r2+0.4388r+51.403, 0.491r2−4.6129r+32.703),point Br″ (0, −0.2268r2+0.2922r+51.422, 0.0083r2−0.1392r+82.165),point Jr (0, 0.9705r2−13.268r+39.105, −0.9705r2+13.268r+60.895),point Hr (−0.4195r2−12.988r+24.311, 0.0618r2+0.0675r+17.988, 0.3577r2+12.9205r+57.701), andpoint Gr (−0.1892r2−11.155r+50.918, 0.0, 0.1892r2+11.155r+49.082),or on the line segments OrPr, PrQr, QrRr, RrSr, SrBr″, JrHr, and HrGr (excluding point Or, point Br″, point Jr, and point Gr), the line segments QrRr, RrSr, SrBr″, Br″Jr, and JrHr are straight lines,coordinates (x,y,z) of the points on the line segment OrPr are represented by (x, 100-x-z, (0.0077r2−0.014r−0.004)x2+(−0.7731r2+1.6132r−0.5209)x+(19.074r2−47.72r+87.771)),coordinates (x,y,z) of the points on the line segment PrQr are represented by (x, 100-x-z, (−0.179r2+0.2997r−0.2085)x2+(11.347r2−17.461r+12.133)x+(−180.86r2+243.12r−107.55)), andcoordinates (x,y,z) of the points on the line segment HrGr are represented by (x, 100-x-z, (0.0003r2−0.0006r−0.0029)x2+(0.0062r2−0.1212r−0.0907)x+(2.1759r2+15.588r+61.137)).
  • 14. The composition according to claim 1, for use as a working fluid for a refrigerating machine, wherein the composition further comprises a refrigeration oil.
  • 15. The composition according to claim 1, for use as an alternative refrigerant for R410A.
  • 16. Use of the composition according to claim 1 as an alternative refrigerant for R410A.
  • 17. A refrigerating machine comprising the composition according to claim 1 as a working fluid.
  • 18. 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 (2)
Number Date Country Kind
2019-114163 Jun 2019 JP national
2020-012937 Jan 2020 JP national
Continuations (1)
Number Date Country
Parent PCT/JP2020/024132 Jun 2020 US
Child 17551757 US