As the supply of easily transportable liquid fossil fuels gets more expensive to recover, industries and governments will increasingly have to rely on other materials for chemical feedstocks and energy. One alternative is the use of synthesis gas (i.e., a mixture of carbon monoxide and molecular hydrogen) to make chemical feedstocks and supply energy carriers. The components of synthesis gas, brought together at the proper concentration ratios, temperatures, and pressures, can produce a variety of chemical feedstocks based on the Fischer-Tropsh synthesis including methanol, acetic acid, ethylene, paraffins, aromatics, olefins, ethylene glycol, and liquid fuels such as ethanol, propanol, butenol, dimethyl ether, kerosene, diesel and gasoline, among other hydrocarbon products. Synthesis gas may also be combusted directly for heating, or in a heat engine for producing electric or mechanical power, or in a solid oxide fuel cell for producing electric power. The molecular hydrogen component of synthesis gas may be used as a fuel for transportation, heating, and electricity generation that combusts in oxygen with only environmentally benign water vapor (i.e., steam) as the exhaust gas. Furthermore, synthesis gas production may involve various combinations of chemical feedstock and power co-production or co-generation.
Synthesis gas can be generated from natural gas (e.g., CH4) coal, and biomass, materials that are widely available. Synthesis gas is produced from methane by steam reforming. The process involves the mixing of natural gas (e.g., methane) and water vapor at about 800° C. under pressures of about 1 atm, and generally in the presence of suitable catalysts, such as nickel. When a fuel such as methane is steam reformed, the thermochemical energy content of the resulting hydrogen and carbon monoxide is actually greater than that of the parent fuel. This is because reforming is endothermic, and some of the external heat supplied to a steam reforming reactor is channeled into converting additional hydrocarbons into hydrogen and carbon monoxide. Steam reforming can be described chemically by the formula:
CH4+H2O→CO+3H2 (1a)
Quantifying the additional energy of the reformation products, the enthalpy of combustion of CH4 is about −800 kJ/mol, while the enthalpy of combustion of one mole of CO plus 3 moles of H2 is −1025 kJ/mol at 1000° K.
Water vapor is also used to generate synthesis gas from coal in the water-gas reaction. The water-gas reaction involves exposing the coal C(s) to high temperature water vapor (e.g., 800° C.) to produce the synthesis gas:
C(s)+H2O→CO+H2 (1b)
When energy generation is the principal focus, the carbon monoxide component can be further oxidized to carbon dioxide (CO2) to generate additional energy. Because carbon dioxide is a known greenhouse gas, its sequestration rather than emission into the atmosphere may be highly desirable.
For producing synthesis gas from either natural gas, coal or other hydrocarbon feedstocks, such as biomass, a successful process must supply a regulated amount of water vapor at high temperature. High temperature water vapor is typically a reaction product from both feedstock generation and energy supply operations (e.g., the combustion of H2 produces water vapor). Thus, the efficiencies of synthesis gas production processes would be increased significantly if the water vapor could be easily separated from other reaction products at elevated temperatures, and recycled back into making more synthesis gas. A recycling process that separates water vapor from carbon dioxide would also have application in apparatuses and processes for carbon sequestration. For many hydrocarbon combustion processes, the reaction products are energy, water vapor, and carbon dioxide. An apparatus that could separate some of the combustion energy and water vapor from the carbon dioxide could provide useful work in addition to concentrating carbon dioxide for sequestration.
Unfortunately, at the temperatures involved, conventional water separation and purification equipment involving organic polymer membranes are unsuitable. Thus, there is a need for new water vapor separation/purification apparatuses, systems and processes that are compatible with the processes of generating synthesis gas.
Embodiments of the invention include apparatuses for separating water vapor from a water-vapor containing gas mixture. The apparatuses may include a mixed ion conducting membrane having at least a portion of one surface exposed to the water-vapor containing gas mixture and at least a portion of a second surface, that is opposite the first surface, that is exposed to a second gas mixture with a lower partial pressure of water vapor. The membrane may include at least one non-porous, gas-impermeable, solid material that can simultaneously conduct oxygen ions and protons. At least some of the water vapor from the water-vapor containing gas mixture is selectively transported through the membrane to the second gas mixture.
Embodiments of the invention also include methods of separating water vapor from a water-vapor containing gas mixture. The methods may include the step of providing a mixed ion conducting membrane that has at least one non-porous, gas-impermeable, solid material that can simultaneously conduct oxygen ions and protons. The method may also include exposing a first surface of the membrane to the water-vapor containing gas mixture and a second, opposite surface of the membrane to a second gas mixture with a lower partial pressure of water vapor. At least some of the water vapor from the water-vapor containing gas mixture is selectively transported through the membrane to the second gas mixture.
Embodiments of the invention still further include methods of concentrating carbon dioxide in a carbon dioxide and water vapor containing gas mixture. The methods may include the step of providing a mixed ion conducting membrane having at least one non-porous, gas-impermeable, solid material that can simultaneously conduct oxygen ions and protons and is impermeable to carbon dioxide. The methods may also include the steps of exposing a first surface of the membrane to the carbon dioxide and water-vapor containing gas mixture and a second, opposite surface of the membrane to a second gas mixture having a lower partial pressure of water vapor, and concentrating the carbon dioxide in the carbon dioxide and water vapor containing gas mixture by selectively transporting at least some of the water vapor to the second gas mixture.
Additional embodiments and features are set forth in part in the description that follows, and in part will become apparent to those skilled in the art upon examination of the specification or may be learned by the practice of the invention. The features and advantages of the invention may be realized and attained by means of the instrumentalities, combinations, and methods described in the specification.
A further understanding of the nature and advantages of the present invention may be realized by reference to the remaining portions of the specification and the drawings wherein like reference numerals are used throughout the several drawings to refer to similar components. In some instances, a sublabel is associated with a reference numeral and follows a hyphen to denote one of multiple similar components. When reference is made to a reference numeral without specification to an existing sublabel, it is intended to refer to all such multiple similar components.
The invention relates to apparatuses, systems, and methods for separating water vapor (a.k.a. “steam”) from a water-vapor containing gas mixture with a mixed ion conducting (MIC) membrane. The membrane includes a solid, non-porous, and gas-impermeable material that can simultaneously conduct oxygen ions and protons. Oxygen ions (O2−) donated from water molecules in the water-vapor containing gas mixture fill exposed oxygen vacancies on a surface of the membrane. At the same time, the hydrogen ions (or equivalently, protons) from the water molecule fill sites near the oxygen ions in the membrane lattice. Because the oxygen vacancies and protons have the same type of charge (positive) they can move in opposite directions across the interior bulk of the membrane to opposite surfaces (i.e., ambipolar diffusion).
When the positive hydrogen ions arrive at a surface opposite the one exposed to the water-vapor containing gas mixture, they can recombine with an oxygen ion to make a neutral water molecule. This water molecule may then be released at the opposing surface to join a second gas mixture that has a lower concentration of water vapor. The net result is that the water molecule migrates across the membrane from one gas mixture to another. However, because the membrane is non-porous and “gas-impermeable” other gases such as nitrogen, methane, carbon monoxide, carbon dioxide, cannot also migrate across the MIC membrane in substantial amounts. This makes the membrane highly-selective for separating water vapor from other components of the gas mixture.
In addition, the membrane has other characteristics of a ceramic that make it useful for water vapor separation (and purification) in high-temperature synthesis gas production processes. Ceramic steam permeable membranes, unlike plastics and other organic polymers, have melting points that are above the temperatures needed for synthesis gas production from the reaction of water vapor with natural gas or coal. This allows the in-situ recycling of high temperature water vapor during processes of making and using synthesis gas for energy and/or chemical feedstocks.
Exemplary Water Vapor Transport Membranes
The membrane 102 may be made from one or more mixed ion conducting materials, such as a perovskite ceramic. Suitable perovskite ceramics may include those that have a general formula ABO3, where A is selected from the group consisting of calcium, strontium, barium, lanthanum, a lanthanide series metal, an actinide series metal, and a mixture thereof, and B is selected from a group consisting of zirconium, cerium, yttrium, titanium, transition metals and mixtures thereof. Additional examples of mixed ion conducting materials that may be used in embodiments of the invention include BaZr1-xYxO3-6, where x is less than 0.5, and δ is 0 to x/2. Additional details of these and other mixed ion conducing materials are described in U.S. Pat. No. 7,045,231 by Coors, titled “DIRECT HYDROCARBON REFORMING IN PROTONIC CERAMIC FUEL CELLS BY ELECTROLYTE STEAM PERMEATION” the entire contents of which are herein incorporated by reference for all purposes.
Because the membrane is a mixed ion-conducting membrane that only requires the migration of ions (e.g., protons and positively charged oxygen vacancies) the membrane does not need an external electric current to transport the water vapor. In fact, the electrical conductivity of the membrane can be relatively low compared with the ion conductivity, which can account for about 90% to about 99% of the total conductivity of the membrane.
The water-vapor containing gas mixture 104 may include a variety of additional gases in addition to the water vapor. For example, the gas mixture 104 may also include carbon monoxide, carbon dioxide, molecular nitrogen, nitrogen oxides, sulfur oxides, molecular oxygen, volatile organic compounds (e.g., methane, ethane, propane, aromatics, etc.), ammonia, and volatile organic oxide compounds (e.g., methanol, ethanol, etc.) and inert gases, and mixtures thereof, among other kinds of gases. In a specific example, the gas mixture 104 may include hydrocarbon combustion products that are primarily carbon dioxide and water vapor. The second gas mixture 106 may include some or all of the same gases listed above for the water-vapor containing gas mixture 104. It may include one or more of a kind of gas not listed above. The second gas mixture 106 may include water vapor, but at a concentration level (PH2O) that is less than the water-vapor concentration level for the first gas mixture 104.
Referring now to
The support substrate 108 may be made from one or more inert materials that permit the diffusion of gases at the temperatures and pressures used in the water vapor transport operations of the membrane 102. The support may be made from an ionically conducting material, an electron-conducting material, a mixed oxide conducting material, and/or the same material as the mixed ion conducting membrane 102. The substrate 108 may be made from a material having thermal expansion properties that are compatible with the membrane 102, and other material layers in contact with the substrate. The substrate 108 may also be made from materials that do not adversely chemically react with the other layers or the gas mixtures under process operating conditions. Some specific examples materials that may be used as support substrate 108 include without limitation alumina (Al2O3), silica (SiO2), ceria (CeO2), zirconia (ZrO2), titania (TiO2), magnesium oxide (MgO), and mixtures thereof. The substrate may also be doped with one or more alkaline earth metals, lanthanum, lanthanide series metals, and mixtures thereof. The support substrate may also contain catalyst materials for enhancing the kinetics of chemical reactions.
It should also be appreciated that the positions of the membrane 102 and support substrate 108 may be reversed with respect to the gas mixtures.
Through a process of ambipolar diffusion, the oxygen vacancies and protons migrate in opposite directions through the membrane in tube 202. Once at the membrane surface opposite the one facing region 208 inside the inner conduit, the protons and oxygen ions can recombine back into water molecules and escape into the second gas mixture in region 206 between the inner and outer conduits. Thus, the water vapor from the gas mixture inside conduit tube 202 is selectively transported across the conduit to the second gas mixture. It should be noted that the water molecules do not migrate intact through the inner conduit 202, but instead dissociate and migrate as ions across the mixed ion conducting membrane that makes up at least part of the conduit. Thus, while the oxygen and hydrogen units move from the second region 208 to the first region 206, they may be recombined into different water molecules when they are released into the first region 206. This should cause no differences in the physical and chemical properties of the water vapor that has migrated through the membrane.
It should also be appreciated that the migration of the water vapor from the second inner region 208 to the first region 206 between the inner and outer conduits can be reversed. For example, if the concentration (PH2O) of water vapor in first region 206 increases beyond the concentration of water vapor in the second inner region 208, the water molecules will migrate from the first region 206 to the second region 208. In another example, the compositions of the gas mixtures in the two regions 206 and 208 may be switched so the water containing gas mixture is in the first region 206 between the inner and outer conduits and the second gas mixture occupies the second region 208 in the inner conduit. In this case also, the water vapor will migrate from the first region 206 to the second region 208 where the concentration of water vapor is lower.
Additional shapes for the conduit beyond a circular cross-sectional profile are also contemplated. For example, the inner and outer conduits 202 and 204 may have an elliptical, triangular, square, rectangular, trapezoidal, hexagonal, or octagonal cross-sectional profile, among other shapes.
Just as the water vapor moves in accordance with a concentration gradient from regions of high concentration to low concentration, heat can also migrate across the mixed ion conducting membrane from regions of higher temperature to lower temperature. Thus, the mixed ion conducting membrane may act as both a water vapor and heat transport material. The combination makes the membrane well suited for use in high temperature chemical reaction processes (e.g., Fischer-Tropsch reactions) where high temperature water may act as both a reactant and product at different steps of the reaction. The membrane is also useful for recycling high temperature water vapor that hasn't been consumed in the reaction process. The membrane is still further useful for taking high temperature water vapor generated in an organic combustion process for heat and/or energy and providing it directly to a chemical synthesis that requires high temperature water vapor (e.g., a synthesis gas production process such as steam reforming and the water-gas reaction of coal).
For scaled processes that circulate large volumes of gas mixtures, it may sometimes be advantageous to design conduits that increase the surface area to volume ratio between the gases and the surfaces of the mixed ion conducting membrane.
Embodiments of mixed ion conducting membranes may be incorporated into multilayer sheets or conduits that facilitate chemical reactions to produce products such a synthesis gas.
The catalyst layer 406 may include a material that catalyzes a reaction between the transported water molecules and other reactants exposed to the catalyst material. For example, the catalyst layer may include a catalyst material such as nickel or other catalytically active material that catalyzes the reaction of methane and water vapor in a steam reforming reaction to make molecular hydrogen and carbon monoxide.
In the embodiment shown in
The water vapor that was transported through the mixed ion conducting membrane in tubes 502 enters the reactor chamber 504 from the tube surfaces exposed to the chamber. A reactant gas 512 is supplied to the chamber 504 via reactant gas supply tube 514, and the gas 512 mixes and reacts with the water vapor permeating through the tubes 502. The products 516 of the reaction of reactant gas 512 and the water vapor are removed from the reactor chamber 504 via reaction product outlet port 518.
Exemplary Methods of Transferring Heat and Steam
Referring now to
A first surface of the membrane may exposed to a first, water-vapor containing gas mixture 604, while a second surface that is on an opposite side of the membrane as the first surface may be exposed to a second gas mixture 606 that has a lower concentration of water vapor (PH2O) than the first gas mixture. The two different gas mixtures set up a concentration gradient for the water vapor, which selectively permeates across the membrane 608 from an area of higher concentration (i.e., the first gas mixture) to lower concentration (i.e., the second gas mixture).
While the mixed ion conducting membranes may be permeable only to water vapor, water vapor permeation can be used to concentrate other gases in the gas mixture. For example,
As the water vapor is depleted from the water-vapor and carbon dioxide containing gas mixture, the level of CO2 in the mixture becomes more concentrated 708. For starting gas mixtures that consist mostly of carbon dioxide and water vapor (e.g., exhaust gas from hydrocarbon combustion) the final gas mixture after the water vapor permeation will consists mostly of carbon dioxide. The concentrated carbon dioxide gas mixture may then be stored 710 instead of being released into the atmosphere. Thus, for hydrocarbon combustion processes that produce large amounts of carbon dioxide and water vapor, the mixed ion conduction membranes provide a way to separate and sequester the concentrated carbon dioxide.
Mixed Ion Conducting Membranes in Fuel Cells
The precise delivery of steam into the inlet fuel channel using conventional approaches is extremely challenging. The difficulty has to do with making the steam, injecting it into the fuel at high temperature and in the correct ratio, and controlling the water/steam cycle. A 5 kW SOFC operating at 90% fuel utilization consumes about 25 moles of natural gas per hour. The amount of (deionized) water required to reform this quantity of methane is about half a kilogram (half a liter) per hour, or almost 1200 gallons per year. A tank large enough to store water for just one month of operation (100 gallons) would be larger than the entire fuel cell system. In order for water to be delivered to the system by pipeline, additional cost and complexity are encountered.
On the other hand, the three moles of hydrogen produced on the right-hand-side of Eq. (1) ultimately combines with oxygen from the air at the fuel cell anode to make three moles of steam—more than enough to sustain continuous reforming. Some fuel cell designers envision blending a portion of the anode exhaust gas stream back into the incoming fuel stream. But recirculating and controlling the flow of only a portion of a very hot gas stream is not a trivial undertaking. An alternative design approach is to cool the exhaust stream below the boiling point and condense out the water. This approach requires reheating the water to make steam and then re-injecting it into the incoming fuel stream.
Mixed Ion Conducting Ceramic Materials and Water Vapor Permeation
Certain oxide ceramic materials with intrinsic and extrinsic oxygen ion vacancies, are known to take up and release water vapor. The best known and most extensively studied examples are yttrium-doped barium cerate, BaCe0.9Y0.1O3-6 (BCY10) and yttrium-doped barium zirconate BaZr0.9Y0.1O3-6 (BZY10). Solid state hydration occurs by the Wagner reaction:
H2O(g)+V0••+O0x⇄2 OH0• (2)
A water molecule enters an oxygen vacancy at the surface, donating two protons to the lattice. The quasi-free protons reside near oxygen ions, hoping from lattice site to lattice site by the Grotthus mechanism. The oxygen ion sublattice remains stationary. This reaction occurs at any free surface of the ceramic exposed to water vapor, and has an equilibrium constant:
The Wagner reaction, Eq. 2, is reversible, so either hydration or dehydration may occur depending on the local partial pressure of water vapor and the value of the equilibrium constant. When the pressure of water vapor is low, the ceramic dehydrates, generating oxygen vacancies by the reverse of Eq. 2. Electron transfer does not take place with this reaction, so no electrodes are required. In some instances, the reaction kinetics may be improved by the application of a metal coating, such as porous platinum, on the ceramic. Whenever a partial pressure gradient of water vapor exists across the mixed ion conducting ceramic membrane, oxygen ion vacancies and protons are free to migrate in opposite directions by ambipolar diffusion. This is possible since both species are positively charged. The chemical diffusion of water by this mechanism may be derived as:
where DOH
Although molecular “steam” does not diffuse through the electrolyte membrane per se—this is an entirely solid-state process—steam is, nonetheless, transported across the membrane from the moist atmosphere on one side of the membrane (where hydration occurs) to the dryer atmosphere on the other (where dehydration occurs). For BCY10 and BZY10, a critical temperature range exists between about 600° C. and 1000° C., where the degree of hydration goes from the saturation limit (X→1) at low temperatures, to complete dehydration at high temperatures (X→0). The ambipolar diffusivity of steam falls between DV
Whenever hydrocarbon molecules, carbon monoxide, or even solid carbon are present on one side a steam permeable membrane, water vapor at the surface of the ceramic is rapidly consumed in reforming and shift reactions, resulting in a low pH2O. When a higher water vapor partial pressure exists on the other side of the membrane, steam permeates through the membrane, driven by the steam pressure gradient. The steam partial pressure in SOFC exhaust is typically between 0.4 to 0.6. This provides a large driving force for steam permeation to the relatively dry conditions that pertain in the incoming fuel.
Steam permeation provides an efficient mechanism for reforming hydrocarbon fuels directly. Furthermore, the effect is self-regulating. Once the fuel and/or carbon monoxide begin to be depleted by reacting with available water vapor, the water vapor partial pressure in the fuel channel will rise, the concentration gradient across the membrane will decrease, and the steam permeation flux will diminish accordingly. This is a localized effect that occurs along the length of the channel so that as fuel is reformed while it flows down the channel, the flux of water vapor is proportionately reduced.
Bulk Hydration Considerations
Equation 4 shows that the chemical diffusion of water depends strongly on the degree of hydration, X. The degree of hydration may only be known precisely at the surfaces in equilibrium with the gas phase. The concentration profile of protonic defects across the ceramic membrane may not be known, but it is possible to model the steady state steam permeation flux by integrating the flux equation with {tilde over (D)}H
2Δ└OH0•┘=−Δ└V0••┘=Δ[H2O]bulk (5)
Using Eq. (5) with site and charge balance constraints, the protonic defect concentration can be determined by:
where K′=KHpH
Steam Permeation Flux Model
Fick's first law for steady-state diffusion through the membrane gives the effective steam permeation flux:
a non-linear differential equation, which may be integrated as long as D depends only on concentration. The concentration, C, is equivalent to the bulk water concentration, [H2O]bulk. It is related to X by Eq. (7). The flux integral may be written as:
Δx is the electrolyte membrane thickness, and the subscripts, I and II, refer to the moist and dry surfaces, respectively. Substituting in Eq. (4) with variable substitution gives:
where: γ=2[Y′Ce];
a=(DOH
b=2D VV
Eq. (10) may be integrated in closed form to give:
Hydration Isobars and Boundary Conditions
The equilibrium hydration constant, KH, which determines CI and CII, depends on temperature. The enthalpy and entropy of hydration are related to KH by:
and have been determined for several protonic ceramic materials by fitting Eq. (6) to a curve of specimen weight versus temperature at constant pH2O. An alternative technique for determining degree of hydration, using dilatometry to measure lattice expansion, may also be used. Enthalpy and entropy data for BCY10 and BZY10 are given in Table 1.
The fourth column reflects the degree of hydration in the hydration limit (at low temperature) with respect to the extrinsic dopant concentration. Kreuer found that it was not possible to fill all of the vacancies upon decreasing temperature. But in our dilatometry measurements, we found that the amount of “frozen in” hydration at room temperature was actually about 25% lower than what was observed at 600° C. by dilatometry. We presumed that this was due to a lower solubility of water in the low temperature phases. The degree of hydration versus temperature, using Eq. (6), and the thermodynamic values from Table 1, at a constant water vapor pressure of 0.025 atm, is shown in
The dotted line below 500° C. reflects that the Kreuer model, which predicts constant hydration at decressing temperatures once the terminal hydration is reached, does not fit our dilatometry data. It may be observed that the temperatures at which the equilibrium constants, KH, are equal to unity for BZY10, BCY10 (Kreuer) and BCY10 (Coors, et al.); are 600, 700 and 800° C., respectively. This is the inflection point of the curves, where hydration and dehydration occur at equal rates, and is the characteristic dehydration temperature, Tc. Qualitatively, in order to maximize temperature at which steam permeation is greatest, it is desirable to maximize Tc. The discrepancy between Kreuer's curve and ours is not simply due to a translation in the vertical direction, since both curves are asymptotic to the horizontal axis at large T. The uncertainty in these empirical data underscores the need for gaining a better understanding of the thermodynamics of Wagner hydration and dehydration.
Steam Permeation Flux
Self-diffusivities of oxygen ion vacancies and protonic defects were measured by Kreuer on single crystal BCY10. We obtained quite different values on polycrystalline BCY10 by partial conductivity measurements in dry and moist helium. The values are shown in Table 2.
A plot of the steam permeation flux versus temperature based on Eq. 11 is shown in
Several interesting observations may be made. First, the predicted steam flux is quite substantial above 700° C., even for this relatively thick membrane. In each case, the steam flux increases from some small value, due to the exponential increase in the ionic self-diffusivities, to a maximum, beyond which, the bulk concentration of water decreases due to dehydration. This peak for BCY10 occurs at 1175° C., using Kreuer hydration parameters, and at 1025° C. using our parameters. For BZY10, the peak occurs at 1350° C. (which is off the plot.) Second, the quantitative difference in predicted steam flux in BCY10, using Kreuer's parameters and ours, is small below about 900° C. This is rather surprising, given the wide discrepancy of measured parameters. Finally, the difference in steam flux between BCY10 and BZY10 below 900° C. is also slight. The three plots only diverge significantly above 900° C., where the different dehydration temperatures become important. Protonic materials with greater self diffusivities may be developed in order to obtain still higher steam fluxes.
At 850° C., a steam flux of 0.53 μmol/cm2 sec is predicted from
Protonic ceramic membranes have been shown to work as electrochemical devices such as hydrogen sensors, protonic ceramic fuel cells (PCFCs), galvanic hydrogen separators, and combined hydrogen and power (CH2P) devices, among other types of devices. In most of these applications, the oxygen partial pressure is high on at least one side of the membrane. In high oxygen pressure, these materials typically have a large hole defect contribution at elevated temperature, with a concomitant reduction in oxygen ion vacancies. The ambipolar steam permeation model described in this report treats only oxygen ion vacancies and protons as significant charge carriers.
Having described several embodiments, it will be recognized by those of skill in the art that various modifications, alternative constructions, and equivalents may be used without departing from the spirit of the invention. Additionally, a number of well known processes and elements have not been described in order to avoid unnecessarily obscuring the present invention. Accordingly, the above description should not be taken as limiting the scope of the invention.
Where a range of values is provided, it is understood that each intervening value, to the tenth of the unit of the lower limit unless the context clearly dictates otherwise, between the upper and lower limits of that range is also specifically disclosed. Each smaller range between any stated value or intervening value in a stated range and any other stated or intervening value in that stated range is encompassed. The upper and lower limits of these smaller ranges may independently be included or excluded in the range, and each range where either, neither or both limits are included in the smaller ranges is also encompassed within the invention, subject to any specifically excluded limit in the stated range. Where the stated range includes one or both of the limits, ranges excluding either or both of those included limits are also included.
As used herein and in the appended claims, the singular forms “a”, “an”, and “the” include plural referents unless the context clearly dictates otherwise. Thus, for example, reference to “a process” includes a plurality of such processes and reference to “the ceramic” includes reference to one or more ceramics and equivalents thereof known to those skilled in the art, and so forth.
Also, the words “comprise,” “comprising,” “include,” “including,” and “includes” when used in this specification and in the following claims are intended to specify the presence of stated features, integers, components, or steps, but they do not preclude the presence or addition of one or more other features, integers, components, steps, acts, or groups.
This application claims the benefit of U.S. Provisional Patent Application No. 60/754,751 filed Dec. 28, 2005, entitled “RECOVERY OF STEAM FROM SOFC EXHAUST USING A PROTONIC CERAMIC MEMBRANE”, the entire contents of which are herein incorporated by reference for all purposes.
Number | Date | Country | |
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60754751 | Dec 2005 | US |