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High volumetric-efficiency thermally integrated systems for capturing a target gas from a process gas stream include a monolithic body and a distribution system. The monolithic body includes a first plurality of channels and a second plurality of channels each having sorbent surfaces that reversibly

High volumetric-efficiency thermally integrated systems for capturing a target gas from a process gas stream include a monolithic body and a distribution system. The monolithic body includes a first plurality of channels and a second plurality of channels each having sorbent surfaces that reversibly adsorb the target gas. The channels are in thermal communication such that heat from an exothermic adsorption of target gas in one plurality of channels is used by an endothermic desorption of target gas from the other plurality of channels. Methods for separating a target gas from a process gas stream include switching the high volumetric-efficiency thermally integrated systems between a first state and a second state. In the first state, the first plurality of channels undergoes desorption while the second undergoes adsorption. In the second state, the second plurality of channels undergoes desorption while the first plurality undergoes adsorption.

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1. A high volumetric-efficiency thermally integrated system for capturing a target gas from a process gas stream, comprising: a monolithic body and a distribution system, wherein: the monolithic body comprises: a first monolith comprising a first plurality of discrete channels through the first mono

1. A high volumetric-efficiency thermally integrated system for capturing a target gas from a process gas stream, comprising: a monolithic body and a distribution system, wherein: the monolithic body comprises: a first monolith comprising a first plurality of discrete channels through the first monolith and parallel to a first flow axis of the monolithic body; anda second monolith adjacent to the first monolith and comprising a second plurality of discrete channels through the second monolith and parallel to a second flow axis of the monolithic body;the first plurality of discrete channels and the second plurality of discrete channels are arranged such that individual channels of the first plurality of discrete channels are in thermal communication with individual channels of the second plurality of discrete channels;the first plurality of discrete channels are not in fluidic communication with any of the second plurality of discrete channels;first partition walls of the first plurality of discrete channels and second partition walls of the second plurality of discrete channels comprise sorbent surfaces of a sorbent material that reversibly adsorbs the target gas from the process gas stream;the high volumetric-efficiency thermally integrated system is reversibly switchable between: a first state in which the distribution system simultaneously supplies the process gas stream to the second plurality of discrete channels and a purge stream to the first plurality of discrete channels, the target gas being adsorbed from the process gas stream in the second plurality of discrete channels while being desorbed into the purge stream in the first plurality of discrete channels; anda second state in which the distribution system simultaneously supplies the process gas stream to the first plurality of discrete channels and the purge stream to the second plurality of discrete channels, the target gas being adsorbed from the process gas stream in the first plurality of discrete channels while being desorbed into the purge stream in the second plurality of discrete channels. 2. The high volumetric-efficiency thermally integrated system of claim 1, wherein the first flow axis is perpendicular to the second flow axis. 3. The high volumetric-efficiency thermally integrated system of claim 1, wherein the distribution system comprises switchable valves that switch the high-volumetric-efficiency thermally integrated system from the first state to the second state or from the second state to the first state, such that the high volumetric-efficiency thermally integrated system is a static system. 4. The high volumetric-efficiency thermally integrated system of claim 1, further comprising a rotational mechanism that rotates the monolithic body about a rotational axis perpendicular to the first flow axis and the second flow axis such that the high volumetric-efficiency thermally integrated system is a dynamic system and, by the rotation of the monolithic body about the rotational axis, switches the high-volumetric-efficiency system from the first state to the second state or from the second state to the first state. 5. The high volumetric-efficiency thermally integrated system of claim 1, wherein: the target gas is selected from the group consisting of carbon dioxide and hydrogen sulfide; andthe sorbent material is selected from the group consisting of zeolites, zeolitic imadazole frameworks, metallic organic frameworks, carbon, mesoporous aluminas, mesoporous silicas, amine functionalized variants thereof, amino-group functionalized variants thereof, and combinations thereof. 6. The high volumetric-efficiency thermally integrated system of claim 5, wherein the sorbent material is amine functionalized or amino-group functionalized. 7. The high volumetric-efficiency thermally integrated system of claim 5, wherein the sorbent material is selective to at least one of carbon dioxide or hydrogen sulfide. 8. The high volumetric-efficiency thermally integrated system of claim 1, wherein: in the first state, the target gas in the process gas stream adsorbs onto the sorbent material of the second partition walls and heat from the adsorption benefits a desorption of the target gas from the sorbent material of the first partition walls into the purge gas stream in the first plurality of discrete channels; andin the second state, the target gas in the process gas stream adsorbs onto the sorbent material of the first partition walls and heat from the adsorption benefits a desorption of the target gas from the sorbent material of the second partition walls into the purge gas stream in the second plurality of discrete channels. 9. The high volumetric-efficiency thermally integrated system of claim 1, wherein all of the individual discrete channels of the monolithic body are simultaneously dedicated either to conducting adsorption of the target gas from the process gas stream onto sorbent material with liberation of heat or to conducting desorption of the target gas from sorbent material while benefiting from the heat liberated from the simultaneous adsorption. 10. The high volumetric-efficiency thermally integrated system of claim 1, further comprising a first exhaust system and a second exhaust system. 11. The high volumetric-efficiency thermally integrated system of claim 10, wherein the distribution system comprises switchable valves that switch the high-volumetric-efficiency thermally integrated system from the first state to the second state or from the second state to the first state. 12. The high volumetric-efficiency thermally integrated system of claim 11, wherein: in the first state, the first exhaust system receives the process gas stream less any amount of target gas adsorbed in the monolithic body and the second exhaust system receives the purge gas stream containing target gas desorbed from the monolithic body; andin the second state, the second exhaust system receives the process gas stream less any amount of target gas adsorbed in the monolithic body and the first exhaust system receives the purge gas stream containing target gas desorbed from the monolithic body. 13. The high volumetric-efficiency thermally integrated system of claim 10, further comprising a rotational mechanism that rotates the monolithic body about a rotational axis perpendicular to the first flow axis and the second flow axis and, by the rotation of the monolithic body about the rotational axis, switches the high-volumetric-efficiency thermally integrated system from the first state to the second state or from the second state to the first state. 14. The high volumetric-efficiency thermally integrated system of claim 13, wherein: in both the first state and the second state, the first exhaust system receives the process gas stream less any amount of target gas adsorbed in the monolithic body; andin both the first state and the second state, the second exhaust system receives the purge gas stream containing target gas desorbed from the monolithic body. 15. The high volumetric-efficiency thermally integrated system of claim 10, wherein at least one of the first exhaust system or the second exhaust system comprises a mechanism for collecting the target gas from the purge gas stream. 16. A high volumetric-efficiency thermally integrated system for capturing a target gas from a process gas stream, comprising: a monolithic body and a distribution system, wherein: the monolithic body comprises: a first plurality of discrete channels through the monolithic body and parallel to a first flow axis of the monolithic body; anda second plurality of discrete channels through the monolithic body and parallel to a second flow axis of the monolithic body;the first plurality of discrete channels and the second plurality of discrete channels are arranged such that individual channels of the first plurality of discrete channels are in thermal communication with individual channels of the second plurality of discrete channels;the first plurality of discrete channels are not in fluidic communication with any of the second plurality of discrete channels;the monolithic body is constructed from a sorbent material that reversibly adsorbs the target gas from the process gas stream; andthe distribution system simultaneously supplies the process gas stream to one of the first plurality of discrete channels or the second plurality of discrete channels while supplying a purge gas stream to the other of the first plurality of discrete channels and the second plurality of discrete channels;all of the individual discrete channels of the monolithic body are simultaneously dedicated either to conducting adsorption of the target gas from the process gas stream onto sorbent material with liberation of heat or to conducting desorption of the target gas from sorbent material while benefiting from the heat liberated from the simultaneous adsorption. 17. The high volumetric-efficiency thermally integrated system of claim 16, wherein the first flow axis is perpendicular to the second flow axis. 18. The high volumetric-efficiency thermally integrated system of claim 16, wherein: the target gas is selected from the group consisting of carbon dioxide and hydrogen sulfide; andthe sorbent material is selected from the group consisting of zeolites, zeolitic imidazole frameworks, metallic organic frameworks, carbon, mesoporous aluminas, mesoporous silicas, amine functionalized variants thereof, amino-group functionalized variants thereof, and combinations thereof. 19. The high volumetric-efficiency thermally integrated system of claim 16, wherein: the high volumetric-efficiency thermally integrated system is reversibly switchable between a first state in which the distribution system simultaneously supplies the process gas stream to the second plurality of discrete channels and a purge stream comprising a purge concentration of the target gas less than the process concentration to the first plurality of discrete channels and a second state in which the distribution system simultaneously supplies the process gas stream to the first plurality of discrete channels and the purge stream to the second plurality of discrete channels. 20. The high volumetric-efficiency thermally integrated system of claim 19, wherein: in the first state, the target gas in the process gas stream adsorbs onto the sorbent material of the second partition walls and heat from the adsorption benefits a desorption of the target gas from the sorbent material of the first partition walls into the purge gas stream in the first plurality of discrete channels; andin the second state, the target gas in the process gas stream adsorbs onto the sorbent material of the first partition walls and heat from the adsorption benefits a desorption of the target gas from the sorbent material of the second partition walls into the purge gas stream in the second plurality of discrete channels. 21. The high volumetric-efficiency thermally integrated system of claim 19, further comprising a first exhaust system and a second exhaust system, and wherein: the distribution system comprises switchable valves that switch the high-volumetric efficiency thermally integrated system from the first state to the second state or from the second state to the first state;in the first state, the first exhaust system receives the process gas stream less any amount of target gas adsorbed in the monolithic body and the second exhaust system receives the purge gas stream containing target gas desorbed from the monolithic body; andin the second state, the second exhaust system receives the process gas stream less any amount of target gas adsorbed in the monolithic body and the first exhaust system receives the purge gas stream containing target gas desorbed from the monolithic body. 22. The high volumetric-efficiency thermally integrated system of claim 19, further comprising: a rotational mechanism that rotates the monolithic body about a rotational axis perpendicular to the first flow axis and the second flow axis and, by the rotation of the monolithic body about the rotational axis, switches the high-volumetric efficiency thermally integrated system from the first state to the second state or from the second state to the first state;a first exhaust system; anda second exhaust system, and wherein: in both the first state and the second state, the first exhaust system receives the process gas stream less any amount of target gas adsorbed in the monolithic body; andin both the first state and the second state, the second exhaust system receives the purge gas stream containing target gas desorbed from the monolithic body. 23. The high volumetric-efficiency thermally integrated system of claim 1, wherein each of the first monolith and the second monolith comprises a ceramic material.