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Appendix A Work in Depressurizing and Pressurizing Adsorbent Beds In this appendix, we develop the equations for the reversible work used to depressurize and pressurize an adsorbent bed. We restrict our analysis to the following three cases: 1. Depressurization of an adsorbent bed with uniform initial mole fraction y = yB. 2. Depressurization of an adsorbent bed with uniform initial mole fraction y = 0. 3. Pressurization of an adsorbent bed with uniform initial mole fraction y = 0, using gas with mole fraction y = 0. In the first two cases, the gas is rejected at an arbitrary pressure Px, and in the tlvird case, the gas is assumed to come from a reservoir at an arbitrary pressure Px. To develop the depressurization equations we assume that a small number of gas moles (dN) are removed from the adsorbent bed, pressurized to Px, and then exhausted. This process is shown in Figure A.l. 149PDF Image | Energy Efficiency of Gas Separation Pressure Swing Adsorption
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