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Upon substituting in the expressions for partial pressure we find that the above equations become: *AX -SAO =-RW (2.13) (2.U) S BI-S BO =-Rw f 1N vl-JV As th e total pressure cancels, we end u p with th e ratio o f the mole fractions. When we substitute Equations (2.13) and (2.14) into (2.9) and (2.10), we find that the availability of each species at state (1) is: f ¥AX =RT0\n P —1 (2.25) (2.16) ¥BX =RTol n f The availability is the maximum reversible work per mole that could be done by each species as it goes from state (1) to (0). The minimum reversible work necessary to change the gases from state (0) to (1) is just the opposite, and for the given NA moles of species A and NB moles of species B, the minimum reversible work necessary to separate the gases is: f Wm = -RTn NA\n\ +NB ln| 1 ^ (2.17) 12PDF Image | Energy Efficiency of Gas Separation Pressure Swing Adsorption
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