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We also define the purity and recovery of species B: YPB NPB NPA + NPB (2.22) (2.23) Purity = 1-^ W = -RT NPA ln| + NPB ln| + NEA ln| + NEB ln| ''rev Ai0 (2.24) Recovery N PB N FB From these definitions, the reversible work in Equation (2.17) is a specific case of the general situation in which NB moles of species B are produced at Purity = 1 and Recovery = 1. To extend this equation to the general case with arbitrary purity and recovery, w e must calculate the availability of both species in both the product and exhaust streams relative to the feed stream (which is considered to be the reference stream). Again, this translates into a function of the number of moles and the ratio of the partial pressures. Without calculating the individual availabilities, we construct the equation for reversible work when feed, product and exhaust are at atmospheric pressure. This equation can be seen plotted in Figure 2.4 as a function of purity and recovery, for the specific case of oxygen concentration from air (yo = 0.78). If no separation takes place (purity = 0.22), no work is done by the system. As the purity of the product and the product recovery increase, more work is done on the system to effect the separation. 16PDF Image | Energy Efficiency of Gas Separation Pressure Swing Adsorption
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