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It is useful to invert the non-dimensional terms surrounded by square brackets and define them as: R= £ (2.36) (2-37) PA s (l-s)k +A BB = - £+(l -s)kB The total number of moles inside an adsorbent bed can then be described by the following equations: A = yPeVj_ P RT A (2.38) (239) n ={l-y)PeVB BBRT These equations are similar in structure to the ideal gas law; they have a partial pressure term (yP or (1 - y)P), a volume term which represents the void volume in the bed (EVB), the universal gas constant, and the temperature. The additional p terms can be understood as the fraction of that species in the bed that is in the gas phase. For example, a low value of PA implies that most of the species A in the bed is in the adsorbed phase. A high value of PA implies that most of the species A in the bed is in the gas phase. A value of unity (the highest possible value) for PAimplies that all of the species A is in the gas phase and no adsorption of species A occurs on that particular adsorbent. 24PDF Image | Energy Efficiency of Gas Separation Pressure Swing Adsorption
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