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The mole fraction of each species is the number of moles of that species divided by the total number of moles. In order to simplify the equations to follow, we define the "mole fraction" y of a gas mixture to be the mole fraction of species A in the gas phase. Thus, the mole fraction of the two gases can be described as: NA (2 3) N 1 ^ f l (2 4) The partial pressure PA of gas species A is the pressure at which the gas would be if the NA moles of species A were alone in the volume V. The partial pressure PBof gas species B is defined similarly. These definitions can be written as follows: P =^-yP A = ^ = (i-y)P The system can now be described by y and any two of the properties P, V, and N. (2-5) (2-6) P B The reversible work required to separate two gases is the change in availability that occurs as the gases are separated. Availability is defined as the maximum reversible work that can be done by a system relative to a reference state. If we take this reference state to be the state in which the two gases are mixed and in equilibrium at temperature To, we have the system labeled (0) in Figure 2.1. For convenience, the availability of each species at state (0) is considered to be zero. The mole fraction of thePDF Image | Energy Efficiency of Gas Separation Pressure Swing Adsorption
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