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When a bed with uniform initial mole fraction y = VBis depressurized, the mole fraction in the bed increases, but remains uniform. This can be seen in Figure A.3(a). This occurs because for a given decrease in pressure, more moles of heavy component desorb than light component; this tends to increase the ratio of heavy moles to light moles in the gas phase. The mole fraction continues to increase until the pressure approaches zero and the mole fraction approaches unity. P = P H , y = yB P = P L , y > y B P - > 0 , y - ยป l (a) P=PH,y=0 P=PL,y=0 P->0,y =0 (b) Figure A.3 Mole Fraction as a Function of Pressure: (a) Initial Condition y = ys, and (b) Initial Condition y = 0. The formula that relates the mole fraction in the bed (y), to the pressure (P), initial mole fraction (yB), and the initial pressure (PB) is: i-p y-i (A.18) This is Equation (12) in the paper by Knaebel and Hill (1985). Therefore, when the initial mole fraction in the bed is greater than zero, Equations (A.17) and (A.18) must be solved simultaneously. 154PDF Image | Energy Efficiency of Gas Separation Pressure Swing Adsorption
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