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Upon substituting Equation (3.90) into (3.89) and integrating, we find the work recovered by expanding the product gas: The net work for the cycle is: v ro' PA W Z=W+W+ W +W nFBPRR PSV xuDi(H\ B(, Vi a\ <3-91> (3.92) The recovery is found by dividing the number of product moles by the number of moles of the light component in the feed. Recovery=^ ( 3 -9 3 ) FB When these formulas are substituted in, the result is very simple. Recovery = (l-y#) (3.94) This is the limit of the Four-Step and Ideal Four Step cycle recovery when IT approaches infinity. The work is now neither a function of PL or FL The net work is shown in Figure 3.29 as a function of yo and p. There is only a weak dependence on p, but the work required increases as yo increases and there is less of the desired product in the feed gas. The second law efficiency is shown in Figure 3.30, also as a function of p and yo. Again, there is only a weak dependence on p, and the second law efficiency improves as yo decreases. For the example of oxygen concentration with yo =0.78 and p = 0.582, the second law efficiency is 43.98%. 95PDF Image | Energy Efficiency of Gas Separation Pressure Swing Adsorption
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