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The net work required to produce 1 mole of product gas is much less than that required for the Four-Step cycle and the work is not a function of PL. This is because all of the compression energy is recovered. The work required using the Ideal Four-Step cycle is about three to six times less than that of the Four-Step cycle, depending on the low pressure used for the Four-Step cycle. As Fl increases, the work required for the Ideal Four-Step cycle approaches a limit, as with the Four-Step cycle. The second law efficiency is plotted in Figure 3.23. This is also not a function of PL, but reflects the same trend as the Four-Step cycle in that the work ratio approaches zero as n approaches 4.55, and approaches a limit as n increases. In comparison with the Four-Step cycle, the second law efficiency has increased from 2.70% to 16.87% at n = 7, and 5.27% to 36.77% at II = 25. At very high values of n, the second law efficiency approaches 43.98% . The recovery for this cycle is the same as that of the Four-Step cycle (see Figure 3.12). The next two graphs show how the work required for our base case of oxygen separation depends on n and p. 86PDF Image | Energy Efficiency of Gas Separation Pressure Swing Adsorption
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