We have a mixture that is 40.0 mol% carbon dioxide and 60.0 mol% oxygen being processed in a perfectly mixed membrane gas permeation separator. A silicone rubber membrane is used at 25.0C. Permeabilities are PCO2 = 27001010 cm3(STP)cm/[cm2scm Hg] and PO2 = 5001010 cm3(STP)cm/[cm2scm Hg]. Thickness of active layer of membrane is tms = 0.0003 cm. Permeate pressure is pp = 65.0 cm Hg, and retentate pressure is pr = 365 cm Hg. Assume gases are ideal. (a) (10 pts) If we want the highest possible value of permeate mole fraction carbon dioxide, yp, what value of cut should be used, what is the value of yp, and what is the value of the retentate mole fraction of carbon dioxide, yr? [yr = 0.4 and yp = 0.725] (b) (10 pts) If we want the lowest possible value of retentate mole fraction carbon dioxide, yr, what value of cut should be used, what is the value of yr, and what is the value of permeate mole fraction of carbon dioxide, yp? [yp = 0.4 and yr = 0.162]