(Solved): D19. Your plant has a catalytic system for burning methane in the stoichiometric quantity of air. Al ...

D19. Your plant has a catalytic system for burning methane in the stoichiometric quantity of air. All of the methane is converted to carbon dioxide and water vapor. The flue gas is cooled, and the water vapor is condensed out of the gas stream. Assume that air is 21% oxygen and 79% nitrogen. The gas that will be fed to the permeator consists of carbon dioxide and nitrogen. This gas is sent to a perfectly mixed membrane separator equipped with a silicone rubber membrane with an effective membrane thickness of 1.0 mum. The pressure on the permeate side is 1.02 bar, and the membrane unit is operating at 25^(@)C. Choose a basis of 1.0 kmol methane burned/minute. Data are in Table 19-2. Assume ideal gas. a. What is the flow rate and the concentration of the gas that is fed to the permeators? b. If the cut theta=0.20, what value of retentate pressure is needed to obtain a permeate product that is 30mol% carbon dioxide? What is corresponding retentate concentration? c. With theta=0.20, what is the highest value of y_(p) that can be obtained by increasing p_(r) ? d. What membrane area in m^(2) is required for a basis of burning 1.0kmol//min methane for part b ? (Data are in Table 19-2) Permeability of gases in Barrers in Silicone rubber membrane at 25 degree C He=300, H2=550, CO2=2700, O2=500, CH4=800, N2=250