A membrane process is used to capture CO2 with 90% recovery and 90% purity from a flue gas mixture containing 15% CO2 and 85% N2. The process uses a polymeric membrane which has a CO2 permeability of...

A membrane process is used to capture CO2 with 90% recovery and 90% purity from a flue gas mixture containing 15% CO2 and 85% N2. The process uses a polymeric membrane which has a CO2 permeability of 2.7×10-2 mol/(m2·s·atm). The flue gas comes with a flow rate of 1 mol/s and at a pressure of 1 atm. If CO2 is captured and recovered in the permeate side at a vacuum pressure of 0.01 atm, then what is the total
area of the membrane that is required to achieve the specified separation? If the membrane cost is $50/m2, what is the total purchased cost of the membrane?