A new asymmetric, polyimide, polymer membrane has been developed for the separation of N2 from CH4. At 30°C, permeance values are 50,000 and 10,000 barrer/cm for N2 and CH4, respectively. If this new membrane is used to perform the separation in Figure, determine the membrane surface area required in m2, and the kmol/h of CH4 in the permeate. Base the driving force for diffusion through the membrane on the arithmetic average of the partial pressures of the entering feed and the exiting retentate, with the permeate-side partial pressures at the exit condition.