Binary gas separation membrane [40 pts]: a hollow-fiber asymmetric polymeric membrane is considered for splitting a 88% h2 (balance n2) stream into high-purity and mid-purity h2 streams. the asymmetric fiber has a dense, functional film thickness of 20nm and a permeability of 70 barrer and a h2: n2 permselectivity of 25: 1. there is negligible mass transfer resistance outside of this dense, functional film thickness. the system internals are uniquely designed such that both the retentate and permeate volumes are well-mixed. (1 barrer = 3.35x10-16 mol/s/m/pa). the retentate pressure is maintained at 60psia and the permeate pressure is at 15psia. gas mixture is supplied to the membrane at a flowrate of 5 kmol/hr. a. [5 pts] what is the maximum possible hydrogen purity that can be achieved using this unit? b. [20 pts] if the target rejected stream composition (xo) is 0.75, what is the permeate composition and flowrate, and what is the membrane surface area required? c. [15 pts] what are the permeate and retentate outlet h2 mol% for a ‘cut’ of 0.58? note: 14.696 psi = 1 atm = 101325 pa = 101.325 kpa = 1.01325 bar