Repeat Example 9.2, but with a feed pressure of 5.0 MPa. Compare your results to those obtained at a feed pressure of 1.0 \(\mathrm{MPa}\).

Data From Example 9.2:-

Air can be separated into oxygen-enriched and nitrogen-enriched streams by gas permeation through dense membranes. A polyethylmethacrylate (PEMA) membrane in the form of a thin film (0.2 μm thick) is being considered for this purpose. The permeabilities of this membrane for oxygen (A) and nitrogen (B) at 298 K are 3.97 × 10^–13 and 0.76 × 10–13 mol/(m·s·kPa), respectively (Gülmüs and Yilmaz, 2007). An air flow rate of 1.0 m³/s (at STP) is sent to the membrane separator at 298 K and a pressure of 1.0 MPa. The pressure on the permeate side will be 0.1 MPa. Calculate the concentration of the permeate and retentate, and the membrane area required for the separation as functions of the cut, θ, for 0.1 ≤ θ ≤ 0.9. Assume perfect mixing on both sides of the membrane.