Repeat Example 14.8 with the following changes: tube-side Reynolds number = 25,000; tube inside diameter = 0.4 cm; permeateside mass-transfer coefficient = 0.06 cm/s. How important is concentration polarization? Repeat Example 14.8 with the following changes: tube-side Reynolds number = 25,000; tube inside diameter = 0.4 cm; permeateside mass-transfer coefficient = 0.06 cm/s. How important is concentration polarization?

Example 14.8

A dilute solution of solute A in solvent B is passed through a tubular- membrane separator, where the feed flows through the tubes. At a certain location, solute concentrations on the feed and permeate sides are 5.0 x 10 ^-2 kmol/m³ and 1.5 x10 ^-2 kmol/m³, respectively. The permeance of the membrane for solute A is given by the membrane vendor as 7.3 x 10^-5 m/s. If the tube-side Reynolds number is 15,000, the feed-side solute Schmidt number is 500, the diffusivity of the feed-side solute is 6.5 x 10^-5 cm²/s, and the inside diameter of the tube is 0.5 cm, estimate the solute flux through the membrane if the mass-transfer resistance on the permeate side of the membrane is negligible.