A dilute solution of solute A in solvent B flows through a tubular-membrane separator, where the feed flows through the tubes. At a certain location, the solute concentrations on the feed and permeate sides are 65 mol/m³ and 20 mol/m³, respectively. The membrane thickness is 2.5 μm, and its permeability for solute A is 185 barrer. The tube inside diameter is 0.45 cm. The tube-side Reynolds number is 25,000, and the feed-side solute Schmidt number is 500. The diffusivity of the solute is 4 x 10⁻⁶ cm²/s. The mass-transfer coefficient on the permeate side of the membrane is 0.15 cm/s. Estimate the transmembrane flux of solute A.
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