Liquid membranes (such as emulsions) may be used to carry enzymes, and produce p

Question

Liquid membranes (such as emulsions) may be used to carry enzymes, and produce pharmaceuticals. Consider one such planar membrane of area A and thickness d. The substrate diffuses from one side at concentration C1 to the other side at a concentration C2 through the membrane, where the diffusivity of the substrate in the membrane is D. In the membrane, the substrate is converted to products by a first order reaction (rate constant k). Obtain an expression for the steady state concentration profile C(x) through the membrane. For the following values, obtain a plot for concentration (use 10 µm increments in x). C1 = 1 mM; C2 = 0.1 mM; d = 100 µm; k = 10-3 s -1 ; D = 10-6 cm 2 /s

Explanation / Answer

C(x) = [C1 - C2 / d ] x + C2

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