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5. The sketch shows a cylindrical hollow fiber with membrane walls. Species 'A' is undergoing steady-state diffusion through the membrane wall where its concentrations at

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5. The sketch shows a cylindrical hollow fiber with membrane walls. Species 'A' is undergoing steady-state diffusion through the membrane wall where its concentrations at the inner and outer membrane walls are CA1, and CA2, respectively. It can be assumed that the membrane wall eliminates any bulk diffusion effects and that the diffusion flux follows Fick's Law with a membrane diffusion coefficient, DAM. (a) Solve for the concentration profile of ' A ' in the membrane wall in terms of the dimensions of the fiber and concentrations at R1 and R2. (b) Solve for the molar flux of 'A' leaving the outer wall of the membrane. 6. Referring to the hollow fiber unit in Question 5, assume that the membrane is reactive, that is, as ' A ' diffuses through the membrane it catalyzes a reaction, A2B, with a zero-order reaction rate (Rev= constant). If all other conditions are the same, obtain an expression for the molar flux of ' A ' leaving the wall and compare it to the solution in Question 5 to obtain the enhancement factor of the reactive membrane; i.e., the ratio of fluxes with and without reaction

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