The sketch shows a cylindrical hollow fiber with membrane walls. Species \'A\' i

Question

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 C_A1, and C_A2, 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, D-AM. (a) Solve for the concentration profile of 'A' in the membrane wall in terms of the dimensions of the fiber and concentrations at R_1 and R_2. (b) Solve for the molar flux of 'A' leaving the outer wall of the membrane.

Explanation / Answer

Fick,s law of diffusion,

NA = -DAB* dCA/dz

NA = Rate of mass transfer (kmol / m2.s)

DAB = Diffusivity of A to B (m2/s)

dcA = change in concentartion (kmol/ m3)

dz = distance between two planes (m)

So based on fick's law it can be solved

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