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 CAI, 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. A₂ X B₂ FIBER WALL

Elements Of Electromagnetics
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Author:Sadiku, Matthew N. O.
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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
CAI, 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.
XA2 XB2
FIBER WALL
*****
Transcribed Image Text: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 CAI, 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. XA2 XB2 FIBER WALL *****
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