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A spherical capsule has an outer membrane thickness with inner and outer radii ri and ro, respectively

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A spherical capsule has an outer membrane thickness with inner and outer radii ri and ro, respectively. A solute is diffusing across this capsule. Consider the case where the diffusion coefficient is a function of concentration and can be represented in a general form as D(CA) and is not a constant. Derive an expression for the (total) rate of mass transport across this spherical shell. Use the low-flux model.

 

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