Question: A membrane separator is (3 mathrm{~mm}) in diameter, and the membrane permeability was estimated as (2 times 10^{-6} mathrm{~m} / mathrm{s}). The solute being transported

A membrane separator is $3 \mathrm{~mm}$ in diameter, and the membrane permeability was estimated as $2 \times 10^{-6} \mathrm{~m} / \mathrm{s}$. The solute being transported has a diffusivity of $2 \times 10^{-9} \mathrm{~m}^{2} / \mathrm{s}$ in the liquid.

Estimate the overall permeability. What fraction of the resistance can be attributed to mass transfer?

The above membrane separator showed $70 \%$ solute recovery under certain operating conditions. A new membrane with 10 times the permeability is being considered as a replacement. Estimate the solute recovery in this new case.

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