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for seperations If membrane selectivity of two dissolved species were solely determined by hindered (Knudsen) diffusion, estimate pore diameter needed for the effective separation of
for seperations
If membrane selectivity of two dissolved species were solely determined by hindered (Knudsen) diffusion, estimate pore diameter needed for the effective separation of species A from species C in medium B (solvent) if it requires AC=1000 to be feasible. Species A has a radius of gyration when dissolved in medium B of 1.5nm; similarly, molecule C is 2.5nm; the average molecular diameter of the solvent (water) is 0.28nm. Use the Stokes-Einstein equation for an easy measure of molecular diffusivity for A and C in water, respectively (though this would be a gross error). Membrane porosity is 70% with roughly straight (tracketched) pathways. Clearly state any additional requirements, limitations, or fixed parameters in making reasonable, quantitative estimates. [Note, the setup and process understanding are key herein rather than exact numerical values.] Step by Step Solution
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