Consider a polymeric membrane within a 6 cm diameter stirred ultrafiltration cell. The mem- brane is 30 μm thick. The membrane has pores equivalent in size to a spherical molecule with a molecular weight of 100,000, a porosity of 80%, and a tortuosity of 2.5. On the feed side of the membrane, we have a solution containing a protein at a concentration of 8 g L−1 with these properties: a = 3 nm and DAB = 6.0 × 10−7 cm2 s−1. The solution viscosity is 1 cP. The hydrody- namic pressure on the protein side of the membrane is 20 pounds per square inch (psi) higher than on the filtrate side of the membrane. Determine the convective flow rate of the solution across the membrane and the rate at which the protein crosses the membrane. The solution on the feed side of the membrane is being stirred at 900 RPM.

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Consider a polymeric membrane within a 6 cm diameter stirred ultrafiltration cell. The mem- brane is 30 μm thick. The membrane has pores equivalent in size to a spherical molecule with a molecular weight of 100,000, a porosity of 80%, and a tortuosity of 2.5. On the feed side of the membrane, we have a solution containing a protein at a concentration of 8 g L−1 with these properties: a = 3 nm and DAB = 6.0 × 10−7 cm2 s−1. The solution viscosity is 1 cP. The hydrody- namic pressure on the protein side of the membrane is 20 pounds per square inch (psi) higher than on the filtrate side of the membrane. Determine the convective flow rate of the solution across the membrane and the rate at which the protein crosses the membrane. The solution on the feed side of the membrane is being stirred at 900 RPM.
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