Consider a polymeric membrane that is 30m thick, with a total surface area of 1cm2. The membrane has pores equivalent in size to a spherical molecule with an MW of 100,000 , a porosity of 80%, and a tortuosity of 2.5. On one side of the membrane, we have a protein solution that is to be concentrated (protein properties, a=3nm and D=6.0107cm2 sec1 ) at a concentration of 80gL1. Assume that the solution viscosity is 1cP. On the other side of the membrane is pure water. The 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 and the rate at which the protein crosses the membrane