Estimate the permeability of a spherically shaped molecule that has a molecular weight of 42,000 g mol−1 through a microporous polycarbonate membrane. Assume that the molecule enters the pores of the...

Estimate the permeability of a spherically shaped molecule that has a molecular weight of 42,000 g mol−1 through a microporous polycarbonate membrane. Assume that the molecule enters the pores of the membrane from a well-stirred bulk solution that is at 37°C. The membrane pores are cylindrical and have a diameter of 32 nm with an overall length of 325 μm. The membrane itself is 250 μm in thickness. The pores comprise 42% of the membrane volume.