No. 3 Diffusion at steady state. Consider a small circular hole of radius a, connecting a solution with concentration co with pure water (see diagram below). a) Assuming that the concentration depends only on the distance from the center of the hole, find the steady state distribution of the solute c(r). In effect, you approximate the hole as a small sphere (diagram is not up to scale: the hole is very small compared to the sample.) C=0 C-cs b) Find the flux of particles through the pore. c) If we now cover the hole with a membrane with N small pores of radius rp, what is the total flux through the membrane? d) According to the formula that you will obtain, the flux can exceed the flux obtained in b) although the total surface of the small pores is smaller than the surface of the hole. Explain this unphysical result. No. 3 Diffusion at steady state. Consider a small circular hole of radius a, connecting a solution with concentration co with pure water (see diagram below). a) Assuming that the concentration depends only on the distance from the center of the hole, find the steady state distribution of the solute c(r). In effect, you approximate the hole as a small sphere (diagram is not up to scale: the hole is very small compared to the sample.) C=0 C-cs b) Find the flux of particles through the pore. c) If we now cover the hole with a membrane with N small pores of radius rp, what is the total flux through the membrane? d) According to the formula that you will obtain, the flux can exceed the flux obtained in b) although the total surface of the small pores is smaller than the surface of the hole. Explain this unphysical result