Imagine a cylindrical membrane with a hollow core of length L, inner radius R1 and outer radius R2. This membrane connects two large, well-mixed tanks of solution that are held at constant concentrations C1 and CO, respectively. The inner core of the membrane is held at C1 and the membrane is submerged in a third tank that is also well-mixed and held at a concentration C2. All of the surfaces of the membrane (inner, outer, and the left and right faces) are exposed to the solution in the respective tanks and solute can diffuse into or out of the membrane at all of these interfaces. The diffusivity of the solute in the membrane is Dm and the partition coefficient of the membrane is om. Define a coordinate system and use the general vector form of Fick's second law to derive a differential equation that defines concentration,, throughout the membrane at steady-state. Then define all the boundary conditions that are necessary to solve this differential equation. Show all your work and clearly state your assumptions. In this problem, you do not have to solve the differential equation, only set it up.