Question: 2. (10 points) A cylindrical membrane has an inner radius Ro, outer radius R1, diffusivity DM, and a partition coefficient of ~ 1.0. Assume that

2. (10 points) A cylindrical membrane has an inner radius Ro, outer radius R1, diffusivity DM, and a partition coefficient of ~ 1.0. Assume that the concentrations at the inner and outer walls are held constant at Co and C1, respectively. Assume that there is no flow in the z- or 0-directions. The velocity in the radial direction vr is equal to: V. = 21 2 ar where Qu is the constant volumetric flow rate per length of the membrane (m3/[s*m]). Show that the steady-state concentration profile through the pipe is given by the equation: Pe - Ro car) = Pe - R ( Co - C 1 ) + C o Where the Peclet number Pe is defined as QL/2nDij

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