(40\%) 3. Consider one of the cylindrical channels that run through a catalyst as shown below. A catalyst coats the inner walls of each channel. This catalyst promotes the isomerization of n-butane (species A) to iso-butane (species B). The gas phase above the channels contains A and B. Species A diffuse down straight channels. The base of each channel is sealed. The surface reaction is very fast so that the production rate of B is diffusion limited. (10\%) (a) I want to study the mass-transfer of A and B in one channel at equilibrium status. Take the side view with a rectangular area as the control volume. List at least three assumptions for this process and show the simplified general differential equation. [r1r(rNA,r)+r1(NA,)+z(NA,z)]+tCARA=0 (15\%) (b) Based on your assumptions, develop differential equation for mass transfer in terms of CA. (15%) (c) Specify all boundary conditions for a steady-state process