CAD r Catalyst A B A catalytic reaction takes place at the surface of the nonporous spherical catalyst pellet shown in the sketch. The surface reaction rate, R, (moles/area-t) is first order with respect to "A with a reaction rate constant, k. (1) and the concentration of "A" far from the surface is equal to the bulk concentration. Ce (a) Solve for the concentration of A within the fluid. (b) If the reaction rate is very fast relative to the diffusion rate (k, > > Dw), sketch the CA concentration profile Cu