Suppose that a reaction.

occurs initially as a homogeneous first-order reaction (rate constant k) but that the product Z is adsorbed on the surface and catalyzes the reaction according to a law that is zero order in A and first order in Z (i.e., the term in the rate equation is k_c[Z]). Obtain a differential equation for the rate of appearance of Z, and integrate it to give z as a function of time.

AY+Z