This paper presents the solution of the model of the simultaneous diffusion and reaction of the uniformly coked catalyst undergoing regeneration with gaseous reaction with the solid coke. The reaction is assumed to be catalytic hence it obeys Langmuir-Hinshelwood kinetics. The resulting-gas and coke mass balance non-linear coupled equations were solved by finite difference technique. Profiles of coke and gas consumption within the pellet are presented and the effect of diffusional resistances are evaluated by the effect of a sufficient variation in Blot number.