a - = 1. Reconsider the problem of irreversible chemical reaction in a thin liquid film/catalyst pellet. In the class, we assumed that the convective mass transfer coefficient k 0 such that the concentrations of species A and B at the top boundary (z = L) are equal to their bulk values Coand 0, respectively. With this assumption we evaluated an expression for the concentration of species A, CA, within the domain (z 0 to L). (a) Rederive the expression for CA using convective boundary condition at the top boundary (z L) for a finite mass transfer coefficient k. (b) Introduce the Damkhler number Da = kyL? /DA = (L/2)2 and Biot number for mass transfer, Bim = kL/DA in the derived expression, where DA is the mass diffusivity of species A. (c) Show that in the limit k 00, the expression for CA will approach the expression derived in the class. = = - V a - = 1. Reconsider the problem of irreversible chemical reaction in a thin liquid film/catalyst pellet. In the class, we assumed that the convective mass transfer coefficient k 0 such that the concentrations of species A and B at the top boundary (z = L) are equal to their bulk values Coand 0, respectively. With this assumption we evaluated an expression for the concentration of species A, CA, within the domain (z 0 to L). (a) Rederive the expression for CA using convective boundary condition at the top boundary (z L) for a finite mass transfer coefficient k. (b) Introduce the Damkhler number Da = kyL? /DA = (L/2)2 and Biot number for mass transfer, Bim = kL/DA in the derived expression, where DA is the mass diffusivity of species A. (c) Show that in the limit k 00, the expression for CA will approach the expression derived in the class. = = - V