“…Moreover, the need of solving the partial differential equations (PDEs) of the mass balances in the particle, which are coupled to the corresponding mass balances in the fluid phase, can be avoided since pseudo homogeneous systems outcomes. An important number of works exists where the effectiveness factor is studied and approximate expressions are developed to obtain fast estimations, or to extend the approach to different particle geometries or chemical reaction kinetics (Bischoff, 1965;Gonzo et al, 1988;Gottifredi et al, 1981;Gottifredi and Gonzo, 2005;Haynes, 1986;Lee and Kim, 2006;Szukiewicz and Petrus, 2004).…”