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To illustrate the effect of mass velocity on external diffusion in the oxidation of sulfur dioxide with a platinum catalyst, consider the following data, all at $480C.$

The reactor consisted of fixed bed of $\frac{1}{8}\frac{1}{8}$ in cylindrical pellets. The pressure was $790mmHg.$ The external area of catalyst particles was $1\mathrm{.}05\frac{m^2}{k}g,$ and the platinum did not penetrate into the interior of the alumina pellets. Calculate the partial pressure difference between the bulk gas phase and the surface of the catalyst for $S{O}_2$ at each mass velocity. What conclusions may be stated with regard to importance of external diffusion? Neglect temperature differences. Data: void fraction of bed $=0\mathrm{.}43$ and Bulk diffusivity of $S{O}_2$ in air

D $=6\mathrm{.}30{10}^{-5}\frac{m^2}{s}.$

$C_b-C_S=\frac{r_p(\frac{}{}D{)}^{\frac{2}{3}}}{a_t(\frac{G}{}{)}_{SD}}$

$r_p=k_m*a_m(c_b-c_s)$

$\frac{r_p}{k_m*a_m}=(c_b-c_s)$

$D=6,30{10}^{-5}\frac{m^2}{s}$

$air=3,72{10}^{-5}Pa.s(480C)$

dparticle $=0,0038m$

${}_{\text{a}\text{i}\text{r}}=0,487k\frac{g}{m^3}(480C)$