Problem $4$:

The importance of diffusion in catalyst particles is often determined by measuring the effect of pellet size on the observed reaction rate. In this problem, consider an irreversible firstorder reaction occurring in catalyst pellets where the surface concentration of reactant $A$ is kept at $C_{ss}=0\mathrm{.}15M$ in a spinning basket reactor. The results that are obtained from $16$ experiments at $2$ different temperatures, where the observed reaction rate per volume of catalyst $($rose$)$ is obtained as a function of the catalyst particle diameter $($Dex$)$ and temperature, is given in TableP$4.$ Assume that spherical particles were used.

Table P$4$: Observed reaction rate as function of catalyst diameter and temperature

$\backslash$table$[[T=500K,T=530K$