**QUESTION**

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Q-1 Finely divided clay is used as a catalyst in the petroleum industry. It has density of $1.2 \mathrm{~g} / \mathrm{cc}$ and sphericity of 0.5 . The size analysis is as follows \begin{tabular}{|l|l|l|l|l|l|} \hline $\begin{array}{l}\text { Average } \\ \text { diameter Di avg } \\ (\mathrm{cm})\end{array}$ & 0.0252 & 0.0178 & 0.0126 & 0.0089 & 0.0038 \\ \hline $\begin{array}{l}\text { Mass fraction } x_{i} \\ (\mathrm{gm})\end{array}$ & 0.088 & 0.178 & 0.293 & 0.194 & 0.247 \\ \hline \end{tabular} Find the specific surface area and Sauter mean diameter of the clay materials Q-2 Calculate the volume -surface mean diameter for the following particulate material \begin{tabular}{|l|l|l|l|l|l|} \hline $\begin{array}{l}\text { Size range, } \\ \mu \mathrm{m}\end{array}$ & $-710+300$ & $-300+180$ & $-180+90$ & $-90+30$ & Pan \\ \hline $\begin{array}{l}\text { Mass of the } \\ \text { particles in the } \\ \text { range }(\mathrm{g})\end{array}$ & 30 & 35 & 65 & 70 & 55 \\ \hline \end{tabular}