production of styrene from dehydrogenation of ethylbenzene, You are required to manufacture $30000$ kg h$-1$ styrene, using catalytic dehydrogenation of EB$.$ I want material balance $65$ mol$\%$ EB converted in reactor $(96\mathrm{.}4$ mol$\%$ styrene yield$)$

$1$ mol$\%$ of the EB that is converted forms benzene and ethane

C$6$H$5$CH$2$CH$3+$ H$2---->$ C$6$H$6+$ C$2$H$6$

$2$ mol$\%$ of the EB that is converted forms methylbenzene and methane

C$6$H$5$CH$2$CH$3+$ H$2---->$ C$6$H$5$CH$3+$ CH$4$

$0\mathrm{.}6$ mol$\%$ of the EB that is converted forms tars through pyrolysis, which have very high $($but unknown$)$ RMM

C$6$H$5$CH$2$CH$3---->$ Tars

All H$2,$ CH$4$ and C$2$H$6$ leave as gases

$14\mathrm{.}6$ wt$\%$ benzene, $5\mathrm{.}1$ wt$\%$ toluene, $2$ wt$\%$ EB and $2$ wt$\%$ styrene entering the separator leaves with the gases.

All water leaves separately $($assume complete immiscibility of organics$)$

During distillation, as the styrene product is heated, some of it polymerises $($assume $0\mathrm{.}22$ wt$\%$ of the styrene in each column does this$).$ These polymers and the tars are non$-$volatile and finish up in the bottom product of any column in the train$0\mathrm{.}22$ wt$\%$ of styrene entering each column polymerises.

Topping Column

All remaining styrene in bottom product.

All benzene entering leaves in the top product

$2\mathrm{.}0$ wt$\%$ of the top product is EB

$0\mathrm{.}1$ wt$\%$ of the bottom product is toluene

Ethylbenzene Column

All toluene entering leaves in the top product

$1\mathrm{.}5$ wt$\%$ of top product is styrene

$0\mathrm{.}3$ wt$\%$ of bottom product is EB