In the alkylation process:

$C_6{H}_6+C_{12}{H}_{24}$AlCl$3,{45}^{\text{@}}C,C_6{H}_5.C_{12}{H}_{25}$

A stirred $-$ Jacketed reactor is employed to carry out the reaction at $45C,$ a pump is used to circulate cooling water into the jacket. It is required to:

i$)$ Draw a qualitative flowsheet for the process.

ii$)$ Estimate the volume of the reactor, in $m^3.$

iii$)$ Estimate the dimensions of the reactor, if it is a cylindrical tank, with $($H$/$D$=1\mathrm{.}35).D$ and $H$ are the diameter and the height of the reactor, respectively.

iv$)$ Estimate the capacity of the cooling water pump, in $\frac{m^3}{h}r$ and in liter$/$s$.$

v$)$ Estimate the heat transfer area needed to cool the reactor, in $m^2.$

Data given:

Alkylation is carried out batch wise, the time of the batch is $6$ hours.

The amounts of reactants per day are: