Question $3$ In the alkylation process: ALC$13,45\backslash$deg C C$6$H$6+$C$12$H$24$ C$6$H$5.$C$12$H$25$ A stirred $$ Jacketed reactor is employed to carry out the reaction at $45\backslash$deg C$,$ 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$?.$ Estimate the dimensions of the reactor, if it is a cylindrical tank, with $($H$/$D$=1\mathrm{.}3).$ D and H are the diameter and the height of the reactor, respectively. iv$)$ Estimate the capacity of the cooling water pump, in m$/$hr$.$ Estimate the heat transfer area needed to cool the reactor, in cm$?.$ Data given: $1)$ Alkylation is carried out batch wise, the time of the batch is $6$ hours. $2)$ The amounts of reactants per day are: C$6$H$6$: $4055$ kg$,($p $=880$ kg$/$m$?,$ MW$=78),$ C$12$H$24$: $10893$kg$,($p $=760$ kg$/$m$?,$ MW$=168),$ AICI:: $797$ kg $($p $=2440$ kg$/$m$?).3)$ Heat of reaction $=-14826$ cal$/$g$.$mol. $4)$ Heat is liberated in $3$ hours of the batch time. $5)$ Cooling water inlet temperature is $22\backslash$deg C and outlet temperature is $33\backslash$deg C$.6)$ Temperature of reactants should be kept always at $45\backslash$deg C$.7)$ Heat capacity of water is $1$ cal$/$g$.\backslash$deg C$.8)$ Overall heat transfer coefficient $($U$)=67\mathrm{.}8$ Kcal$/$h$.$m$..$C$.$