The CSTR $($Continuous Stirred Reactor$)$ design that needed for C$7$H$8+$CH$3$OOH$+1/2$O$2---$C$6$H$5$CH$2$OCOCH$3$ reaction which has activation energy of $60$ kJ$/$mol $,$ density of $1\mathrm{.}168$ kg$/$m$3,$ mass flow rate $184\mathrm{.}5$ kg$/$h and inlet temperature to reactor is $25$ Celsius and the outlet temperature $60$ Celsius and the Arrhenius constant $-$frequency factor$-$ of $2\mathrm{.}9*10^4$ and the volume of the reactor $30$ m$^3($assumed$).$Do the necessary calculations for this CSTR design and derive the conversion equations for both mass balance and energy balance.

A$)$ Plot the graph conversion vs temperature for mass balance

B$)$ Plot the graph for conversion vs temperature for energy balance