A first$-$order, liquid$-$phase, endothermic reaction, A Products, occurs in a CSTR $($MFR$).$ The feed concentration $($CA$0)$ is $1\mathrm{.}25$ mol$\backslash$times L$-1,$ the feed rate $($q$)$ is $20$ L$\backslash$times s$-$l$,$ and the volume of the reactor $($V$)$ is $20,000$ L$.$ The enthalpy of the reaction $($Hr$)$ is $50,000$ J$\backslash$times mol$-1,$ the specific heat of the reacting system is $3$ J$\backslash$times g$-1\backslash$times K$-1,$ and its density is $900$ g$\backslash$times L$-1.$ If the feed temperature $($Tin$)$ is $300$ K$,$ at what temperature $($Tcoil$)$ must a heating coil in the tank be maintained to keep the temperature $($T$)$ of the reaction in the tank the same as Tin? What is the obtained conversion? At $300$ K$,$ the rate constant kA $=410-3$ s$-1.$ For the coil, assume UA $=10,000$ J$\backslash$times s$-1\backslash$times K$-1.$