How much heat is required to convert $12\mathrm{.}1$ g of liquid benzene $($ C$6$H$6)$ at $53\mathrm{.}0$C to gaseous benzene at $100.$C $?$ The boiling point of benzene is $80\mathrm{.}1$C and Cm $[$ C$6$H$6($l$)]=136\mathrm{.}0$ J$/($mol$$C$),$ and $\backslash$Delta Hvap $=30\mathrm{.}72$ kJ$/$mol $,$ Cm $[$ C$6$H$6($g$)]=82\mathrm{.}4$ J$/($mol$$C$).$

Express your answer with the appropriate units.