A first$-$order liquid phase reaction is run in a RATB. The reagent concentration in the feed is $3\mathrm{.}0$ kmol$/$m$3$ and the feed velocity is $60$ x $10-6$ m$3/$sec$.$ The density and heat capacity of the constant mixture are $103$ kg$/$m$3$ and $4\mathrm{.}19$ kJ$/$kg$.$K$,$ respectively. The reactor volume is $18$ x $10-3$ m$3.$ There are no products in the feed stream and the reactor operates adiabatically. Heat and rate of reaction: dlt H $=-50,000$ cal$/$gmol

$\text{'}$r $=4\mathrm{.}48$ x $106$ C exp $(-62,800/$RT$),$ kmol$/$m$3.$sec$.$

where C is the concentration of the reagent in kmol$/$m$3.$sec; T in K and R $=8\mathrm{.}314$ J$/$gmol$.$K$.$ Activation energy is $62,800$ J$/$gmol$.$ If the feed enters at $298$ K$,$ what is the conversion and steady state temperature at the reactor outlet?