$3.$ A liquid phase exothermic reaction A $->$B is carried out at $358$K in a $0\mathrm{.}2$ m$3$ CSTR$.$ The coolant temperature is $273$K and the heat transfer coefficient $($U$)$ is $7200$ J$/$min$$m$2$K$.$ Determine the heat exchange area required for steady state operation? Using this heat exchange area, plot T vs t for reactor start$-$up$.$

CPA $=$CPS$=20$ J$/$g$$K $$S$=0$ CA$0=180$ g$/$dm$3$ u$0=500$ dm$3/$min T$0=313$ K

r$=900$ g$/$dm$3$H$\backslash$deg RX$($T$)=-2500$ J$/$g E$=94852$ J$/$mol$$K k$(313$K$)=1\mathrm{.}1$ min$-1$