Sulphur dioxide is oxidized to sulphur trioxide in a small pilot plant reactor.

$S{O}_2+\frac{1}{2}{O}_{2}S{O}_3$;$,hat(H{)}_r^o(25C,1(atm))=-98\mathrm{.}28kJmo{l}^{-1}$

$S{O}_2$ and $100\%$ excess air are fed to the reactor at $450C.$ The reaction proceeds to a $65\%$ conversion of $S{O}_2$ and the products emerge from the reactor at $550C.$ The production rate of $S{O}_3$ is $100kg{h}^{-1}.$ The reactor is cooled with water entering at $25C$ and leaving at $40C.$ Calculate the flow rate of the water in $k{g}^{-1}.$

Data

$\backslash$table$[[$Heat Capacity$],[C_p((J)mo{l}^{-1}{C}^{-1})=a+bT(C)$