Problem $1[10$ points$]$

A continuous stirred tank reactor is used in for the production of sodium stearate from lye and fatty acids. A cooling jacket is used to maintain isothermal conditions. The lye solution contains $97$mol $\%$NaOH with the rest being water. The fatty acids contain $80$mol$\%$ stearic acid and rest unreactive compounds. If $1$mol$\frac{e}{s}$ of each feed $($lye and fatty acid$)$ are provided to the reactor, compute the heat load $($in $kW)$ on the cooling jacket. The enthalpy of the reaction at the reactor operating conditions is $-41k\frac{J}{m}ol$ sodium stearate. The equation for the reaction is$,$

$C_{18}{H}_{36}{O}_2+NaOHlongrightarrow{C}_{18}{H}_{35}{O}_{2}Na+H_{2}O$

Assume complete reaction and steady state.