Consider the reaction between hydrochloric acid and barium hydroxide. When $100\mathrm{.}0mL$ of $0\mathrm{.}500MHCl$ is mixed with $300\mathrm{.}0mL$ of $0\mathrm{.}100$MBa$(OH{)}_2,$ the temperature rises from $25\mathrm{.}0C$ to $26\mathrm{.}8C.$ Calculate the heat of reaction in $kJ$ per mol barium hydroxide consumed. Assume that the final mixture has a mass of $400\mathrm{.}0g$ and a specific heat capacity of $4\mathrm{.}18\frac{J}{g}\frac{?}{?}C.$