The standard enthalpy change for the reaction of $\mathrm{SO}_{3}(g)$ with $\mathrm{H}_{2} \mathrm{O}(l)$ to yield $\mathrm{H}_{2} \mathrm{SO}_{4}(a q)$ is $\Delta H^{\circ}=-2227.8 \mathrm{kJ}$ . Use the information in Problem 8.78 to calculate $\Delta H^{\circ} \mathrm{f}$ for
$\mathrm{H}_{2} \mathrm{SO}_{4}(a q)$ in $\mathrm{kJ} / \mathrm{mol} .\left[\text { For } \mathrm{H}_{2} \mathrm{O}(l), \Delta H_{\mathrm{f}}^{\circ}=-285.8 \mathrm{kJ} / \mathrm{mol.}\right]$