(Solved): Calculate the standard enthalpy of formation of gaseous sulfur dioxide \( \left(\mathrm{SO}_{2}\rig ...

Calculate the standard enthalpy of formation of gaseous sulfur dioxide \( \left(\mathrm{SO}_{2}\right) \) using the following thermochemical information: \[ \begin{aligned} 2 \mathrm{Mg}(\mathrm{s})+\mathrm{O}_{2}(\mathrm{~g}) \rightleftharpoons 2 \mathrm{MgO}(\mathrm{s}) & \Delta \mathrm{H}=-1203.4 \mathrm{~kJ} \\ \mathrm{MgS}(\mathrm{s}) \rightleftharpoons \mathrm{Mg}(\mathrm{s})+\mathrm{S}(\mathrm{s}) & \Delta \mathrm{H}=+598.0 \mathrm{~kJ} \\ 3 \mathrm{Mg}(\mathrm{s})+\mathrm{SO}_{2}(\mathrm{~g}) \rightleftharpoons \mathrm{MgS}(\mathrm{s})+2 \mathrm{MgO}(\mathrm{s}) & \Delta \mathrm{H}=-1504.6 \mathrm{~kJ} \end{aligned} \]