A student evaluates a proposed thermal regeneration step that reverses the net chemistry of a sulfur-recovery process. The following standard enthalpy changes at \(25^\circ\text{C}\) are available.

Thermochemical equation	\(\Delta H^\circ\)
\(2\text{H}_2\text{S(g)}+3\text{O}_2\text{(g)}\rightarrow 2\text{SO}_2\text{(g)}+2\text{H}_2\text{O(l)}\)	\(-1124\text{ kJ/mol}_{\text{rxn}}\)
\(\text{S(s)}+\text{O}_2\text{(g)}\rightarrow \text{SO}_2\text{(g)}\)	\(-297\text{ kJ/mol}_{\text{rxn}}\)

What is \(\Delta H^\circ\) for the proposed reaction \(3\text{S(s)}+2\text{H}_2\text{O(l)}\rightarrow 2\text{H}_2\text{S(g)}+\text{SO}_2\text{(g)}\)?