Chemistry Question from JEE Main 2024 · 30 January, Shift 2

Two reactions are given below: $2\text{Fe}(s) + \tfrac{3}{2}\text{O}_2(g) \rightarrow \text{Fe}_2\text{O}_3(s), \quad \Delta H^\circ = -822 \, \text{kJ/mol}$ $\text{C}(s) + \tfrac{1}{2}\text{O}_2(g) \rightarrow \text{CO}(g), \quad \Delta H^\circ = -110 \, \text{kJ/mol}$ The enthalpy change (in kJ/mol) for the reaction $3\text{C}(s) + \text{Fe}_2\text{O}_3(s) \rightarrow 2\text{Fe}(s) + 3\text{CO}(g)$ is: