Physics · JEE | THERMODYNAMICS

Calculate the standard reaction enthalpy for \( \text{Fe}_2\text{O}_3(s) + 3\text{H}_2(g) \rightarrow 2\text{Fe}(s) + 3\text{H}_2\text{O}(l) \), given that \( \Delta_f H^\ominus[\text{H}_2\text{O}, l] = -285.83\text{ kJ mol}^{-1} \) and \( \Delta_f H^\ominus[\text{Fe}_2\text{O}_3, s] = -824.2\text{ kJ mol}^{-1} \).

1. A
   \( -16.6\text{ kJ mol}^{-1} \)
2. B
   \( +33.3\text{ kJ mol}^{-1} \)
3. C
   \( -33.3\text{ kJ mol}^{-1} \)
4. D
   \( +16.6\text{ kJ mol}^{-1} \)