Final answer:
The enthalpy of reaction is the same as the enthalpy of formation for option (A) 2 Fe (s) + 3/2 O2 (g) → Fe2O3 (s), as it represents the formation of 1 mole of iron(III) oxide from its elements in their standard states.
Step-by-step explanation:
The student is asking about the enthalpy change for a formation reaction, which is known as the enthalpy of formation. The enthalpy of formation represents the enthalpy change when 1 mole of a compound is formed from its elements in their standard states. For a reaction to represent the enthalpy of formation, it must form a compound from its constituent elements in their standard states, with the product being 1 mole of that compound.
Given the options, (A) 2 Fe (s) + 3/2 O2 (g) → Fe2O3 (s) is the reaction that represents the enthalpy of formation for iron(III) oxide, with iron and oxygen in their standard states combining to form exactly 1 mole of iron(III) oxide, Fe2O3. Hence, the enthalpy change for this reaction (ΔH) would be the same as the enthalpy of formation (ΔHf) for Fe2O3(s).