The enthalpy change for the reaction H2O(g) → H2(g) + ½O2(g) is +241.8 kJ.
In the given reaction: 2H2(g) + O2(g) → 2H2O(g), the enthalpy change (ΔH) is -483.6 kJ.
The question asks for the enthalpy change for the reverse reaction: H2O(g) → H2(g) + ½O2(g).
To find this, we can apply Hess's Law.
We can reverse the given reaction and change the sign of the enthalpy change, which would give us: 2H2O(g) → 2H2(g) + O2(g) with ΔH = +483.6 kJ.
Since we need the enthalpy change for 1 mole of H2O, we divide the enthalpy change by 2, resulting in a ΔHrxn of +241.8 kJ.