Final answer:
The enthalpy change for the reaction Fe₂O₃(s) + CO(g) -> 2FeO(s) + CO₂(g) is -59.8 kJ.
Step-by-step explanation:
The enthalpy change for the reaction Fe₂O₃(s) + CO(g) -> 2FeO(s) + CO₂(g) can be determined using Hess's law and the given data. We can write two equations that can be added together to give the desired equation:
Fe₂O₃(s) + 3CO(g) -> 2Fe(s) + 3CO₂(g) ΔH° = -26.8 kJ
FeO(s) + CO(g) -> Fe(s) + CO₂(g) ΔH° = -16.5 kJ
By reversing the second equation and multiplying it by 2, we can cancel out the FeO(s) and CO(g) terms and obtain the desired equation.
The enthalpy change for the reaction Fe₂O₃(s) + CO(g) -> 2FeO(s) + CO₂(g) is (-26.8 kJ) + 2*(-16.5 kJ) = -59.8 kJ.