The enthalpies of formation of Al2O3 and Cr2O3 are −1569 KJ and −1134 KJ respectively. ΔH for the reaction
2Al + Cr2O3 → 2Cr + Al2O3 is
2Al + 32O2 → Al2O3 ΔH = −1596KJ ...............(i)
2Cr + 32O2 → Cr2O3, ΔH = −1134KJ ................(ii)
By (i) - (ii)
2Al + Cr2O3 → 2Cr + Al2O3, ΔH = −462KJ