Given:-
Combustion of C2H6-
C2H6(g)+72O2(g)⟶2CO2(g)+3H2O(l)ΔH=−397.8kcal.....(1)
2C(s)+3H2(g)⟶C2H6(g)ΔH=−21.1kcal.....(2)
H2(g)+12O2(g)⟶H2O(l)ΔH=−94.1kcal
H2O(l)⟶H2(g)+12O2(g)ΔH=+94.1kcal
3×[H2O(l)⟶H2(g)+12O2(g)ΔH=+94.1kcal]
3H2O(l)⟶3H2(g)+32O2(g)ΔH=+282.3kcal.....(3)
Adding equation (1),(2)&(3), we get
2C(s)+2O2(g)⟶2CO2(g)ΔH=−136.6Kcal
12×(2C(s)+2O2(g)⟶2CO2(g)ΔH=−136.6Kcal]
C(s)+O2(g)⟶CO2(g)ΔH=−68.3Kcal
Hence the heat of foemation of CO2 will be −68.6kcal.