Given
(i) C2H6(g)+27O2(g)⟶2CO2(g)+3H2O(l)ΔHcomb°=−1560.0kJ/mole
(ii) C(s)+O2(g)⟶CO2(g)ΔHcomb°=−394.0kJ/mole
(ii) H2(g)+21O2(g)⟶H2O(g)ΔHcomb°=−286.0kJ/mole
Target 2C(s)+3H2(g)⟶C2H6(g)ΔHrx°=ΔHf°(C2H6,g)
ΔHr°=ΔHc°(reactant)−ΔHc°(Product)
=2×(−394)+3(−286)−(−1560)
=−788−858+1560
=−86.0KJ/mole