Calculate the enthalpy of formation of methane from the following data: C(s)+O2(g)→CO2(g); ΔrH∘=−393.5kJ 2H2(g)+O2(g)→2H2O(l); ΔrH∘=−571.8kJ CH4(g)+2O2(g)→CO2(g)+2H2O(l); ΔrH∘=−890.3kJ
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Solution
Given:-
C(s)+O2(g)⟶CO2(g)ΔH=−393.5kJ.....(1)
2H2(g)+O2(g)⟶2H2O(l)ΔH=−571.8kJ.....(2)
CH4(g)+2O2(g)⟶CO2(g)+2H2O(l)ΔH=−890.3kJ
CO2(g)+2H2O(l)⟶CH4(g)+2O2(g)ΔH=890.3kJ.....(3)
Adding eqn(1),(2)&(3), we have
C(s)+2H2(g)⟶CH4(g)ΔH=−75kJ
Hence the enthalpy of formation of methane is −75kJ.