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Question

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.

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