Given, C(graphite+O2(g)→CO2(g);ΔrHo=−393.5 kJ mol−1
H2(g)+12O2(g)→H2O(l);ΔrHo=−285.8 kJ mol−1
CO2(g)+2H2O(l)→CH4(g)+2O2(g);ΔrH6o=+890.3 kJ mol−1
Based on the above thermochemical wquations, the value of DeltarHo at 298K for the reaction,
C(graphite)+2H2(g)→CH4(g) will be:
C+O2→CO2 ΔHor=−393.5 kJ/mol ………….(i)
H2+1/2O2→H2O ΔHor=−285.8 kJ/mol ………….(ii)
CO2+2H2O→CH4+2O2 ΔHor=−890.3 kJ/mol ………….(iii)
So multiplying eq (2) with 2 and adding all reactions we get
C+2H2→CH4
ΔH=−393.5+2×(−285.8)+890.3
ΔH=−74.8 kJ/mol