CH3OH (l)--->CH3OH ΔH = 38 kJ/mol
1/2H2(g)------------->H(g) ΔH = 218 kJ/mol
C(graphite)-->C(g) ΔH = 715 kj/mol
1/2 O2---------->O(g) ΔH = 249 kJ/mol
CH(g)---------------> C(g) +H(g) ΔH= 415kJ/mol
C-O(g)---------->C(g) + O(g) ΔH= 356kJ/mol
O-H(g)--------------->O(g) + H(g) ΔH=463kJ/mol
For the calculation of ΔHf of CH3OH, the thermochemical equation is written as
C(s) + 2H2 +1/2 O2(g)----->CH3OH, ΔH=?-----(a)
On th basis of bond enthalpy concept,
ΔH = - {sum of bond enthalpy of all bonds of products - sum of bond enthalpies of all bonds of reactants}
ΔH = {(3 x EC-H + EC-O + EO-H) - (EC(s)----->C(g)+ E1/2 H-H(g) + E1/2O2(g)}
= - {(3 x 415 +356 +463) - (715 + 4 x 218 +249)}
ΔH = -228 kJ/mol -------- (answer of equation (a))
CH3OH (g) ------> CH3OH(l)--------- (b)
On adding two thermochemical equation (a) and (b),
ΔHf = -266kJ/mol,
Hence the answer.