For methane formation: C(g)+2H2(g)→CH4(g).
Using enthalpy balance: ΔfH°=Bonds broken−Bonds formed.
Breaking: sublimation of C (Y) and 2 H-H bonds (2Z); Forming: 4 C-H bonds.
Energy equation: −X=Y+2Z−4B where B is C-H bond enthalpy.
Solving: 4B=X+Y+2Z, so B=4X+Y+2Z.