Finding change in enthalpy for a reaction with an atom in elemental state using bond energy
There are two things we need to note with this. For one, you need to know the bond enthalpies if you are going to obtain $\Delta H$, not the bond energies. Second, we can't just use the bond enthalpies in this case because that would ignore that we have $C(s)$ when we need $C(g)$ to make this reaction occur. We have to explicitly include the atomization energy of carbon (the energy needed to break graphite into single carbon atoms).