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So O2 has zero of heat of formation (or enthalpy of formation). The enthalpy of a reaction is defined like this: H = Hproducts-H reactants. The enthalpy of reaction in this case, is the same as the heat of combustion. Hproducts is obtained summing the heats of formation.
We calculate the adiabatic flame temperature of a mixture of methane and oxygen in the presence of a diluent. gas then determine the mole fractions of methane without respect to nitrogen and solve for the moles of oxygen present.