It is useful to be able to compare
reaction enthalpies, such as standard combustion enthalpies, particularly as the enthalpies for many combustion reactions can be measured directly in a calorimeter.
However, standard reaction enthalpies are only the
difference between the
total enthalpies of reactants and the
total enthalpies of products. An even more useful standard enthalpy change for comparison purposes is the
standard enthalpy of formation (ΔfH°). This
is the
enthalpy change for the reaction in which
one mole of substance in the
standard state is formed from its
elements in their
standard state.
At 25°C the enthalpy changes for the reactions shown are equal to the enthalpies of formation.
H
2(g) + ½O
2(g)

H
2O(l)
ΔH° = ΔfH°(H2O,l)
C(s) + O
2(g)

CO
2(g)
ΔH° = ΔfH°(CO2,g)
Note:
The number of reactants in the defining equation equals the number of elements in the product.
The coefficient of the product substance MUST be 1. Fractional coefficients may be needed on reactants.
Note that many compounds cannot be formed directly from their elements (NH4Cl). The standard enthalpy of formation for such compounds is calculated by combining the enthalpy changes in an indirect pathway between the elements and the compound.
This definition implies that the
standard enthalpy of formation of elements in their standard state is zero because Δ
H° for the reaction in which an element in its standard state is formed from an element in its standard state is zero.
O
2(g)

O
2(g) Δ
H° = Δ
fH°(O
2) = 0
Enthalpies of formation defined in this way are very
useful because if we know the
enthalpies of the various
substances involved in a reaction
relative to their elements, then the
enthalpy change accompanying the
reaction can be calculated.