Standard states and standard enthalpies of formation

The standard state for a substance is the pure form at a pressure of 100 kPa and the temperature specified. At 25°C (298 K) the standard state for
 
  • carbon is C(s)
  • oxygen is O2(g)
  • calcium carbonate is CaCO3(s)

The standard enthalpy of formation (ΔfH°) for a compound is the enthalpy change for the reaction in which one mole of the compound in its standard state is formed from its elements in their standard state.

At 25°C
  • H2(g) + ½O2(g) H2O(l)
    ΔH° = ΔfH°(H2O, l)
     
  • C(s) + ½O2(g)  CO(g)
    ΔH° = ΔfH°(CO,g)

Note that this definition implies that the standard enthalpy of formation of elements is zero because H° for the reaction in which the elements are formed from themselves is zero.