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114     Chemical Equilibria
                           4.2.4.3. Calculation of an enthalpy on the basis of a set of reaction
                           heats appropriately chosen and known
                             This method is based on the first law of thermodynamics, which enables
                           us to deduce that the enthalpy is a function of state. If we choose a certain
                           number of reactions such that – a linear combination of their balance
                           equations gives us the balance equation for the reaction under study; and we
                           know the enthalpies of the different reactions chosen then we know that,
                           between the enthalpy of the sought reaction  Δ H and those of the chosen
                                                                     r
                           reactions  Δ H , there is the same linear combination as that which  exists
                                     m
                           between the balance equations in the form:

                                 Δ  r  ∑ λ m Δ H =  m H                                   [4.18]
                                        k

                             This method enables us to determine the enthalpy at a specific
                           temperature provided the enthalpies of the combined reactions are known at
                           that same temperature.

                             In fact, this method is Hess’s long-established method for determining
                           reaction heats.


                           4.2.5. Enthalpies of formation

                             One category of reaction enthalpies plays a very particular role in the
                           methods for  determining the standard  enthalpy associated with  a reaction:
                           the enthalpies of formation.

                           4.2.5.1. Definition of the enthalpies of formation

                             The enthalpy of formation of substance is the enthalpy associated with
                           the reaction  to synthesize a  mole of that compound from its elements in
                           molecular form.

                             For example, the enthalpy  of formation of methane is the enthalpy
                           associated with the reaction:

                                C(graphite) + 2 H 2 = CH 4                               [4R.1]
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