Page 139 - Chemical equilibria Volume 4
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Determination of the Values Associated with Reactions – Equilibrium Calculations     115
                             A particular class of enthalpies of  formation is constituted by standard
                                                                              0
                           enthalpies of formation at a temperature T (written as  H ), which are those
                                                                             T
                           obtained when the compound and its elements are all in their standard state
                           at that temperature. Thus, we have the relation between standard enthalpy of
                           formation and enthalpy associated with the reaction of formation f:
                                   0
                                 H =  Δ h T 0                                            [4.19]
                                  T
                                       f
                             We shall see later on that the tables of thermodynamic data give all the
                           values of the standard enthalpies of formation at the temperature of 25°C or
                           298.15 K:  H  0 298  .

                           4.2.5.2. Use of the enthalpies of formation to calculate the standard
                           enthalpy of a reaction
                             If we know the enthalpies of formation of all the components of a
                           reaction, it is easy, by application of  Hess’s  law (see section 4.2.4.3)  to
                           calculate the standard enthalpy of the reaction at  the same temperature.
                           Application of relation [4.19] gives us:

                                    T ∑
                                 Δ h =    ν k H T 0 () k                                 [4.20]
                                    0
                                  r
                                        k
                           NOTE 4.1.– standard enthalpies of formation constitute a set of values of the
                           enthalpies of substances; it is the set of enthalpies at standard pressure for
                           which the origin zero is posited for the enthalpy of simple substances.

                           4.2.5.3. Determination of the enthalpies of formation
                             We can use three  methods to determine the standard enthalpy of
                           formation of a compound at a given temperature T:
                             – The first  method is to use calorimetry to experimentally measure the
                           direct synthesis reaction and then to use relation [4.19]. This method, which
                           is apparently simple, is in fact often difficult or even impossible to apply.
                           For example, in the case of methane synthesis, reaction [4R.1] is impossible
                           to perform directly.
                             – The second family  of  methods is the use of Hess’s theorem, as we
                           saw in section 4.2.4.3. In order to  do this, we need to have reactions
                           which will give us the formation reaction when combined linearly,
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