Page 149 - Chemical equilibria Volume 4
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Determination of the Values Associated with Reactions – Equilibrium Calculations     125
                                       =
                                     0
                                                      1
                                                      −
                                 Δ h
                                         571,70 kJ.mol ²
                                  R
                                   6 298
                             The inverse reaction of the reaction of dissociation of hydrogen is:
                                H 2(gas) = 2H(gas)                                       [4R.7]
                                 Δ h 0  = 871.86 kJ.mol − 1
                                  R
                                   7 298
                             Finally, we have the reaction of sublimation of graphite:
                                C(graphite) = C(gas)                                     [4R.8]
                                 Δ h 0  =  716.682 kJ.mol − 1
                                  R 8 298
                             The sum of  reactions  [4R.4] to  [4R.8] gives us the following for the
                           dissociation of methane:

                                CH 4(gas) = C(gas) + 4 H(gas)                            [4R.9]

                             This sum gives us:
                                                      −
                                                       1
                                 Δ h 0  = 1663.39kJ.mol
                                   9 298
                                  R
                             This sum can be considered as being four times the energy of the C-H
                           bond, which therefore is:
                                                   −
                                ε    =  415.85 kJ.mol
                                                    1
                                   −
                                  CH
                             Note that many bond energies use the sublimation of graphite, for which,
                           as pointed out above, it is difficult to obtain a value. This accounts for the
                           sometimes-divergent values noted between different sources of values of
                           those bond energies – the divergence stems from a difference in the choice
                           of the sublimation energy of graphite. Thus, the value of the C-H bond is
                           given as 388.74 kJ/mol by the Handbook der Physik, based on a value of
                           627 kJ/mol for the sublimation of graphite, whereas Pauling, in 1945, gave
                           the value 364.91kJ/mol,  based on graphite sublimation at 578.74 kJ/mol,
                           and in 1948, Gerö and Valatin gave the value of 405.46 kJ/mol, based on
                           709.35 kJ/mol for graphite sublimation. The value calculated above is
                           716.68 kJ/mol, and it is this reading which we use as the basis for the values
                           reported in Table 4.4.
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