Page 63 - Chemical equilibria Volume 4
P. 63

Let us first write the synthesis reactions for the three components present
                           in the system:            Properties of States of Physico-Chemical Equilibrium     39
                                       =
                                  +
                                 C4H CH     4
                                       =
                                  +
                                 C2O CO
                                            2
                                  +
                                      =
                                 CO CO
                             Algebraically, by linear  combination, we eliminate the monoxygen,
                           which is absent from the system (whereas the element carbon is present in
                           the form of graphite). In order to do so, we consider the last two equations,
                           and by multiplying the last equation by 2, we obtain:
                                 2CO = CO +  C
                                          2
                             We find ourselves with two reactions:

                                  +
                                       =
                                 C4H CH     4
                                 2CO CO +    C
                                     =
                                          2
                             The first reaction involves the element hydrogen, which is neither present
                           in the system nor algebraically eliminable, so this equation is eliminated. As
                           no chemical species is present in more than one phase at a time, there is no
                           phase transfer to be taken into account. Ultimately, the balance equation:

                                 2CO = CO +  C
                                          2

                           constitutes a base for our vector space, which is one-dimensional. There is
                           only one independent equilibrium in our system.

                           NOTE 2.2.– dioxygen can be ignored in certain experimental conditions and
                           in view of certain problems. If experience undermines this hypothesis, then
                           we must take this into consideration, as well as its synthesis reaction. The
                           system then becomes two-dimensional with two independent reactions.

                             Ionic aqueous solutions – in the case of ionic solutions, we first draw up
                           a list of all the species (ions and neutral molecules) present in the solution.
                           Then, we write Bronsted’s weak-acid–weak-base equilibria and the redox
                           reactions, the complexation reactions and finally the reactions of
                           precipitation of solid phases.
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