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90     Chemical Equilibria
                             Coefficient β 2 may have a value of 0, in which case the equilibrium is
                           reached in the presence of an inert component of the solution – e.g. an inert
                           gas A 2.
                           3.5.1. Mode of representation

                             The composition of the mixture of the three components can, as in the
                           case of phase diagrams for ternary systems, be represented in the equilateral
                           triangle by using the representation shown in Figure 3.14. This presentation
                           uses the projections of the representative point P of a composition of the
                           milieu along the sides of the equilateral triangle. Thus, the molar fraction x 1
                           of component A 1 will be represented by the length of segment PB in
                           Figure 3.17 (B is the projection of point P along the side A 2A 3), and the
                           molar fraction x 3 of component A 3 will be represented by length PK (K is the
                           projection of point P along the side A 1A 2).

                                          y

                                      1              A 3



                                              B     x 1
                                      Q      N        P



                                                      x 3
                                                                    1
                                                    K                A 1            x
                                      A 2

                                    Figure 3.14. Ternary representation of a chemical equilibrium
                                       between three gases or three components of a solution



                             We shall use a certain number of characteristic curves in that diagram,
                           which we shall define by their equations in the case of perfect solutions. To
                           represent those curves, we shall use the system of rectangular axes defined
                           by an axis A 2x identical to the side A 2A 1 and an axis A 2y perpendicular at A 2
                           to the axis A 2x (Figure 3.14). The unit borne on each of the axes will be the
                           height of the equilateral triangle.
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