Page 26 - Chemical equilibria Volume 4
P. 26

2     Chemical Equilibria
                             This formulation shows the algebraic stoichiometric numbers ν , which
                                                                                       i
                           are counted as positive for the end components and as negative for the initial
                           components. The sum is extended to all of the initial and final components.
                             Physical transformations  are characterized by the unit value of all the
                           stoichiometric numbers.
                             It is often useful for the balance equation to show the nature of the phases
                           in which the components are. In order to do this, a system of symbols as
                           outlined in Table 1.1 is included in the balance equations. According to this
                           system, the vaporization of pure liquid water in an atmosphere composed
                           solely of water is written as:

                                 (HO  ) {H O=  2  }                                      [1R.2]
                                   2

                                Symbol         Meaning         Symbol        Meaning

                                  {A}    Pure A in a gaseous phase   {{A}}   A in a gaseous mixture

                                  (A)     Pure A in a liquid phase   ((A))   A in a liquid solution
                                 <A>      Pure A in a solid phase   <<A>>   A in a solid solution


                                        Table 1.1. Symbolic representation of the phases of
                                               components in balance equations


                             The vaporization of water in air on the basis of a liquid solution is written as:

                                 ( ( HO )) { { H O=  2  }}                               [1R.3]
                                    2


                           1.1.2. Values associated with a transformation

                             To each transformation, for any extensive value A, we attribute a value,
                           written as  Δ A , called A associated with the transformation r. This value is
                                      r
                           defined, on the basis of the partial  molar values  A  of the components
                                                                           i
                           involved in the transformation, by the relation:

                                 Δ A = ∑ ν i  i A                                         [1.1]
                                  r
                                       i
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