Page 172 - Chemical equilibria Volume 4
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148     Chemical Equilibria
                             – the descriptive form, if all the conditions were fixed, presents the values
                           of the enthalpy and entropy of  the system, its specific heat capacity at
                           constant volume and pressure (the Gibbs energy of the system must be null,
                           or in practice, extremely slight), the list of phases and their compositions,
                           etc.; or
                             – a graphical output, if one of the constraints was only to remain within a
                           specific range.


                             In fact, there are two main families of computation methods:
                             – the equilibrium-constant-based method;
                             – the  method of  minimization of the Gibbs energy, which is  most
                           commonly used for automated calculations.


                           4.10.3. Calculation method based on the equilibrium constants

                             By writing  the law of  mass  action for each of the independent
                           transformations and the  conservation of species, we obtain analytical
                           expressions (sometimes  making certain approximations to simplify the
                           calculations)  for the molar fractions (or partial pressures) of each of the
                           components as a function of the equilibrium variables, which may include
                           molar fractions (or partial pressures of certain components) and equilibrium
                           constants.

                             It must be acknowledged that the method quickly becomes highly tricky,
                           and is rarely possible without a certain degree of  approximation. Simple
                           software tools are able to perform a quick calculation, although it may not be
                           hugely accurate.

                             A variant of the method is particularly widely used for  quickly
                           performing the calculations for ionic  solutions: the predominant reaction
                           method, which is based  on the concept of thermodynamically-equivalent
                           systems. The  method is usually described when studying these ionic
                           reactions, for which it is very often employed.

                             Certain automated calculation software packages  use the equilibrium-
                           constants method.
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