A simple formula is
proposed to describe the pressure dependence of the variable Φ in El?yanov and Gonikberg's linear
free energy relationship for ionization reactions in solution at high pressure.
��� The expression, given in equations (10) and
(12), provides a good description of the influence of pressure on ionization
equilibria in aqueous solutions. It permits El'yanov's
general linear relationships between Φ and ionization free energies,
enthalpies and entropies, pH and Hammett's p parameter, to be expressed in
terms of the pressure in convenient analytical forms. ��� The formula is shown to be consistent with
the simple electrostatic theory of ion hydration, allowing for the effect of
pressure on the dielectric constant of water. Combined with the theory, it
provides a general means of predicting ionization constants over a wide range
of pressures and temperatures simply from knowledge of the changes in molar
volume, enthalpy and entropy which accompany the reactions at atmospheric
pressure.
A study has been made of
the applicability of a linear free energy relationship describing the effect of
pressure on the equilibrium and rate constants of chemical reactions. Some
properties of the relationship have been analysed and corollaries, including
linear dependences, obtained which make it possible to calculate reaction
enthalpies and entropies, volume changes and Hammett's p-constants at high
pressures. Ionization reactions have been used as examples to illustrate the
conclusions arrived at. The linear free energy relationship has been shown to
describe the effect of pressure up to 8000 bars on the ionization constants of
acids and on the pH of buffer solutions.
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