Equilibrium constants relationship with Gibbs energy change

By starting with the relationship between standard Gibbs energy change and the equilibrium constant, the van t Hoff equation—relating the equilibrium constant and temperature—can be written (equation 13.25). With this equation, tabulated data at 25 °C can be used to determine equilibrium constants not just at 25 °C but at other temperatures as well. 

The Van t Hoff isotherm establishes the relationship between the standard free energy change and the equilibrium constant. It is of interest to know how the equilibrium constant of a reaction varies with temperature. The Varft Hoff isochore allows one to calculate the effect of temperature on the equilibrium constant. It can be readily obtained by combining the Gibbs-Helmholtz equation with the Varft Hoffisotherm. The relationship that is obtained is... 

The relationship (Equation 4.3) that correlates energy change with equilibrium constant involves standard enthalpy (AH°), temperature (K), and standard entropy (AS°) and is called the Gibbs standard free energy (AG°) ... 

The quantitative measure for the electron-donating ability of solvents is adequately given by reaction enthalpy e.g., for reaction (1.11.11) it is [D SbCl5]. Very diluted solutions are used in practice so that gas laws can be applied. Changes in the Gibbs energy (AG°) can be determined by spectroscopic and NMR measurements, thus enabling determination of the equilibrium constants of reactions with certain solvents. A linear relationship has... 

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