Catalysis Bronsted relationship between dissociation

If a proton-transfer reaction is visualized as a three-body process (Bell, 1959b), a linear free energy relationship is predicted between the acid dissociation constant, Aha, and the catalytic coefficient for the proton-transfer reaction, HA. Figure I shows the relationships between ground-state energies and transition-state energies. This is a particular case of the Bronsted Catalysis Law (Bronsted and Pedersen, 1924) shown in equation (9). The quantities p and q are, respectively, the number of... 

The relationship between the ability of a buffer component to catalyse hydrolysis, denoted by the catalytic coefficient, k, and its dissociation constant, K, may be expressed by the Bronsted catalysis law as... 

The rate constants for the dissolution of cellulose acetate phthalate in solutions of different basic salts were determined using an automatic pH-stat method. A linear relationship between the logarithm of the rate constants and the pRg of the basic salts was observed. Evidence was given that the rate of proton transfer, which leads to the dissociation and, consequently, to the dissolution of the polymer, is the rate determining step and is governed by the Bronsted catalysis law."... 

As might be expected intuitively, there is a relationship between the effectiveness of general acid catalysts and the acid strength of a proton donor as measured by its acid dissociation constant K. This relationship is expressed by the following equation, which is known as the Bronsted catalysis law ... 

For many reactions which show general acid catalysis, the catalytic constant, k, is related to the strength of the catalyzing acid the stronger the acid, the better it is as a catalyst. Such a qualitative connection is inherently reasonable, but in many cases a precise quantitative relationship between K and K, the dissociation constant of the acid, is well obeyed. Following Bronsted and Pedersen (1924), this relationship may be written in the form of equation (24),... 

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