Forward and backward reaction affinities

We consider a simple reaction from reactant R to product P in Eqn. 7-8 these R and P are the particles of Boltzmann statistics  

In Eqn. 7-9 A and A are defined as the forward and the backward reaction affinities, respectively. A corresponds to the energy (fiee enthalpy) of the reactant particles and A corresponds to the energy (fioe enthalpy) of the product particles as shown in Eqn. 7-10  

In general, the forward and backward reaction affinities A and A are directly related to the forward and backward reaction rates, respectively. 

We consider a simple reaction composed of only a single elementary step of reacting particles that obey the Boltzmann distribution function. Then, the reaction rate, v, is given in Eqn. 7-13 [Rysselberghe, 1963]  

The ratio of the forward rate to the backward rate is then given by Eqn. 7-16  

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