Equilibrium in Systems of Reactions

Since this is not the place to go into the niceties of the thermostatics of nonideal substances we will consider only the case of ideal behaviour. The proper reaction assfs = 0 will come to equilibrium when 

By the principle of microscopic reversibility all the reactions of the set 0tr must be severally at equilibrium if the set as a whole is at equilibrium. The constants x are the logarithms of the conventional equilibrium constants. 

JTheorem 11. // %, and 0tT are two equivalent sets of reactions, related by 0lf = y 0lr, their sets of equilibrium constants are related bylif = yrfXr. 

The equations In cs = xr and 2 a In cs = x must both hold for the equilibrium composition since they are equivalent descriptions of the equilibrium state. Multiplying the first set of equations by the matrix y gives immediately 

Since each concentration cs may be related to its initial value eg by cs = eg + i ocf, the problem of determining the equilibrium composition is that of solving the r simultaneous non-linear equations  

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