Constant current applied to multi-step reactions

3 Constant current applied to multi-step reactions 

The potential p is the unknown here. Assume also reversibility, so that two equations of the type 4.42 apply. Let there be the gradients and g then 

From the fact that the sum of the fluxes is zero (Eq. 4.44) we can derive a further equation in the same way Eq. 4.52 was developed, of the form 

In both these equations, p appears in a number of exponential terms. In principle, there are just the two unknowns, c and p and the equations can therefore be solved. Furthermore, if we extend the treatment to m steps in general, this statement still holds. Clearly, however, the job is not a trivial one and my feeling is that we ought to avoid such experiments - or at least their simulations. 

For quasi reversible systems the same mess results and this book goes no further with constant current applied to multi-step reactions. The reader who cannot avoid these experiments is on his/her own. 

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