Analysis of the Kinetic Case Diagram

We now present the analysis in terms of a kinetic case diagram. As a natural set of axes we first choose log O as ordinate and log o as abscissa. Hence movement along the ordinate takes us from thin to the thick films, and the movement along the abscissa takes us from a condition of reactant unsaturation to saturation. The case diagram is presented in Fig. 2.32. We see that four cases must be presented. The main approximate expressions for the flux or current are given by Eqn. 118 

FIGURE 2.32. Kinetic case diagram (log I versus log a) for electrocatalysis in a polymer film exhibiting Michaelis-Menten kinetics. The four major cases discussed in the text are illustrated. Also included as insets are approximate analytical expressions for the normalized flux for various limiting values of 4 and a. 

Mechanistic Indicators for Multicomponent Composite Systems Exhibiting Michaelis-Menten Kinetics 

Albery and coworkers proposed the following rather complex expression for the general case located near the origin in the case diagram  

This expression provides a link between Cases 1 and 2, and it is therefore valid for all values of the layer thickness where s K - Alternatively when a 1, we have 

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