Solution to Equation for

Equation 4.163 can be solved using numerical methods. However, a good approximate solution of this equation can be derived as follows. First, note that at e = 0, 

FIGURE 4.20 Polarization curves of the CCL for the dimensionless diffusion coefficients of 2.59. The points the exact numerical solution. The dashed hne the analytical Equation 4.170 with fc = 1 and y calculated from Equation 4.127. The dotted line Eiquation 4.170 with fc given hy Equation 4.171. The parameter s = 866. 

Equation 4.163 reduces to Equation 4.122, which has the solution given by Equation 4.127. Let this solution be yo. Since e is small, the solution to Equation 4.163 can be written as 

Substituting this expansion into Equation 4.163, expanding the left-hand side of the resulting equation over e, and retaining only the term that is linear in e, yields 

Taking into account that at the leading order, yo tan (yo/2) — Jo from the equation above, gives 

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Figure 21.9 Solutions to equations for the /i-anisidine problem (a) Electrode area vs. voltage for given conversions, (b) Electrode area vs. conversion for given current densities. Assumption = I...

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