#124 For families of reactions, the Polanyi-Semenov equation

For families of reactions, the Polanyi-Semenov equation - chemical engineering

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For families of reactions, the Polanyi-Semenov equation can be used to estimate activation energies from the heats of reaction, -∆H_R according to the equation,

where alpha and C are constants. For exothermic reactions, alpha =-0.25 and C =48 kJ/mol, while for endothermic reactions, alpha =-0.75 and C = 48kJ/mol. However, these values may vary somewhat from reaction family to reaction family [K.J. Laidler, Theories of Chemical Reaction Rates (New York, R. E. Krieger, 1979), p. 38]. (Also see Appendix J)
Why is this a reasonable correlation?
Consider the following family of reactions:

Estimate the activation energy for the reaction

which has an exothermic heat of reaction of 6 kcal/mol (i.e., -Delta HR =-6 kcal/mol)
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