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It is known that for a second-order reversible reactions 8 kinetic mechanisms are possible:
1) A1 + A2 <-> P1 + P2
2) A1 + A2 <-> 2 P
3) 2 A <-> P1 + P2
4) 2 A <-> 2 P
5) A1 + A2 <-> P
6) 2 A <-> P
7) A <-> P1 + P2
😎 A <-> 2 P
Here, A - reagent B - product.
I found a general solution for all the mechanisms that can be represented relatively simple formula

Where r.o - the initial reaction rate, alpha and beta - parameters that are dependent on the rate constants of the forward and reverse reactions and the initial concentrations of the reactants.
For each separate mechanism, these parameters have different values.
Accordingly, I want to make changes in the second edition of the material with respect to the second-order reversible reactions.

Оказывается, мой подход к анализу обратимых реакций второго порядка правильный.
См. дискуссию по механизму 5 на research.net:
Any literature reference for the kinetics of reversible bimolecular association? - ResearchGate
