Reversible Reaction with Dimerization of an Intermediate

We admit that all the examples, discussed in this chapter, represent only particular cases of inverse problems in chemical kinetics. One needs some universal approach that could be applied to the majority of the inverse problems, if not all of them. Obviously, such approach has to be solely based on numerical computations as the mathematical models for the majority of reaction mechanisms cannot be analytically integrated. 

Consider the problem of finding the kinetic parameters for a kinetic scheme where the final product D is formed by reversible dimerization of the intermediate C. 

The reaction mixture initially consists of the reagents A and B with the concentrations 2 and 3 M respectively. Concentrations of the compounds C and D were experimentally registered at the specific moments of time t (Table 4.9). It is necessary to define the rate constants for each step - k, k2, k, and 4. 

This problem can be found in a manual for the Mlab software suite developed by Civilized, Inc (should not be confused with MATLAB). The problem is really 

This reaction scheme was previously discussed in Sect. 2.1 and we proved that its mathematical model is defined by a system of two differential equations. 

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