Generalization for multiple reactions

When there is more than one reaction taking place at the same time, we need to introduce a further subscript to identify the reaction. For the case of M reactions involving N chemicals as reagents and products, there will be M chemical equations similar in form to chemical equation (13.14)  

The reaction rate relationship of equation (13.17) may be generalized to any number of reactants and products undergoing several reactions. Denoting by dMuj/dt the normalized reaction rate for reaction j, equation (13.17) becomes  

The reaction rate density for reaction j in units of kmol rxn/(m s) is then  

Equation (13.28) is the generalization to j reactions of equation (13.18). The equivalent generalization of equation (13.19) gives the reaction rate, ry, in terms of the concentrations of all the chemical species present  

Meanwhile the forward and backward velocity constants will have the generalized form  

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In order to perform these calculations, we need more tools than were required for a single reaction. In general, for multiple reactions... 

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