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Kinetic Rate Equations in Integrated form for Single-Step Reactions Involving Different Types of Reactant

A method has been developed to obtain kinetic rate equations in integrated form for reactions involving two or three different types of reactant with different stoichiometries. The integrated rate equation of a reaction of desired order has been shown to be generated in a stepwise manner with the help of the integrated rate law(s) of lower order(s) by this procedure. The beauty of this procedure is that it is devoid of complicated integrations. This method has a particular mathematical importance, in that it can be used to solve first-order differential equations that involve different terms, each of which is associated with some arbitrary power.