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Rate coefficients are a vital part of any kinetics experiment. There are many instances where the traditional kinetic model does not sufficiently describe a population decaying over time [insert citation]. The overall rate coefficient may depend of a distribution of rate coefficients, or the rate coefficient may be time dependent. These models are respectively known as static and dynamic disorder[insert citation]. Both static and dynamic disorder havemostly  been studied in first order irreversible decay reactions[insert citation], but has now been studied reactions previously[insert citation]. However what if a model is chosen with higher order kinetics, or taking the generalist of nth order kinetics? In this work we propose a method for studying these more complex cases  in second, mixed second, chemical kinetics in the complete generqality of nth order  and $n^{th}$ proof of principle analyses for second  order kinetics and mixed order kinetics for  irreversible decay. decay phenominium.  An inequality between two important quantities known as the statistical length and Fisher divergence is able to quantitatively measure the amount of static and dynamic disorder of a rate coefficient over a period of time, and is able to determine when traditional kinetics is truly valid[insert citation]. When the inequality is minimized, the statistical description of rate coefficients is also minimized, which can help one determine the best data set to use during a kinetic analysis. This inequality measures the temporal and spatial variation in the rate coefficient. When there is no static or dynamic disorder, this inequality is reduced to an equality and it is the only time where traditional kinetics is truly valid. It has recently been shown that an inequality between the statistical length squared and the divergence can numerically represent how constant a rate coefficient is of a population irreversibly decaying over time in first order[insert citation]. But not every irreversible decay reaction is first order, showing that more theory is required to quantitatively measure flucuations of rate coefficients in higher order reactions. An irreversible decay reaction may follow second order kinetics, with two of the same or different molecules, which can also be treated as a first order reaction by using a pseudo-first order rate coefficient. The focus of this research is making the inequality between statistical length and divergence, which quantitatively measures the disorder of a rate coefficient, extend to higher order reactions.