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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 have been studied in first order irreversible decay reactions previously[insert citation]. However what if a model is chosen with higher order kinetics, or taking the generalist can we define useful kinetic information for a general mechanism  of nth $n^{th}$  order kinetics? In this work we propose a method for studying these more complex cases in chemical kinetics propopsinmg theory to analyze disorder  in the complete generqality of nth $n^{th}$  order kinetics  and provide detailed  proof of principle analyses for second order kinetics and mixed order kinetics for irreversible decay phenominium. We then connect this theory to previously accepted work on first order kinetics showing how the model simplifies in a consistent manner when working with first order models.  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 This inequality  hasrecently  been shown that an inequality between the statistical length squared and the divergence can numerically represent interpreted as a measure of  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, can be. It captures the fluctuations associated  withtwo of  the same or different molecules, which can also be treated as a rate coefficient for  first order reaction by using a pseudo-first order rate coefficient. The focus of irreversible decay processes. In  this research is making the inequality between statistical length work we expand on this idea providing more generality  and divergence, which quantitatively measures utility to  the disorder of a rate coefficient, extend theory by gernealizing  to higher order reactions. kinetics.  The most important piece in extending current theory to higher order irreversible decay is determining the time dependent rate coefficient, which is dependent on the order of reaction. The statistical length and divergence are both functions of the time dependent rate coefficient.  \begin{equation}