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The inequality between $\mathcal{L}^2(\Delta{t})$ and $\mathcal{J}(\Delta{t})$ measures not only the amount of static and dynamic order in a first order irreversible decay process, but also in second order, mixed second order, and $n^{th}$ higher  order irreversible decay reactions. processes.  All of these inequalities rely on two functions of the time dependent rate coefficient, the statistical length and divergence. The inequality between the statistical length and Fisher divergence measures the amount of static and dynamic disorder in the rate coefficient. A single rate coefficient is sufficient only when $\mathcal{L}^2(\Delta{t})$=$\mathcal{J}(\Delta{t})$, and is when classical kinetics truly works. This research presents an important discovery and may prove to be very helpful when the order of the reaction is not known. This can be accomplished by fitting data to a survival function and using the proper definition of the time dependent rate coefficient. From that, the difference between the statistical length squared and divergence can be calculated. The smallest difference between the two shows which order the reaction is.  In the future this work may be useful at looking at other kinetic theories such as Michaelis-Menten kinetics.