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\end{equation}  From the survival function, the time dependent rate coefficient is  \begin{equation}  k(t)\equiv(\frac{d\frac{1}{(S(t)^{n-1)}}}{dt}) k(t)=(\frac{d\frac{1}{(S(t)^{n-1)}}}{dt})  \end{equation}  When it comes to mixed second order reactions, the rate law does not allow a survival function to be obtained for the process because the rate law only allows the survival function of one reactant to be looked at. The rate law of a mixed second order reaction is