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Jason R. Green edited Irreversible kinetics.tex
over 9 years ago
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From the survival function, we define the time-dependent rate coefficient through an appropriate time derivative depending on the total order of reaction. For first-order irreversible decay reactions, $A\to \textrm{products}$ and $i=1$, the rate law defines the time-dependent rate coefficient
\begin{equation}
k_1(t) \equiv \frac{-d\ln
S(t)}{dt} S_1(t)}{dt}
\end{equation}
In traditional kinetics, the rate coefficient irreversible decay is assumed constant, in which case $k(t)\to\omega$. We define $k(t)$ from the appropriate survival function and rate law
\begin{equation}