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Jonathan Nichols edited Mixed Second Order Reactions.tex
over 9 years ago
Commit id: 89d44710ae7db0dc7243d97250aa9d9082668e2b
deletions | additions
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index 75d5a1d..79aa77f 100644
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Filling in $\frac{dx}{dt}$ in the integral and evaluating, we get that k(t)=$\omega$t, which goes on to provide the same results that are seen in first order, except that the statistical length and the divergence are no longer dimensionless since the second order rate constant has units of $\frac{1}{[concentration][time]}$. The inequality this result leads to has already been seen in first order kinetics as
\begin{equation}
\omega^2(\Delta{t})^2-(\omega\Delta t)^2\geq0
\end{equation}
Maybe add plot of (1)/(b0-a0)ln((a0b)/(b0a)) vs time?