Question
Show that Equation 3 of Problem $29-69$ can be written as$$2 \ln T_{\max }-\ln \alpha=\frac{E_{\text {ads }}}{R T_{\max }}+\ln \frac{E_{\text {ads }}}{R \tau_{0}^{-1}}$$What are the slope and intercept of a plot of $\left(2 \ln T_{\max }-\ln \alpha\right)$ versus $1 / T_{\max } ?$ 'The maximum desorption rates of CO from the 111 surface of palladium as a function of the rate of heating of the palladium surface are given below. Determine the values of $E_{a d s}$and $\tau_{0}^{-1}$ from these data. Use the results to determine $k_{d}$, the desorption rate constant, at $600 \mathrm{~K}$\begin{tabular}{cc}$\alpha / \mathrm{K} \cdot \mathrm{s}^{-1}$ & $T_{\max } / \mathrm{K}$ \\\hline $26.0$ & 500 \\$20.1$ & 496 \\$16.5$ & 493 \\$11.0$ & 487\end{tabular}
Step 1
We need to manipulate it to show that it can be expressed in the desired form. The original equation likely relates the maximum desorption rate, $\alpha$, to the temperature, $T_{\max}$, and the activation energy, $E_{\text{ads}}$. Show more…
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