Chapter 15: Problem 22
What are the four basic steps involved in heterogeneous catalysis?
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chapter 15: Problem 22
What are the four basic steps involved in heterogeneous catalysis?
These are the key concepts you need to understand to accurately answer the question.
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Get started for freeThe desorption (leaving of the surface) of a single molecular layer of \(n\) -butane from a single crystal of aluminum oxide is found to be first order with a rate constant of \(0.128 / \mathrm{s}\) at \(150 \mathrm{~K}\). a. What is the half-life of the desorption reaction? b. If the surface is initially completely covered with \(n\) -butane at \(150 \mathrm{~K},\) how long will it take for \(25 \%\) of the molecules to desorb (leave the surface)? For \(50 \%\) to desorb? c. If the surface is initially completely covered, what fraction will remain covered after 10 s? After 20 s?
The tabulated data show the rate constant of a reaction mea- sured at several different temperatures. Use an Arrhenius plot to determine the activation barrier and frequency factor for the reaction. $$ \begin{array}{cl} \text { Temperature (K) } & \text { Rate Constant (1/s) } \\ \hline 310 & 0.00434 \\ \hline 320 & 0.0140 \\ \hline 330 & 0.0421 \\ \hline 340 & 0.118 \\ \hline 350 & 0.316 \\ \hline \end{array} $$
Consider the reaction: $$ 8 \mathrm{H}_{2} \mathrm{~S}(g)+4 \mathrm{O}_{2}(g) \longrightarrow 8 \mathrm{H}_{2} \mathrm{O}(g)+\mathrm{S}_{8}(g) $$ Complete the table. $$ \begin{array}{lllll} \Delta\left[\mathrm{H}_{2} S\right] / \Delta t & \Delta\left[\mathrm{O}_{2}\right] / \Delta t & \Delta\left[\mathrm{H}_{2} \mathrm{O}\right] / \Delta t & \Delta\left[\mathrm{S}_{8}\right] / \Delta t & \text { Rate } \\ -0.080 \mathrm{M} / \mathrm{s} & & & & \\ \hline \end{array} $$
The rate constant \((k)\) for a reaction was measured as a function of temperature. A plot of \(\ln k\) versus \(1 / T(\) in \(\mathrm{K})\) is linear and has a slope of \(-1.01 \times 10^{4} \mathrm{~K}\). Calculate the activation energy for the reaction.
This reaction is first order in \(\mathrm{N}_{2} \mathrm{O}_{5}\) $$ \mathrm{N}_{2} \mathrm{O}_{5}(g) \longrightarrow \mathrm{NO}_{3}(g)+\mathrm{NO}_{2}(g) $$ The rate constant for the reaction at a certain temperature is \(0.053 / \mathrm{s}\) a. Calculate the rate of the reaction when \(\left[\mathrm{N}_{2} \mathrm{O}_{5}\right]=0.055 \mathrm{M}\). b. What would the rate of the reaction be at the concentration indicated in part a if the reaction were second order? Zero order? (Assume the same numerical value for the rate con- stant with the appropriate units.)
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