Chapter 16: Problem 2
How does an increase in pressure affect the rate of a gasphase reaction? Explain.
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Key Concepts
These are the key concepts you need to understand to accurately answer the question.
Chapter 16: Problem 2
How does an increase in pressure affect the rate of a gasphase reaction? Explain.
These are the key concepts you need to understand to accurately answer the question.
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Get started for freeThe compound \(\mathrm{AX}_{2}\) decomposes according to the equation \(2 \mathrm{AX}_{2}(g) \rightarrow 2 \mathrm{AX}(g)+\mathrm{X}_{2}(g) .\) In one experiment, \(\left[\mathrm{AX}_{2}\right]\) was measured at various times and these data were obtained: $$ \begin{array}{cc} \text { Time (s) } & {\left[A X_{2}\right](\mathrm{mol} / \mathrm{L})} \\ \hline 0.0 & 0.0500 \\ 2.0 & 0.0448 \\ 6.0 & 0.0300 \\ 8.0 & 0.0249 \\ 10.0 & 0.0209 \\ 20.0 & 0.0088 \end{array} $$ (a) Find the average rate over the entire experiment. (b) Is the initial rate higher or lower than the rate in part (a)? Use graphical methods to estimate the initial rate.
At body temperature \(\left(37^{\circ} \mathrm{C}\right),\) the rate constant of an enzyme-catalyzed decomposition is \(2.3 \times 10^{14}\) times that of the uncatalyzed reaction. If the frequency factor, \(A,\) is the same for both processes, by how much does the enzyme lower the \(E_{\mathrm{a}}\) ?
What is the central idea of collision theory? How does this model explain the effect of concentration on reaction rate?
A gas reacts with a solid that is present in large chunks. Then the reaction is run again with the solid pulverized. How does the increase in the surface area of the solid affect the rate of its reaction with the gas? Explain.
The overall equation and rate law for the gas-phase decomposition of dinitrogen pentoxide are \(2 \mathrm{~N}_{2} \mathrm{O}_{5}(g) \longrightarrow 4 \mathrm{NO}_{2}(g)+\mathrm{O}_{2}(g) \quad\) rate \(=k\left[\mathrm{~N}_{2} \mathrm{O}_{5}\right]\) Which of the following can be considered valid mechanisms for the reaction? I One-step collision II \(2 \mathrm{~N}_{2} \mathrm{O}_{5}(g) \longrightarrow 2 \mathrm{NO}_{3}(g)+2 \mathrm{NO}_{2}(g) \quad[\) slow \(]\) \(2 \mathrm{NO}_{3}(g) \longrightarrow 2 \mathrm{NO}_{2}(g)+2 \mathrm{O}(g)\) [fast] \(2 \mathrm{O}(g) \longrightarrow \mathrm{O}_{2}(g)\) [fast] III \(\mathrm{N}_{2} \mathrm{O}_{5}(g) \rightleftharpoons \mathrm{NO}_{3}(g)+\mathrm{NO}_{2}(g)\) [fast] \(\mathrm{NO}_{2}(g)+\mathrm{N}_{2} \mathrm{O}_{5}(g) \longrightarrow 3 \mathrm{NO}_{2}(g)+\mathrm{O}(g) \quad\) [slow] \(\mathrm{NO}_{3}(g)+\mathrm{O}(g) \longrightarrow \mathrm{NO}_{2}(g)+\mathrm{O}_{2}(g) \quad[\) fast \(]\) \(\mathrm{IV} 2 \mathrm{~N}_{2} \mathrm{O}_{5}(g) \rightleftharpoons 2 \mathrm{NO}_{2}(g)+\mathrm{N}_{2} \mathrm{O}_{3}(g)+3 \mathrm{O}(g) \quad[\) fast \(]\) \(\mathrm{N}_{2} \mathrm{O}_{3}(g)+\mathrm{O}(g) \longrightarrow 2 \mathrm{NO}_{2}(g)\) [slow] \(2 \mathrm{O}(g) \longrightarrow \mathrm{O}_{2}(g) \quad[\) fast \(]\) \(\mathrm{V} \quad 2 \mathrm{~N}_{2} \mathrm{O}_{5}(g) \longrightarrow \mathrm{N}_{4} \mathrm{O}_{10}(g)\) [slow] \(\mathrm{N}_{4} \mathrm{O}_{10}(g) \longrightarrow 4 \mathrm{NO}_{2}(g)+\mathrm{O}_{2}(g)\) [fast]
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