AP Chemistry
5.8 Reaction Mechanism and Rate Law
5.6 Reaction Energy Profile
5.4 Elementary Reactions
5.2 Introduction to Rate Law
A student investigates the gas-phase reaction between nitrogen dioxide and carbon monoxide in a pollution-chemistry study.
\[ \text{NO}_2\text{(g)}+\text{CO}\text{(g)}\rightarrow \text{NO}\text{(g)}+\text{CO}_2\text{(g)} \]
The student obtains the following initial-rate data at \(300\ \text{K}\).
A proposed mechanism and estimated forward activation energies are shown below.
An Arrhenius plot constructed from additional trials gives an apparent activation energy of \(75\ \text{kJ mol}^{-1}\). Which statement best evaluates whether the proposed mechanism is consistent with the experimental kinetic data?
\[ \text{NO}_2\text{(g)}+\text{CO}\text{(g)}\rightarrow \text{NO}\text{(g)}+\text{CO}_2\text{(g)} \]
The student obtains the following initial-rate data at \(300\ \text{K}\).
| Trial | \([\text{NO}_2]\) | \([\text{CO}]\) | Initial rate |
|---|---|---|---|
| \(1\) | \(0.010\ \text{M}\) | \(0.010\ \text{M}\) | \(2.0\times10^{-5}\ \text{M s}^{-1}\) |
| \(2\) | \(0.020\ \text{M}\) | \(0.010\ \text{M}\) | \(8.0\times10^{-5}\ \text{M s}^{-1}\) |
| \(3\) | \(0.020\ \text{M}\) | \(0.020\ \text{M}\) | \(8.0\times10^{-5}\ \text{M s}^{-1}\) |
A proposed mechanism and estimated forward activation energies are shown below.
| Step | Elementary reaction | Relative rate | \(E_{a,\text{forward}}\) |
|---|---|---|---|
| \(1\) | \(2\text{NO}_2\text{(g)}\rightarrow\text{NO}_3\text{(g)}+\text{NO}\text{(g)}\) | Slow | \(75\ \text{kJ mol}^{-1}\) |
| \(2\) | \(\text{NO}_3\text{(g)}+\text{CO}\text{(g)}\rightarrow\text{NO}_2\text{(g)}+\text{CO}_2\text{(g)}\) | Fast | \(25\ \text{kJ mol}^{-1}\) |
An Arrhenius plot constructed from additional trials gives an apparent activation energy of \(75\ \text{kJ mol}^{-1}\). Which statement best evaluates whether the proposed mechanism is consistent with the experimental kinetic data?
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