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AP Chemistry
5.8 Reaction Mechanism and Rate Law
5.6 Reaction Energy Profile
5.4 Elementary Reactions
5.2 Introduction to Rate Law
AdvancedMCQMathematicalConceptualExperimental15.6k
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 \(300\ \text{K}\).

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.

StepElementary reactionRelative 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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