5. The overall reaction for the oxidation of NO to NO₂ is: 2NO(g) + O₂(g) → 2NO₂(g) The reaction proceeds by the following mechanism: NO + NO → N₂O₂ N₂O₂ → NO + NO N2O2 + O2 → NO₂ + NO₂ ka k'a kb (a) Verify that application of the steady-state approximation to the intermediate, N₂O2, results in the rate law: d[NO₂] 2kak [NO]²[0₂] dt ka + kb [0₂] (b) Show how the rate law simplifies (i) [0₂] is very large, and (ii) if [0₂] is very small. (c) Why might it be important to recognize how the rate law simplifies under the conditions of very large or very small [0₂]?

Chemistry: Principles and Practice
3rd Edition
ISBN:9780534420123
Author:Daniel L. Reger, Scott R. Goode, David W. Ball, Edward Mercer
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Chapter13: Chemical Kinetics
Section: Chapter Questions
Problem 13.94QE
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5. The overall reaction for the oxidation of NO to NO₂ is:
2NO(g) + O₂(g) → 2NO2(g)
The reaction proceeds by the following mechanism:
NO + NO → N₂O2
N₂O2 → NO + NO
N₂O2 + O₂ → NO₂ + NO₂
ka
ka
kb
(a) Verify that application of the steady-state approximation to the intermediate, N₂O2,
results in the rate law:
d[NO₂] 2kak [NO]²[0₂]
dt
ka + k₂ [0₂]
(b) Show how the rate law simplifies (i) [0₂] is very large, and (ii) if [0₂] is very
small.
(c) Why might it be important to recognize how the rate law simplifies under the
conditions of very large or very small [0₂]?
Transcribed Image Text:5. The overall reaction for the oxidation of NO to NO₂ is: 2NO(g) + O₂(g) → 2NO2(g) The reaction proceeds by the following mechanism: NO + NO → N₂O2 N₂O2 → NO + NO N₂O2 + O₂ → NO₂ + NO₂ ka ka kb (a) Verify that application of the steady-state approximation to the intermediate, N₂O2, results in the rate law: d[NO₂] 2kak [NO]²[0₂] dt ka + k₂ [0₂] (b) Show how the rate law simplifies (i) [0₂] is very large, and (ii) if [0₂] is very small. (c) Why might it be important to recognize how the rate law simplifies under the conditions of very large or very small [0₂]?
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