Chemistry: Atoms First
Chemistry: Atoms First
2nd Edition
ISBN: 9780073511184
Author: Julia Burdge, Jason Overby Professor
Publisher: McGraw-Hill Education
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Chapter 19.7, Problem 12PPA
Interpretation Introduction

Interpretation:

The reaction mechanism for the given chemical reaction should be showed that it is consistent with the given rate law of the chemical reaction.

Concept introduction:

In order to establish the plausibility of a mechanism, one must compare the rate law of the rate determining step to the experimentally determined rate law.

2NO + O2 = 2NO2.

This reaction has been well established as a third-order homogeneous reaction.

Rate determining step:

In a chemical reaction the rate determining step is the slowest step in which the rate of the reaction depends on the rate of that slowest step.

Rate law:

It is generally the rate equation that consists of the reaction rate with the concentration or the pressures of the reactants and constant parameters.

Expert Solution & Answer
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Answer to Problem 12PPA

At equilibrium the forward and reverse processes are occurring at the same rate, we can set their rates equal to each other and solve for the intermediate concentration.

Substituting the solution into the original rate law (rate=k2[N2O2][O2].) we will attain to the conclusion that the given reaction mechanism is consistent with the given rate law of the reaction.

Explanation of Solution

The rate law from the balanced equation of step 1 is as follows,

rateforward=k1[NO][Br2]ratereverse=k1[NOBr2]

At equilibrium both the forward and the reverse reaction rate occurs at the same time hence we can equate both the rate and obtain the value for intermediate concentration.

k1[NO][Br2]=k1[NOBr2][NOBr2]=k1[NO][Br2]k1

For step 2 the rate law is as follows,

rate=k2[NOBr2][NO]

Substituting the obtained intermediated concentration value to the rate law obtained for the chemical equation in step 2 as below,

rate=k2[NOBr2][NO]=k2k1[NO][Br2]k1[NO]

Now,

k=k2k1k1

Therefore,

rate=k2[NOBr2][NO]=k[NO][Br2][NO]=k[NO]2[Br2]

The given rate law for the reaction is rate=k[NO]2[Br2].

Hence it is proved that the given reaction mechanism is consistent with the given rate law of the chemical reaction.

Conclusion

The reaction mechanism for the given chemical reaction was showed that it is consistent with the given rate law of the chemical reaction.

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Chapter 19 Solutions

Chemistry: Atoms First

Ch. 19.4 - The gas-phase reaction of nitric oxide with...Ch. 19.4 - Prob. 3PPACh. 19.4 - Prob. 3PPBCh. 19.4 - Prob. 3PPCCh. 19.4 - Prob. 19.4.1SRCh. 19.4 - Prob. 19.4.2SRCh. 19.4 - Prob. 19.4.3SRCh. 19.4 - Prob. 19.4.4SRCh. 19.4 - Prob. 19.4.5SRCh. 19.5 - Prob. 19.4WECh. 19.5 - Prob. 4PPACh. 19.5 - Prob. 4PPBCh. 19.5 - Prob. 4PPCCh. 19.5 - Prob. 19.5WECh. 19.5 - Prob. 5PPACh. 19.5 - Prob. 5PPBCh. 19.5 - Prob. 5PPCCh. 19.5 - Prob. 19.6WECh. 19.5 - Prob. 6PPACh. 19.5 - Calculate the rate constant for the first-order...Ch. 19.5 - Prob. 6PPCCh. 19.5 - Prob. 19.7WECh. 19.5 - The reaction 2A B is second order in A with a rate...Ch. 19.5 - Prob. 7PPBCh. 19.5 - Prob. 7PPCCh. 19.5 - Prob. 19.5.1SRCh. 19.5 - Prob. 19.5.2SRCh. 19.5 - Prob. 19.5.3SRCh. 19.5 - Prob. 19.5.4SRCh. 19.6 - Prob. 19.8WECh. 19.6 - Prob. 8PPACh. 19.6 - Prob. 8PPBCh. 19.6 - Prob. 8PPCCh. 19.6 - Prob. 19.9WECh. 19.6 - Prob. 9PPACh. 19.6 - Prob. 9PPBCh. 19.6 - Prob. 9PPCCh. 19.6 - Prob. 19.10WECh. 19.6 - Prob. 10PPACh. 19.6 - Prob. 10PPBCh. 19.6 - Prob. 10PPCCh. 19.6 - Prob. 19.6.1SRCh. 19.6 - Prob. 19.6.2SRCh. 19.7 - Prob. 19.11WECh. 19.7 - Prob. 11PPACh. 19.7 - Prob. 11PPBCh. 19.7 - Prob. 11PPCCh. 19.7 - Consider the gas-phase reaction of nitric oxide...Ch. 19.7 - Prob. 12PPACh. 19.7 - Prob. 12PPBCh. 19.7 - Prob. 12PPCCh. 19.7 - Prob. 19.7.1SRCh. 19.7 - Prob. 19.7.2SRCh. 19.7 - Prob. 19.7.3SRCh. 19.7 - Prob. 19.7.4SRCh. 19 - The rate of a reaction in which the reactant...Ch. 19 - The rate of a reaction in which the reactant...Ch. 19 - The rate of a reaction in which the reactant...Ch. 19 - Increasing the temperature of a reaction increases...Ch. 19 - Define activation energy. What role does...Ch. 19 - Sketch a potential energy versus reaction progress...Ch. 19 - The reaction H + H2 H2 + H has been studied for...Ch. 19 - What is meant by the rate of a chemical reaction?...Ch. 19 - Distinguish between average rate and instantaneous...Ch. 19 - What are the advantages of measuring the initial...Ch. 19 - Prob. 19.7QPCh. 19 - Consider the reaction N2(g)+3H2(g)2NH3(g) Suppose...Ch. 19 - Prob. 19.9QPCh. 19 - Prob. 19.10QPCh. 19 - Prob. 19.11QPCh. 19 - Prob. 19.12QPCh. 19 - Prob. 19.13QPCh. 19 - What are the units for the rate constants of...Ch. 19 - Consider the zeroth-order reaction: A product....Ch. 19 - Prob. 19.16QPCh. 19 - Prob. 19.17QPCh. 19 - Prob. 19.18QPCh. 19 - Prob. 19.19QPCh. 19 - Prob. 19.20QPCh. 19 - Prob. 19.21QPCh. 19 - Prob. 19.22QPCh. 19 - Prob. 19.23QPCh. 19 - Prob. 19.24QPCh. 19 - Prob. 19.25QPCh. 19 - Prob. 19.26QPCh. 19 - Prob. 19.27QPCh. 19 - Prob. 19.28QPCh. 19 - Prob. 19.29QPCh. 19 - Prob. 19.30QPCh. 19 - Prob. 19.31QPCh. 19 - Prob. 19.32QPCh. 19 - Prob. 19.33QPCh. 19 - Consider the first-order reaction X Y shown here,...Ch. 19 - Prob. 19.35QPCh. 19 - Consider the first-order reaction A B in which A...Ch. 19 - Prob. 19.37QPCh. 19 - Prob. 19.38QPCh. 19 - Prob. 19.39QPCh. 19 - Prob. 19.40QPCh. 19 - Prob. 19.41QPCh. 19 - Prob. 19.42QPCh. 19 - Prob. 19.43QPCh. 19 - Prob. 19.44QPCh. 19 - Prob. 19.45QPCh. 19 - The rate at which tree crickets chirp is 2.0 102...Ch. 19 - Prob. 19.47QPCh. 19 - The activation energy for the denaturation of a...Ch. 19 - Variation of the rate constant with temperature...Ch. 19 - Prob. 19.50QPCh. 19 - Prob. 19.51QPCh. 19 - Prob. 19.52QPCh. 19 - Prob. 19.53QPCh. 19 - What is an elementary step? What is the...Ch. 19 - Prob. 19.55QPCh. 19 - Determine the molecularity, and write the rate law...Ch. 19 - What is the rate-determining step of a reaction?...Ch. 19 - Prob. 19.58QPCh. 19 - Prob. 19.59QPCh. 19 - Classify each of the following elementary steps as...Ch. 19 - Prob. 19.61QPCh. 19 - Prob. 19.62QPCh. 19 - Prob. 19.63QPCh. 19 - Prob. 19.64QPCh. 19 - Prob. 19.65QPCh. 19 - What are the characteristics of a catalyst?Ch. 19 - Prob. 19.67QPCh. 19 - Prob. 19.68QPCh. 19 - The concentrations of enzymes in cells are usually...Ch. 19 - Prob. 19.70QPCh. 19 - Prob. 19.71QPCh. 19 - Prob. 19.72QPCh. 19 - Prob. 19.73QPCh. 19 - Prob. 19.74QPCh. 19 - Prob. 19.75QPCh. 19 - In a certain industrial process involving a...Ch. 19 - Prob. 19.77QPCh. 19 - Prob. 19.78QPCh. 19 - Explain why most metals used in catalysis arc...Ch. 19 - Prob. 19.80QPCh. 19 - Prob. 19.81QPCh. 19 - Prob. 19.82QPCh. 19 - Prob. 19.83QPCh. 19 - Prob. 19.84QPCh. 19 - The bromination of acetone is acid-catalyzed. The...Ch. 19 - The decomposition of N2O to N2 and O2 is a...Ch. 19 - Prob. 19.87QPCh. 19 - Prob. 19.88QPCh. 19 - The integrated rate law for the zeroth-order...Ch. 19 - Prob. 19.90QPCh. 19 - Prob. 19.91QPCh. 19 - Prob. 19.92QPCh. 19 - The reaction of G2 with E2 to form 2EG is...Ch. 19 - Prob. 19.94QPCh. 19 - Prob. 19.95QPCh. 19 - Prob. 19.96QPCh. 19 - Strictly speaking, the rate law derived for the...Ch. 19 - Prob. 19.98QPCh. 19 - The decomposition of dinitrogen pentoxide has been...Ch. 19 - Prob. 19.100QPCh. 19 - Prob. 19.101QPCh. 19 - Prob. 19.102QPCh. 19 - To prevent brain damage, a standard procedure is...Ch. 19 - Prob. 19.104QPCh. 19 - Prob. 19.105QPCh. 19 - Prob. 19.106QPCh. 19 - Prob. 19.107QPCh. 19 - Prob. 19.108QPCh. 19 - Prob. 19.109QPCh. 19 - Prob. 19.110QPCh. 19 - (a) What can you deduce about the activation...Ch. 19 - Prob. 19.112QPCh. 19 - Prob. 19.113QPCh. 19 - Prob. 19.114QPCh. 19 - Prob. 19.115QPCh. 19 - Prob. 19.116QPCh. 19 - Prob. 19.117QPCh. 19 - Prob. 19.118QPCh. 19 - Prob. 19.119QPCh. 19 - Prob. 19.120QPCh. 19 - Prob. 19.121QPCh. 19 - Prob. 19.122QPCh. 19 - Consider the following potential energy profile...Ch. 19 - Prob. 19.124QPCh. 19 - Prob. 19.125QPCh. 19 - Prob. 19.126QPCh. 19 - Prob. 19.127QPCh. 19 - Prob. 19.128QPCh. 19 - The following expression shows the dependence of...Ch. 19 - Prob. 19.130QPCh. 19 - The rale constant for the gaseous reaction H2(g) +...Ch. 19 - Prob. 19.132QPCh. 19 - Prob. 19.133QPCh. 19 - At a certain elevated temperature, ammonia...Ch. 19 - Prob. 19.135QPCh. 19 - The rate of a reaction was followed by the...Ch. 19 - Prob. 19.137QPCh. 19 - Prob. 19.138QPCh. 19 - Prob. 19.1KSPCh. 19 - Prob. 19.2KSPCh. 19 - Prob. 19.3KSPCh. 19 - Prob. 19.4KSP
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