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Ch.14 - Chemical Kinetics
Chapter 14, Problem 114c

A proposed mechanism for the oxidation of nitric oxide to nitrogen dioxide was described in Problem 14.29. Another possible mechanism for this reaction is
(c) Relate the rate constant k to the rate constants for the elementary reactions.

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1
Identify the elementary reactions involved in the proposed mechanism.
Write the rate law for each elementary step based on its molecularity.
Determine the rate-determining step (RDS) of the mechanism, which is the slowest step.
Express the overall rate law in terms of the rate constant k and the rate constants of the elementary reactions.
Relate the rate constant k of the overall reaction to the rate constants of the elementary steps, considering the RDS and any fast equilibrium steps.

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Key Concepts

Here are the essential concepts you must grasp in order to answer the question correctly.

Rate Constant (k)

The rate constant (k) is a proportionality factor in the rate law of a chemical reaction, indicating the speed at which the reaction occurs. It is specific to a particular reaction at a given temperature and is influenced by factors such as concentration and activation energy. Understanding k is essential for relating the overall reaction rate to the concentrations of reactants.
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Elementary Reactions

Elementary reactions are single-step processes that describe the direct transformation of reactants into products. Each elementary reaction has its own rate constant, which contributes to the overall rate of a complex reaction mechanism. Analyzing these steps helps in understanding how the overall reaction rate can be derived from the individual steps.
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Reaction Mechanism

A reaction mechanism is a detailed description of the step-by-step sequence of elementary reactions that lead to the overall transformation of reactants into products. It provides insight into the pathway and intermediates involved in a reaction, allowing chemists to relate the rate constants of individual steps to the overall rate constant of the reaction.
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