   # Ozone, O 3 , in the Earth’s upper atmosphere decomposes according to the equation 2 O 3 (g) → 3 O 2 (g) The mechanism of the reaction is thought to proceed through an initial fast, reversible step followed by a slow, second step. Step 1: Fast, reversible O 3 (g) ⇄ O 2 (g) + O(g) Step 2: Slow O 3 (g) + O(g) → 2 O 2 (g) (a) Which of the steps is rate-determining? (b) Write the rate equation for the rate-determining step ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640

#### Solutions

Chapter
Section ### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 14, Problem 45PS
Textbook Problem
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## Ozone, O3, in the Earth’s upper atmosphere decomposes according to the equation2 O3(g) → 3 O2(g)The mechanism of the reaction is thought to proceed through an initial fast, reversible step followed by a slow, second step.Step 1: Fast, reversibleO3(g) ⇄ O2(g) + O(g)Step 2: SlowO3(g) + O(g) → 2 O2(g) (a) Which of the steps is rate-determining? (b) Write the rate equation for the rate-determining step

(a)

Interpretation Introduction

Interpretation:

For the given chemical reaction the rate determining step has to be determined.

2O3g3O2g

Concept introduction:

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.

Intermediate species: It is the species formed during the middle of the chemical reaction between the reactant and the desired product.

### Explanation of Solution

Examining the given chemical equations shows that the given reaction is a two-step process in which the first step is fast reversible step whereas the second step is a slow one...

(b)

Interpretation Introduction

Interpretation:

For the given chemical reaction the rate equation for that step has to be determined.

2O3g3O2g

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.

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.

Rate constant: The rate constant for a chemical reaction is the proportionality term in the chemical reaction rate law which gives the relationship between the rate and the concentration of the reactant present in the chemical reaction.

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