# Nitryl bromide, NO 2 Br, decomposes into nitrogen dioxide and bromine. 2 NO 2 Br ( g ) → 2 NO 2 ( g ) + Br 2 ( g ) A proposed mechanism is NO 2 Br → NO 2 + Br ( slow ) NO 2 Br + Br → NO 2 + Br 2 ( fast ) Write the rate law predicted by this mechanism.

### General Chemistry - Standalone boo...

11th Edition
Steven D. Gammon + 7 others
Publisher: Cengage Learning
ISBN: 9781305580343

Chapter
Section

### General Chemistry - Standalone boo...

11th Edition
Steven D. Gammon + 7 others
Publisher: Cengage Learning
ISBN: 9781305580343
Chapter 13, Problem 13.117QP
Textbook Problem
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## Nitryl bromide, NO2Br, decomposes into nitrogen dioxide and bromine. 2 NO 2 Br ( g ) → 2 NO 2 ( g ) + Br 2 ( g ) A proposed mechanism is     NO 2 Br → NO 2 + Br       ( slow ) NO 2 Br + Br → NO 2 + Br 2       ( fast ) Write the rate law predicted by this mechanism.

Interpretation Introduction

Interpretation:

The rate law of the given reaction has to be written.

Concept Introduction:

The rate of reaction is the quantity of formation of product or the quantity of reactant used per unit time.  The rate of reaction doesn’t depend on the sum of amount of reaction mixture used.

The raise in molar concentration of product of a reaction per unit time or decrease in molarity of reactant per unit time is called rate of reaction and is expressed in units of mol/(L.s) .

The variation in concentration of reaction or product over a certain interval of time is called average reaction rate.

The equation that relates the reaction rate to the reactants concentrations that is raised to various powers is called as rate law.

Rate law can be determined by the slow step or otherwise called as rate-determining step.

To write the rate law for the reaction

### Explanation of Solution

The observed rate is determined by the slowest step, hence the overall rate constant k must be equal to the rate constant for the first step and the rate law can be given as,

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