# The decomposition of N 2 O 5 is a first-order process. How many half-lives would be required to decompose 99% of the sample? (a) 7 (b) between 6 and 7 (c) 5 (d) between 5 and 6

### Chemistry & Chemical Reactivity

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

Chapter
Section

### Chemistry & Chemical Reactivity

9th Edition
John C. Kotz + 3 others
Publisher: Cengage Learning
ISBN: 9781133949640
Chapter 14.4, Problem 1RC
Textbook Problem
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## The decomposition of N2O5 is a first-order process. How many half-lives would be required to decompose 99% of the sample? (a) 7 (b) between 6 and 7 (c) 5 (d) between 5 and 6

Interpretation Introduction

Interpretation:

The number of half-lives should be identified.

Concept introduction:

The Reaction Rate for a given chemical reaction is the measure of the change in concentration of the reactants or the change in concentration of the products per unit time.

### Explanation of Solution

(a)

The given reaction is shown below,

thereactionis100%therefore,1st decomposition=50% decomposed2nddecomposition=75%decomposed3rddecomposition=87.5%decomposed4thdecomposition=93.5%decomposed5thdecomposition=96.625%decomposed6thdecomposition=98.1875%decomposed7thdecomposition=99%decomposedso,the decompositions 99% compound is aboutbetween 6and7.thereactionis100%oftheproductanditdecompose,itwillform50%oftheproduct,iscalled1st decompositionthe50%oftheproductanditdecompose,itwillform25%oftheproduct,iscalled2st decompositionthe25%oftheproductanditdecompose,itwillform12

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