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Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074

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BuyFindarrow_forward

Chemistry & Chemical Reactivity

10th Edition
John C. Kotz + 3 others
ISBN: 9781337399074
Textbook Problem

For a first-order reaction, what fraction of reactant remains after five half-lives have elapsed?

Interpretation Introduction

Interpretation:

Considering the first order reaction, the fraction of the reactant left after completion of five half-lives has to be determined.

Concept Introduction:

Half-Life: It is defined as the time required to reduce the concentration of reactant present in the reaction to one half of its initial value.

Rate order: It is represented by the exponential term of the respective reactant present in the rate law and the overall order of the reaction is the sum of all the exponents of all reactants present in the chemical reaction. The order of the reaction is directly proportional to the concentration of the reactants.

Explanation

The half-life for first order reaction is

t12=ln2kFractionafternt12=1

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