   # The reaction A → B + C is known to be zero order in A and to have a rate constant of 5.0 × 10 −2 mol/L · s at 25°C. An experiment was run at 25°C where [A] 0 = 1.0 × 10 −3 M. a. Write the integrated rate law for this reaction. b. Calculate the half-life for the reaction. c. Calculate the concentration of B after 5.0 × 10 −3 s has elapsed assuming [B] 0 = 0. ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243

#### Solutions

Chapter
Section ### Chemistry: An Atoms First Approach

2nd Edition
Steven S. Zumdahl + 1 other
Publisher: Cengage Learning
ISBN: 9781305079243
Chapter 11, Problem 47E
Textbook Problem
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## The reaction A → B + C is known to be zero order in A and to have a rate constant of 5.0 × 10−2 mol/L · s at 25°C. An experiment was run at 25°C where [A]0 = 1.0 × 10−3 M.a. Write the integrated rate law for this reaction.b. Calculate the half-life for the reaction.c. Calculate the concentration of B after 5.0 × 10−3 s has elapsed assuming [B]0 = 0.

(a)

Interpretation Introduction

Interpretation: The rate constant and initial concentration of reactant for a zero order reaction is given. By using these values, the integral rate law, half life for this reaction and the concentration of one of the product after a given time is to be calculated.

Concept introduction: The change observed in the concentration of a reactant or a product per unit time is known as the rate of the particular reaction. The differential rate law provides the rate of a reaction at specific reaction concentrations.

To determine: The integrated rate law for the given reaction.

### Explanation of Solution

Given

The given reaction in which A is known to be a zero order is,

AB+C

The rate law in integral form is known as integrated rate law. It gives the relation between concentration of reactant or product with time

(b)

Interpretation Introduction

Interpretation: The rate constant and initial concentration of reactant for a zero order reaction is given. By using these values, the integral rate law, half life for this reaction and the concentration of one of the product after a given time is to be calculated.

Concept introduction: The change observed in the concentration of a reactant or a product per unit time is known as the rate of the particular reaction. The differential rate law provides the rate of a reaction at specific reaction concentrations.

To determine: The half-life for the reaction.

(c)

Interpretation Introduction

Interpretation: The rate constant and initial concentration of reactant for a zero order reaction is given. By using these values, the integral rate law, half life for this reaction and the concentration of one of the product after a given time is to be calculated.

Concept introduction: The change observed in the concentration of a reactant or a product per unit time is known as the rate of the particular reaction. The differential rate law provides the rate of a reaction at specific reaction concentrations.

To determine: The concentration of B after 5.0×103s .

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