   # Distinguish between the differential rate law and the integrated rate law. Which of these is often called just the “rate law”? What is k in a rate law, and what are orders in a rate law? Explain. ### 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 2RQ
Textbook Problem
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## Distinguish between the differential rate law and the integrated rate law. Which of these is often called just the “rate law”? What is k in a rate law, and what are orders in a rate law? Explain.

Interpretation Introduction

Interpretation: A distinction between the differential rate law and the integratedrate law is to be stated. The quantity often regarded as “rate law” is to be stated. An explanation regarding the orders present in a rate law and the significance of ‘k’ in the rate law is to be stated.

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: A distinction between the differential rate law and the integrated rate law and the quantity regarded as just “rate law”; An explanation regarding the orders present in a rate law and the significance of ‘k’ in the rate law.

### Explanation of Solution

a)

To determine: A distinction between the differential rate law and the integrated rate law and the quantity regarded as just “rate law”; the significance of  in the rate law.

The dependence of the reaction rate on the concentration of the reactants is represented by a differential rate law, whereas the dependence on time is represented by an integrated rate law.

The differential rate law provides the rate of a reaction at specific reaction concentrations.

The concentration dependence of the rate of a specified reaction is known as the “differential rate equation”. It is regarded just as the “rate law”.

For a reaction,

XProducts

Rate=k[X]n

Where,

• [X] is the molar concentrations of the reactant ‘X’.
• k ’ is the rate constant

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