   # What are the units for each of the following if the concentrations are expressed in moles per liter and the time in seconds? a. rate of a chemical reaction b. rate constant for a zero-order rate law c. rate constant for a first-order rate law d. rate constant for a second-order rate law e. rate constant for a third-order rate law ### 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 27E
Textbook Problem
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## What are the units for each of the following if the concentrations are expressed in moles per liter and the time in seconds?a. rate of a chemical reactionb. rate constant for a zero-order rate lawc. rate constant for a first-order rate lawd. rate constant for a second-order rate lawe. rate constant for a third-order rate law

(a)

Interpretation Introduction

Interpretation: The units for each of the given terms are to be calculated taking concentration in terms of moles per liter (mol/L) and time in seconds (s) .

Concept introduction: The rate of a reaction is directly proportional to the concentration of the reactant. For a reaction, XProducts ,

Rate[X]nRate=k[X]n

The constant k in the above expression is the rate constant.

### Explanation of Solution

Given

Concentration is expressed in moles per liter (mol/L) and time in seconds (s) .

The rate of a reaction is calculated by the formula,

Rateofreaction=ChangeintheconcentrationChang

(b)

Interpretation Introduction

Interpretation: The units for each of the given terms are to be calculated taking concentration in terms of moles per liter (mol/L) and time in seconds (s) .

Concept introduction: The rate of a reaction is directly proportional to the concentration of the reactant. For a reaction, XProducts ,

Rate[X]nRate=k[X]n

The constant k in the above expression is the rate constant.

(c)

Interpretation Introduction

Interpretation: The units for each of the given terms are to be calculated taking concentration in terms of moles per liter (mol/L) and time in seconds (s) .

Concept introduction: The rate of a reaction is directly proportional to the concentration of the reactant. For a reaction, XProducts ,

Rate[X]nRate=k[X]n

The constant k in the above expression is the rate constant.

To determine: The unit of the rate constant for a first order reaction.

(d)

Interpretation Introduction

Interpretation: The units for each of the given terms are to be calculated taking concentration in terms of moles per liter (mol/L) and time in seconds (s) .

Concept introduction: The rate of a reaction is directly proportional to the concentration of the reactant. For a reaction, XProducts ,

Rate[X]nRate=k[X]n

The constant k in the above expression is the rate constant.

(e)

Interpretation Introduction

Interpretation: The units for each of the given terms are to be calculated taking concentration in terms of moles per liter (mol/L) and time in seconds (s) .

Concept introduction: The rate of a reaction is directly proportional to the concentration of the reactant. For a reaction, XProducts ,

Rate[X]nRate=k[X]n

The constant k in the above expression is the rate constant.

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