Chemical Principles: The Quest for Insight
Chemical Principles: The Quest for Insight
7th Edition
ISBN: 9781464183959
Author: Peter Atkins, Loretta Jones, Leroy Laverman
Publisher: W. H. Freeman
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Chapter 3, Problem 3D.9E

(a)

Interpretation Introduction

Interpretation:

The value of vrms  speed of CH4 at 20 °C has to be determined.

Concept Introduction:

Root mean square speed is square root of average value of square of molecular speeds of gas molecules. It includes molecular weight and temperature, both of which affect kinetic energy of gas. It is denoted by vrms. The expression for vrms is as follows:

  vrms=3RTM        (1)

Here,

R is gas constant.

T is absolute temperature of gas.

M is molecular weight of gas.

(a)

Expert Solution
Check Mark

Answer to Problem 3D.9E

Value of vrms of CH4 is 627 ms1.

Explanation of Solution

Conversion factor to convert 20 °C to Kelvin is as follows:

  T(K)=temperatureincelsius+273.15=20 °C+273.15=253.15K

Substitute 253.15K for T, 16.04 g/mol for M, and 8.3145 JK1mol1 for R in equation (1) to calculate vrms for CH4.

  vrms=(3(8.3145 JK1mol1)(253.15K)(16.04 g/mol))(103 g1 kg)=627 ms1

Hence vrms speed of CH4 is 627 ms1.

(b)

Interpretation Introduction

Interpretation:

The value of vrms  speed of C2H6 at 20 °C has to be determined.

Concept Introduction:

Refer to part (a).

(b)

Expert Solution
Check Mark

Answer to Problem 3D.9E

Value of vrms for C2H6 is 458 ms1.

Explanation of Solution

Conversion factor to convert 20 °C to Kelvin is as follows:

  T(K)=temperatureincelsius+273.15=20 °C+273.15=253.15K

Substitute 253.15K for T, 30.07 g/mol for M, and 8.3145 JK1mol1 for R in equation (1) to calculate vrms for C2H6.

  vrms=(3(8.3145 JK1mol1)(253.15K)(30.07 g/mol))(103 g1 kg)=458 ms1

Hence vrms speed of C2H6 is 458 ms1.

(c)

Interpretation Introduction

Interpretation:

The value of vrms  speed of C3H8 at 20 °C has to be determined.

Concept Introduction:

Refer to part (a).

(c)

Expert Solution
Check Mark

Answer to Problem 3D.9E

Value of vrms for C3H8 is 378 ms1.

Explanation of Solution

Conversion factor to convert 20 °C to Kelvin is as follows:

  T(K)=temperatureincelsius+273.15=20 °C+273.15=253.15K

Substitute 253.15K for T, 44.1 g/mol for M, and 8.3145 JK1mol1 for R in equation (1) to calculate vrms for C3H8.

  vrms=(3(8.3145 JK1mol1)(253.15K)(44.1 g/mol))(103 g1 kg)=378 ms1

Hence vrms speed of C3H8 is 378 ms1.

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Chapter 3 Solutions

Chemical Principles: The Quest for Insight

Ch. 3 - Prob. 3A.5ECh. 3 - Prob. 3A.6ECh. 3 - Prob. 3A.7ECh. 3 - Prob. 3A.8ECh. 3 - Prob. 3A.9ECh. 3 - Prob. 3A.10ECh. 3 - Prob. 3B.1ASTCh. 3 - Prob. 3B.1BSTCh. 3 - Prob. 3B.2ASTCh. 3 - Prob. 3B.2BSTCh. 3 - Prob. 3B.3ASTCh. 3 - Prob. 3B.3BSTCh. 3 - Prob. 3B.4ASTCh. 3 - Prob. 3B.4BSTCh. 3 - Prob. 3B.5ASTCh. 3 - Prob. 3B.5BSTCh. 3 - Prob. 3B.6ASTCh. 3 - Prob. 3B.6BSTCh. 3 - Prob. 3B.7ASTCh. 3 - Prob. 3B.7BSTCh. 3 - Prob. 3B.8ASTCh. 3 - Prob. 3B.8BSTCh. 3 - Prob. 3B.1ECh. 3 - Prob. 3B.2ECh. 3 - Prob. 3B.5ECh. 3 - Prob. 3B.6ECh. 3 - Prob. 3B.9ECh. 3 - Prob. 3B.10ECh. 3 - Prob. 3B.11ECh. 3 - Prob. 3B.12ECh. 3 - Prob. 3B.13ECh. 3 - Prob. 3B.14ECh. 3 - Prob. 3B.15ECh. 3 - Prob. 3B.16ECh. 3 - Prob. 3B.17ECh. 3 - Prob. 3B.18ECh. 3 - Prob. 3B.19ECh. 3 - Prob. 3B.20ECh. 3 - Prob. 3B.21ECh. 3 - Prob. 3B.22ECh. 3 - Prob. 3B.23ECh. 3 - Prob. 3B.24ECh. 3 - Prob. 3B.25ECh. 3 - Prob. 3B.26ECh. 3 - Prob. 3B.27ECh. 3 - Prob. 3B.28ECh. 3 - Prob. 3B.29ECh. 3 - Prob. 3B.30ECh. 3 - Prob. 3B.31ECh. 3 - Prob. 3B.32ECh. 3 - Prob. 3B.33ECh. 3 - Prob. 3B.34ECh. 3 - Prob. 3B.35ECh. 3 - Prob. 3B.36ECh. 3 - Prob. 3B.37ECh. 3 - Prob. 3B.38ECh. 3 - Prob. 3B.39ECh. 3 - Prob. 3B.40ECh. 3 - Prob. 3B.41ECh. 3 - Prob. 3B.42ECh. 3 - Prob. 3C.1ASTCh. 3 - Prob. 3C.1BSTCh. 3 - Prob. 3C.2ASTCh. 3 - Prob. 3C.2BSTCh. 3 - Prob. 3C.3ASTCh. 3 - Prob. 3C.3BSTCh. 3 - Prob. 3C.1ECh. 3 - Prob. 3C.2ECh. 3 - Prob. 3C.3ECh. 3 - Prob. 3C.4ECh. 3 - Prob. 3C.5ECh. 3 - Prob. 3C.6ECh. 3 - Prob. 3C.7ECh. 3 - Prob. 3C.8ECh. 3 - Prob. 3C.9ECh. 3 - Prob. 3C.10ECh. 3 - Prob. 3C.11ECh. 3 - Prob. 3C.12ECh. 3 - Prob. 3C.13ECh. 3 - Prob. 3C.14ECh. 3 - Prob. 3C.15ECh. 3 - Prob. 3C.16ECh. 3 - Prob. 3D.1ASTCh. 3 - Prob. 3D.1BSTCh. 3 - Prob. 3D.2ASTCh. 3 - Prob. 3D.2BSTCh. 3 - Prob. 3D.1ECh. 3 - Prob. 3D.2ECh. 3 - Prob. 3D.3ECh. 3 - Prob. 3D.4ECh. 3 - Prob. 3D.5ECh. 3 - Prob. 3D.6ECh. 3 - Prob. 3D.7ECh. 3 - Prob. 3D.8ECh. 3 - Prob. 3D.9ECh. 3 - Prob. 3D.10ECh. 3 - Prob. 3D.11ECh. 3 - Prob. 3D.12ECh. 3 - Prob. 3D.13ECh. 3 - Prob. 3D.14ECh. 3 - Prob. 3D.15ECh. 3 - Prob. 3D.16ECh. 3 - Prob. 3D.17ECh. 3 - Prob. 3D.18ECh. 3 - Prob. 3E.1ASTCh. 3 - Prob. 3E.1BSTCh. 3 - Prob. 3E.1ECh. 3 - Prob. 3E.2ECh. 3 - Prob. 3E.3ECh. 3 - Prob. 3E.4ECh. 3 - Prob. 3E.5ECh. 3 - Prob. 3E.6ECh. 3 - Prob. 3E.7ECh. 3 - Prob. 3E.8ECh. 3 - Prob. 3E.9ECh. 3 - Prob. 3E.10ECh. 3 - Prob. 3E.13ECh. 3 - Prob. 3E.14ECh. 3 - Prob. 3F.1ASTCh. 3 - Prob. 3F.1BSTCh. 3 - Prob. 3F.2ASTCh. 3 - Prob. 3F.2BSTCh. 3 - Prob. 3F.3ASTCh. 3 - Prob. 3F.3BSTCh. 3 - Prob. 3F.1ECh. 3 - Prob. 3F.2ECh. 3 - Prob. 3F.3ECh. 3 - Prob. 3F.4ECh. 3 - Prob. 3F.5ECh. 3 - Prob. 3F.6ECh. 3 - Prob. 3F.7ECh. 3 - Prob. 3F.8ECh. 3 - Prob. 3F.9ECh. 3 - Prob. 3F.10ECh. 3 - Prob. 3F.11ECh. 3 - Prob. 3F.12ECh. 3 - Prob. 3F.13ECh. 3 - Prob. 3F.14ECh. 3 - Prob. 3F.15ECh. 3 - Prob. 3F.16ECh. 3 - Prob. 3F.17ECh. 3 - Prob. 3F.18ECh. 3 - Prob. 3F.19ECh. 3 - Prob. 3F.20ECh. 3 - Prob. 3F.21ECh. 3 - Prob. 3F.22ECh. 3 - Prob. 3G.1ECh. 3 - Prob. 3G.2ECh. 3 - Prob. 3G.3ECh. 3 - Prob. 3G.4ECh. 3 - Prob. 3G.5ECh. 3 - Prob. 3G.6ECh. 3 - Prob. 3G.7ECh. 3 - Prob. 3G.8ECh. 3 - Prob. 3G.9ECh. 3 - Prob. 3G.10ECh. 3 - Prob. 3G.11ECh. 3 - Prob. 3G.12ECh. 3 - Prob. 3G.13ECh. 3 - Prob. 3G.14ECh. 3 - Prob. 3G.15ECh. 3 - Prob. 3G.16ECh. 3 - Prob. 3G.17ECh. 3 - Prob. 3G.18ECh. 3 - Prob. 3H.1ASTCh. 3 - Prob. 3H.1BSTCh. 3 - Prob. 3H.2ASTCh. 3 - Prob. 3H.2BSTCh. 3 - Prob. 3H.3ASTCh. 3 - Prob. 3H.3BSTCh. 3 - Prob. 3H.4ASTCh. 3 - Prob. 3H.4BSTCh. 3 - Prob. 3H.5ASTCh. 3 - Prob. 3H.5BSTCh. 3 - Prob. 3H.1ECh. 3 - Prob. 3H.2ECh. 3 - Prob. 3H.3ECh. 3 - Prob. 3H.4ECh. 3 - Prob. 3H.5ECh. 3 - Prob. 3H.6ECh. 3 - Prob. 3H.7ECh. 3 - Prob. 3H.8ECh. 3 - Prob. 3H.9ECh. 3 - Prob. 3H.10ECh. 3 - Prob. 3H.11ECh. 3 - Prob. 3H.12ECh. 3 - Prob. 3H.13ECh. 3 - Prob. 3H.14ECh. 3 - Prob. 3H.15ECh. 3 - Prob. 3H.16ECh. 3 - Prob. 3H.17ECh. 3 - Prob. 3H.19ECh. 3 - Prob. 3H.20ECh. 3 - Prob. 3H.23ECh. 3 - Prob. 3H.24ECh. 3 - Prob. 3H.25ECh. 3 - Prob. 3H.26ECh. 3 - Prob. 3H.27ECh. 3 - Prob. 3H.28ECh. 3 - Prob. 3H.29ECh. 3 - Prob. 3H.30ECh. 3 - Prob. 3H.31ECh. 3 - Prob. 3H.32ECh. 3 - Prob. 3H.33ECh. 3 - Prob. 3H.34ECh. 3 - Prob. 3H.35ECh. 3 - Prob. 3H.36ECh. 3 - Prob. 3I.1ASTCh. 3 - Prob. 3I.1BSTCh. 3 - Prob. 3I.2ASTCh. 3 - Prob. 3I.2BSTCh. 3 - Prob. 3I.3ASTCh. 3 - Prob. 3I.3BSTCh. 3 - Prob. 3I.4ASTCh. 3 - Prob. 3I.4BSTCh. 3 - Prob. 3I.1ECh. 3 - Prob. 3I.2ECh. 3 - Prob. 3I.3ECh. 3 - Prob. 3I.4ECh. 3 - Prob. 3I.5ECh. 3 - Prob. 3I.6ECh. 3 - Prob. 3I.7ECh. 3 - Prob. 3I.8ECh. 3 - Prob. 3I.11ECh. 3 - Prob. 3I.12ECh. 3 - Prob. 3I.13ECh. 3 - Prob. 3I.14ECh. 3 - Prob. 3I.15ECh. 3 - Prob. 3I.16ECh. 3 - Prob. 3J.1ASTCh. 3 - Prob. 3J.1BSTCh. 3 - Prob. 3J.2ASTCh. 3 - Prob. 3J.2BSTCh. 3 - Prob. 3J.3ASTCh. 3 - Prob. 3J.3BSTCh. 3 - Prob. 3J.1ECh. 3 - Prob. 3J.2ECh. 3 - Prob. 3J.3ECh. 3 - Prob. 3J.4ECh. 3 - Prob. 3J.5ECh. 3 - Prob. 3J.6ECh. 3 - Prob. 3J.7ECh. 3 - Prob. 3J.8ECh. 3 - Prob. 3J.9ECh. 3 - Prob. 3J.10ECh. 3 - Prob. 3J.11ECh. 3 - Prob. 3J.12ECh. 3 - Prob. 3J.13ECh. 3 - Prob. 3J.14ECh. 3 - Prob. 3J.15ECh. 3 - Prob. 3J.16ECh. 3 - Prob. 3.1ECh. 3 - Prob. 3.2ECh. 3 - Prob. 3.3ECh. 3 - Prob. 3.4ECh. 3 - Prob. 3.5ECh. 3 - Prob. 3.6ECh. 3 - Prob. 3.7ECh. 3 - Prob. 3.8ECh. 3 - Prob. 3.9ECh. 3 - Prob. 3.10ECh. 3 - Prob. 3.11ECh. 3 - Prob. 3.12ECh. 3 - Prob. 3.13ECh. 3 - Prob. 3.15ECh. 3 - Prob. 3.18ECh. 3 - Prob. 3.19ECh. 3 - Prob. 3.23ECh. 3 - Prob. 3.24ECh. 3 - Prob. 3.25ECh. 3 - Prob. 3.26ECh. 3 - Prob. 3.27ECh. 3 - Prob. 3.29ECh. 3 - Prob. 3.31ECh. 3 - Prob. 3.32ECh. 3 - Prob. 3.35ECh. 3 - Prob. 3.36ECh. 3 - Prob. 3.37ECh. 3 - Prob. 3.38ECh. 3 - Prob. 3.40ECh. 3 - Prob. 3.41ECh. 3 - Prob. 3.42ECh. 3 - Prob. 3.45ECh. 3 - Prob. 3.47ECh. 3 - Prob. 3.49ECh. 3 - Prob. 3.50ECh. 3 - Prob. 3.51ECh. 3 - Prob. 3.53ECh. 3 - Prob. 3.54ECh. 3 - Prob. 3.55ECh. 3 - Prob. 3.56ECh. 3 - Prob. 3.57ECh. 3 - Prob. 3.58ECh. 3 - Prob. 3.59ECh. 3 - Prob. 3.60ECh. 3 - Prob. 3.61ECh. 3 - Prob. 3.62ECh. 3 - Prob. 3.63ECh. 3 - Prob. 3.64ECh. 3 - Prob. 3.65ECh. 3 - Prob. 3.66ECh. 3 - Prob. 3.67ECh. 3 - Prob. 3.68E
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