Physics
Physics
3rd Edition
ISBN: 9781259233616
Author: GIAMBATTISTA
Publisher: MCG
bartleby

Concept explainers

Question
Book Icon
Chapter 13, Problem 38P

(a)

To determine

The number density of the gas.

(a)

Expert Solution
Check Mark

Answer to Problem 38P

The number density of the gas is 2.69×1025m-3.

Explanation of Solution

Write the expression to find the number density of the gas.

ρN=NV

Here, N is the number of molecules, V is the volume, ρN is the number density.

Substitute nNA for N in the above expression.

ρN=nNAV

Here, NA is Avogadro number, n is the number of moles.

Conclusion:

Substitute 1.00mol for n, 0.0224m3 for V and 6.023×1026(kmol)1 for NA to find the number density.

ρN=(1.00mol)6.023×1023(mol)10.0224m3=2.69×1025m-3

(b)

To determine

The average distance between the molecules.

(b)

Expert Solution
Check Mark

Answer to Problem 38P

The average distance between the molecules is 4×109m.

Explanation of Solution

Consider every molecule situates at the center of sphere.

Write the expression to find the number radius of the sphere.

VN=1NV=1ρN

Substitute 2.69×1025m-3 for ρN to find the radius of the sphere.

VN=12.69×1025m-3=3.72×1026m3

Equate the expression with a volume of a sphere to find the radius of the sphere.

VN=43πr34r3

Re-arrange the above expression to find the radius of the sphere.

r=(V4N)13 (I)

The distance between the molecules can be defined as the diameter of the sphere.

Write the expression to find the average distance between the molecules using equation (I).

d=2r=2((V4N)13)

Conclusion:

Substitute 3.72×1026m3 for VN to find the average distance between the molecules.

d=2(3.72×1026m34)134×109m

(c)

To determine

The total mass and mass density of the gas if the gas is N2.

(c)

Expert Solution
Check Mark

Answer to Problem 38P

The total mass and mass density of the gas if the gas is N2 are 28.0g and 1.25kg/m3.

Explanation of Solution

Write the expression to find the mass of N2.

M=nm

Here, m is the molar mass of N2.

Write the expression to find the mass density of N2.

ρ=MV

Conclusion:

Substitute 1.00mol for n and 2(14.00674g/mol) for m to find M.

M=(1.00mol)(2(14.00674g/mol))=28.0g

Substitute 28.0g for M and 0.0224m3 for V to find the mass density of N2.

ρ=28.0g(1.0kg103g)0.0224m3=1.25kg/m3

Want to see more full solutions like this?

Subscribe now to access step-by-step solutions to millions of textbook problems written by subject matter experts!
Students have asked these similar questions
No chatgpt pls will upvote
No chatgpt pls will upvote
No chatgpt pls will upvote

Chapter 13 Solutions

Physics

Ch. 13.6 - Prob. 13.7PPCh. 13.7 - Prob. 13.8PPCh. 13.8 - Prob. 13.9PPCh. 13 - Prob. 1CQCh. 13 - Prob. 2CQCh. 13 - Prob. 3CQCh. 13 - Prob. 4CQCh. 13 - Prob. 5CQCh. 13 - Prob. 6CQCh. 13 - Prob. 7CQCh. 13 - Prob. 8CQCh. 13 - Prob. 9CQCh. 13 - Prob. 10CQCh. 13 - Prob. 11CQCh. 13 - Prob. 12CQCh. 13 - Prob. 13CQCh. 13 - Prob. 14CQCh. 13 - Prob. 15CQCh. 13 - Prob. 16CQCh. 13 - Prob. 17CQCh. 13 - Prob. 18CQCh. 13 - Prob. 19CQCh. 13 - Prob. 20CQCh. 13 - Prob. 1MCQCh. 13 - Prob. 2MCQCh. 13 - Prob. 3MCQCh. 13 - Prob. 4MCQCh. 13 - Prob. 5MCQCh. 13 - Prob. 6MCQCh. 13 - Prob. 7MCQCh. 13 - Prob. 8MCQCh. 13 - Prob. 9MCQCh. 13 - Prob. 10MCQCh. 13 - Prob. 1PCh. 13 - Prob. 2PCh. 13 - Prob. 3PCh. 13 - Prob. 4PCh. 13 - Prob. 5PCh. 13 - Prob. 6PCh. 13 - Prob. 7PCh. 13 - Prob. 8PCh. 13 - Prob. 9PCh. 13 - Prob. 10PCh. 13 - Prob. 11PCh. 13 - Prob. 12PCh. 13 - Prob. 13PCh. 13 - Prob. 14PCh. 13 - Prob. 15PCh. 13 - Prob. 16PCh. 13 - Prob. 17PCh. 13 - Prob. 18PCh. 13 - Prob. 19PCh. 13 - Prob. 20PCh. 13 - Prob. 21PCh. 13 - 22. A copper washer is to be fit in place over a...Ch. 13 - 23. Repeat Problem 22, but now the copper washer...Ch. 13 - Prob. 24PCh. 13 - Prob. 25PCh. 13 - Prob. 26PCh. 13 - Prob. 27PCh. 13 - Prob. 28PCh. 13 - Prob. 29PCh. 13 - Prob. 30PCh. 13 - Prob. 31PCh. 13 - Prob. 32PCh. 13 - Prob. 33PCh. 13 - Prob. 34PCh. 13 - Prob. 35PCh. 13 - Prob. 36PCh. 13 - Prob. 37PCh. 13 - Prob. 38PCh. 13 - Prob. 39PCh. 13 - Prob. 40PCh. 13 - Prob. 41PCh. 13 - Prob. 42PCh. 13 - Prob. 43PCh. 13 - Prob. 44PCh. 13 - Prob. 45PCh. 13 - Prob. 46PCh. 13 - Prob. 47PCh. 13 - Prob. 48PCh. 13 - Prob. 49PCh. 13 - Prob. 50PCh. 13 - Prob. 51PCh. 13 - Prob. 52PCh. 13 - Prob. 53PCh. 13 - Prob. 54PCh. 13 - Prob. 55PCh. 13 - Prob. 56PCh. 13 - Prob. 57PCh. 13 - Prob. 58PCh. 13 - Prob. 59PCh. 13 - Prob. 60PCh. 13 - Prob. 61PCh. 13 - Prob. 62PCh. 13 - Prob. 63PCh. 13 - Prob. 64PCh. 13 - Prob. 65PCh. 13 - Prob. 66PCh. 13 - Prob. 67PCh. 13 - Prob. 68PCh. 13 - Prob. 69PCh. 13 - Prob. 70PCh. 13 - Prob. 71PCh. 13 - Prob. 72PCh. 13 - Prob. 73PCh. 13 - Prob. 74PCh. 13 - Prob. 75PCh. 13 - Prob. 76PCh. 13 - Prob. 77PCh. 13 - Prob. 78PCh. 13 - Prob. 79PCh. 13 - Prob. 80PCh. 13 - Prob. 81PCh. 13 - Prob. 82PCh. 13 - Prob. 83PCh. 13 - Prob. 84PCh. 13 - Prob. 85PCh. 13 - Prob. 86PCh. 13 - Prob. 87PCh. 13 - Prob. 88PCh. 13 - Prob. 89PCh. 13 - Prob. 90PCh. 13 - Prob. 91PCh. 13 - Prob. 92PCh. 13 - Prob. 93PCh. 13 - Prob. 94PCh. 13 - Prob. 95PCh. 13 - Prob. 96PCh. 13 - Prob. 97PCh. 13 - Prob. 98PCh. 13 - Prob. 99PCh. 13 - Prob. 100PCh. 13 - Prob. 101PCh. 13 - Prob. 102PCh. 13 - Prob. 103PCh. 13 - Prob. 104PCh. 13 - Prob. 105PCh. 13 - Prob. 106PCh. 13 - Prob. 107PCh. 13 - Prob. 108PCh. 13 - Prob. 109PCh. 13 - Prob. 110PCh. 13 - Prob. 111PCh. 13 - Prob. 112PCh. 13 - 113. A long, narrow steel rod of length 2.5000 m...Ch. 13 - Prob. 114PCh. 13 - Prob. 115PCh. 13 - Prob. 116PCh. 13 - Prob. 117PCh. 13 - Prob. 118PCh. 13 - Prob. 119PCh. 13 - Prob. 120P
Knowledge Booster
Background pattern image
Physics
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Similar questions
SEE MORE QUESTIONS
Recommended textbooks for you
Text book image
College Physics
Physics
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Cengage Learning
Text book image
University Physics (14th Edition)
Physics
ISBN:9780133969290
Author:Hugh D. Young, Roger A. Freedman
Publisher:PEARSON
Text book image
Introduction To Quantum Mechanics
Physics
ISBN:9781107189638
Author:Griffiths, David J., Schroeter, Darrell F.
Publisher:Cambridge University Press
Text book image
Physics for Scientists and Engineers
Physics
ISBN:9781337553278
Author:Raymond A. Serway, John W. Jewett
Publisher:Cengage Learning
Text book image
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:9780321820464
Author:Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:Addison-Wesley
Text book image
College Physics: A Strategic Approach (4th Editio...
Physics
ISBN:9780134609034
Author:Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:PEARSON