5. The rms speed, Vrms of 1.0 mol of N2 molecules in a box is 1200 ms. The molecular mass, M for N2 is 28.0 g/mol while its molar heat capacity at constant volume, C, is 20.76 J/mol.K. Assume N2 molecules follow the ideal gas law and there is no heat loss to the surrounding. The universal gas constant, R is 8.314 J/(K.mol). (a) What is the temperature inside the box? (b) What is the average translational kinetic energy of the molecules? Determine the amount of He gas that undergo the same change in temperature as 1.0 mol of N2 when the same amount of heat is added to each gas in constant volume (c) process. The C, for He is 12.47 J/mol.K.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
icon
Concept explainers
Question
5. The rms speed, vrms of 1.0 mol of N2 molecules in a box is 1200 ms. The molecular
mass, M for N2 is 28.0 g/mol while its molar heat capacity at constant volume, C, is
20.76 J/mol.K. Assume N2 molecules follow the ideal gas law and there is no heat loss to
the surrounding. The universal gas constant, R is 8.314 J/(K.mol).
(а)
What is the temperature inside the box?
(b)
What is the average translational kinetic energy of the molecules?
Determine the amount of He gas that undergo the same change in temperature as
1.0 mol of N2 when the same amount of heat is added to each gas in constant
volume process. The Cy for He is 12.47 J/mol.K.
(c)
(d)
If the process in (c) is carried-out at constant pressure, it will require more He gas
than in (c). Is this statement correct? Briefly explain your answer.
Transcribed Image Text:5. The rms speed, vrms of 1.0 mol of N2 molecules in a box is 1200 ms. The molecular mass, M for N2 is 28.0 g/mol while its molar heat capacity at constant volume, C, is 20.76 J/mol.K. Assume N2 molecules follow the ideal gas law and there is no heat loss to the surrounding. The universal gas constant, R is 8.314 J/(K.mol). (а) What is the temperature inside the box? (b) What is the average translational kinetic energy of the molecules? Determine the amount of He gas that undergo the same change in temperature as 1.0 mol of N2 when the same amount of heat is added to each gas in constant volume process. The Cy for He is 12.47 J/mol.K. (c) (d) If the process in (c) is carried-out at constant pressure, it will require more He gas than in (c). Is this statement correct? Briefly explain your answer.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

Blurred answer
Knowledge Booster
Kinetic theory of gas
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
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON