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Calculate the total thermal energy in a liter of helium at

An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder ISBN: 9780201380279 40

Solution for problem 23P Chapter 1

An Introduction to Thermal Physics | 1st Edition

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An Introduction to Thermal Physics | 1st Edition | ISBN: 9780201380279 | Authors: Daniel V. Schroeder

An Introduction to Thermal Physics | 1st Edition

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Problem 23P

Calculate the total thermal energy in a liter of helium at room temperature and atmospheric pressure. Then repeat the calculation for a liter of air.

Step-by-Step Solution:

Solution to 23P

Step 1</p>

In this question, we are asked to find the thermal energy of a litre of Helium(He) and air at room temperature and atmospheric pressure.

To find the thermal energy we will use the Equipartition theorem which states that,

At temperature T, the average energy of any quadratic degree of freedom is given by

For a system with N particles and with degree of freedom f, with no other forms of energy (Non-quadratic) dependent on temperature then the thermal energy is given by,

k=Boltzmann constant

T= Temperature

N=Number of molecules

f=Degrees of freedom

Step 2</p>

We need to find the thermal energy of the litre of Helium at room temperature:

Number of molecules of Helium:N

We know from ideal gas equation that,

Thus the equipartition theorem equation becomes,

Pressure=1 atm=

Degrees of freedom for monatomic gas=3

Volume of gas=1 litre=

Thus thermal energy of the litre of Helium is 1.5x102J

Step 3 of 3

Chapter 1, Problem 23P is Solved
Textbook: An Introduction to Thermal Physics
Edition: 1
Author: Daniel V. Schroeder
ISBN: 9780201380279

This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1. The answer to “Calculate the total thermal energy in a liter of helium at room temperature and atmospheric pressure. Then repeat the calculation for a liter of air.” is broken down into a number of easy to follow steps, and 25 words. The full step-by-step solution to problem: 23P from chapter: 1 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. This full solution covers the following key subjects: liter, air, calculate, calculation, Energy. This expansive textbook survival guide covers 10 chapters, and 454 solutions. An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279. Since the solution to 23P from 1 chapter was answered, more than 392 students have viewed the full step-by-step answer.

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