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An ideal diatomic gas, in a cylinder with a movable

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

Solution for problem 34P 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 34P

An ideal diatomic gas, in a cylinder with a movable piston, undergoes the rectangular cyclic process shown in Figure. Assume that the temperature is always such that rotational degrees of freedom are active, but vibrational modes are “frozen out.” Also assume that the only type of work done on the gas is quasistatic compression-expansion work.

(a) For each of the four steps A through D, compute the work done on the gas, the heat added to the gas, and the change in the energy content of the gas. Express all answers in terms of P1, P2, V1 and V2. (Hint: Compute ΔU before Q, using the ideal gas law and the equipartition theorem.)

(b) Describe in words what is physically being done during each of the four steps, for example, during step A, heat is added to the gas (from an external flame or something) while the piston is held fixed.

(c) Compute the net work done on the gas, the net heat added to the gas, and the net change in the energy of the gas during the entire cycle. Are the results as you expected? Explain briefly.

Figure: PV diagrams

Step-by-Step Solution:

Problem 34P

Solution 34 P

Step 1 :

In this question, we need to find work done on the gas (W), heat added (Q) and change in the energy content of the gas

We need to express these terms of

In the second part, we need to explain in words the physical steps when the piston is held fixed

In the third part,

We need to find the net work done on the gas,net heat added on the gas, net change in energy during entire cycle

Considering the PV diagram given

Step 2 of 2

Chapter 1, Problem 34P is Solved
Textbook: An Introduction to Thermal Physics
Edition: 1
Author: Daniel V. Schroeder
ISBN: 9780201380279

The answer to “An ideal diatomic gas, in a cylinder with a movable piston, undergoes the rectangular cyclic process shown in Figure. Assume that the temperature is always such that rotational degrees of freedom are active, but vibrational modes are “frozen out.” Also assume that the only type of work done on the gas is quasistatic compression-expansion work.(a) For each of the four steps A through D, compute the work done on the gas, the heat added to the gas, and the change in the energy content of the gas. Express all answers in terms of P1, P2, V1 and V2. (Hint: Compute ?U before Q, using the ideal gas law and the equipartition theorem.)________________(b) Describe in words what is physically being done during each of the four steps, for example, during step A, heat is added to the gas (from an external flame or something) while the piston is held fixed.________________(c) Compute the net work done on the gas, the net heat added to the gas, and the net change in the energy of the gas during the entire cycle. Are the results as you expected? Explain briefly.Figure: PV diagrams” is broken down into a number of easy to follow steps, and 188 words. The full step-by-step solution to problem: 34P from chapter: 1 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1. This full solution covers the following key subjects: gas, work, done, heat, Net. This expansive textbook survival guide covers 10 chapters, and 454 solutions. Since the solution to 34P from 1 chapter was answered, more than 258 students have viewed the full step-by-step answer. An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279.

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