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Show that during the quasistatic isothermal expansion of a

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

Solution for problem 34P Chapter 2

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

Show that during the quasistatic isothermal expansion of a monatomic ideal gas, the change in entropy is related to the heat input Q by the simple formula

In the following chapter I’ll prove that this formula is valid for any quasistatic process. Show, however, that it is not valid for the free expansion process described above.

Step-by-Step Solution:

Step 1 of 5</p>

For a quasistatic isothermal process,differential work done is equal to the product of pressure and change in volume and is given by,

                                                

Since it is isothermal process, temperature remains constant.

For such a process, the heat absorbed or emitted is given by,

                                        

Where  is change in internal energy.

Using

                                        ………...1

Step 2 of 5</p>The Sackur Tetrode equation gives the entropy of a monatomic gas molecule as,

                

                        ……….2

Where S is entory, N is avogadro number, k and h are constants, m is mass of argon atom, V is volume and U is internal energy.

Step 3 of 5</p>

The change in entropy will be due to combined effects of  change in volume and internal energy.

That is,

                                        

Using equation 2,

                

On differentiating,

Step 4 of 5

Chapter 2, Problem 34P is Solved
Step 5 of 5

Textbook: An Introduction to Thermal Physics
Edition: 1
Author: Daniel V. Schroeder
ISBN: 9780201380279

An Introduction to Thermal Physics was written by and is associated to the ISBN: 9780201380279. The full step-by-step solution to problem: 34P from chapter: 2 was answered by , our top Physics solution expert on 07/05/17, 04:29AM. This full solution covers the following key subjects: valid, show, quasistatic, process, formula. This expansive textbook survival guide covers 10 chapters, and 454 solutions. Since the solution to 34P from 2 chapter was answered, more than 529 students have viewed the full step-by-step answer. The answer to “Show that during the quasistatic isothermal expansion of a monatomic ideal gas, the change in entropy is related to the heat input Q by the simple formula In the following chapter I’ll prove that this formula is valid for any quasistatic process. Show, however, that it is not valid for the free expansion process described above.” is broken down into a number of easy to follow steps, and 56 words. This textbook survival guide was created for the textbook: An Introduction to Thermal Physics , edition: 1.

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