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The free expansion of an ideal gas is an adiabatic process

University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman ISBN: 9780321675460 31

Solution for problem 18DQ Chapter 20

University Physics | 13th Edition

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University Physics | 13th Edition | ISBN: 9780321675460 | Authors: Hugh D. Young, Roger A. Freedman

University Physics | 13th Edition

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Problem 18DQ

The free expansion of an ideal gas is an adiabatic process and so no heat is transferred. No work is done, so the internal energy does not change. Thus, Q/T = 0, yet the randomness of the system and thus its entropy have increased after the expansion. Why does Eq. (20.19) not apply to this situation?

Step-by-Step Solution:

Solution 18DQ Step 1: An adiabatic process in which there is no heat transfer takes place An adiabatic process for an ideal gas , as the gas expands from volume V to V a a b positive work is done This results in decreasing the internal energy and its temperature drops. If point “a” represents initial state where there the temperature is T + dT and b be the final state where the temperature is lower say T From this understanding of behaviour of ideal gas there is change in temperature , this results in causing the entropy As the temperature drops there is change in heat of the system dQ S = T > 0 This causes entropy for an ideal gas

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Chapter 20, Problem 18DQ is Solved
Textbook: University Physics
Edition: 13
Author: Hugh D. Young, Roger A. Freedman
ISBN: 9780321675460

The answer to “The free expansion of an ideal gas is an adiabatic process and so no heat is transferred. No work is done, so the internal energy does not change. Thus, Q/T = 0, yet the randomness of the system and thus its entropy have increased after the expansion. Why does Eq. (20.19) not apply to this situation?” is broken down into a number of easy to follow steps, and 56 words. University Physics was written by and is associated to the ISBN: 9780321675460. The full step-by-step solution to problem: 18DQ from chapter: 20 was answered by , our top Physics solution expert on 05/06/17, 06:07PM. Since the solution to 18DQ from 20 chapter was answered, more than 301 students have viewed the full step-by-step answer. This textbook survival guide was created for the textbook: University Physics, edition: 13. This full solution covers the following key subjects: Expansion, thus, increased, done, Energy. This expansive textbook survival guide covers 26 chapters, and 2929 solutions.

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The free expansion of an ideal gas is an adiabatic process