Physics for Scientists and Engineers with Modern Physics
Physics for Scientists and Engineers with Modern Physics
10th Edition
ISBN: 9781337553292
Author: Raymond A. Serway, John W. Jewett
Publisher: Cengage Learning
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Chapter 20, Problem 34AP

In a cylinder, a sample of an ideal gas with number of moles n undergoes an adiabatic process. (a) Starting with the expression W = P d V and using the condition PVγ = constant, show that the work done on the gas is

W = ( 1 γ 1 ) ( P f V f P i V i )

(b) Starting with the first law of thermodynamics, show that the work done on the gas is equal to nCV(TfTi). (c) Are these two results consistent with each other? Explain.

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Thermodynamics: Crash Course Physics #23; Author: Crash Course;https://www.youtube.com/watch?v=4i1MUWJoI0U;License: Standard YouTube License, CC-BY