Suppose you are given a gas that expands adiabatically so that it follows a path in the p-V diagram satisfying PV = constant, for some real number y> 1. Given that the initial pressure and volume are po and Vo respectively, express the change in internal energy of the gas upon displacing the surrounding air in terms of po, Vo and y when it expands to twice its initial volume. Did the internal energy increase or decrease?

University Physics Volume 2
18th Edition
ISBN:9781938168161
Author:OpenStax
Publisher:OpenStax
Chapter3: The First Law Of Thermodynamics
Section: Chapter Questions
Problem 75P: A dilute gas expands quasi-statically to three times its initial volume. Is the final gas pressure...
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Suppose you are given a gas that expands adiabatically so that it follows a path in the p-V diagram satisfying
pVY:
= constant,
for some real number y > 1. Given that the initial pressure and volume are po and Vo respectively, express
the change in internal energy of the gas upon displacing the surrounding air in terms of po,Vo and y when
it expands to twice its initial volume. Did the internal energy increase or decrease?
Transcribed Image Text:Suppose you are given a gas that expands adiabatically so that it follows a path in the p-V diagram satisfying pVY: = constant, for some real number y > 1. Given that the initial pressure and volume are po and Vo respectively, express the change in internal energy of the gas upon displacing the surrounding air in terms of po,Vo and y when it expands to twice its initial volume. Did the internal energy increase or decrease?
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