Thermodynamics: An Engineering Approach 8th Edition

Published by McGraw-Hill Education
ISBN 10: 0-07339-817-9
ISBN 13: 978-0-07339-817-4

Chapter 4 - Energy Analysis of Closed Systems - Problems - Page 196: 4-1C

Answer

Isobaric process.

Work Step by Step

For the isobaric expansion: $W = \int PdV$ $W = P_0(V_f-V_0)$ For the isothermal expansion: From Boyle's Law: $PV = k = P_0V_0$ $W = \int \frac{k}{V}dV$ $W = P_0V_0\ \ln(\frac{V_f}{V_0})$ The equations display what can be observed in the P-V diagram: the work done in an isothermal process is the area under an isothermal curve and the work done in an isobaric process is the area of the rectangle surrounding the isothermal curve entirely, therefore, the work done in an isobaric process will always be greater in magnitude than in an isothermal process.
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