Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 18 - Temperature, Heat, and the First Law of Thermodynamics - Questions - Page 540: 8a

Answer

W is greater in Cycle 2.

Work Step by Step

We can write an expression for the work done by a gas: $W = \int_{V_i}^{V_f}~p~dV$ Note that if the volume does not change, then the work done by the gas is zero. Thus the work done by a gas along each vertical section is zero. For the net work to be positive, we should move around the diagram so that the section at higher pressure moves from a lower volume to a higher volume. If the cycle is traversed clockwise, then the net work $W$ done by the gas is equal to the area enclosed by the cycle. Since the area enclosed by the cycle in Cycle 2 is greater, then W is greater in Cycle 2.
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