Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (3rd Edition)

Published by Pearson
ISBN 10: 0321740904
ISBN 13: 978-0-32174-090-8

Chapter 19 - Heat Engines and Refrigerators - Exercises and Problems - Page 553: 64

Answer

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Work Step by Step

a) The heat transferred into the gas during the processes of: from 4 to 3 and from 3 to 2. You can follow the temperature increase or decrease to answer this question fast. b) $Q_H$ is the heat transferred into the gas during the processes (4 to 3) and (3 to 2). And $Q_C$ is the heat transferred out of the gas during the processes (2 to 1) and (1 to 4). c) $$Q_H=Q_{4\rightarrow3}+Q_{3\rightarrow 2}=(7.09\times 10^5)+(15.19\times 10^5)$$ $$Q_H=\color{red}{\bf 22.28\times 10^5}\;\rm J$$ $$Q_C=Q_{2\rightarrow1}+Q_{1\rightarrow 4}=(21.27\times 10^5)+(5.06\times 10^5)$$ $$Q_C=\color{red}{\bf 26.33\times 10^5}\;\rm J$$ d) We are moving counterclockwise, so the work done is in not out. $$W_{in}=\text{Closed area}=\Delta P\Delta V$$ $$W_{in}= (3-1)\times 1.013\times 10^5\times (3-1)$$ $$W_{in}=\color{red}{\bf 4.052\times 10^5}\;\rm J$$ e) No, it is not a refrigerator cycle since this cycle uses the work input to transfer heat energy from the hot reservoir to the cold reservoir which is the reverse of a refrigerators.
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