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 552: 51

Answer

a) $5000\;\rm J$ b) $1.67$

Work Step by Step

a) We know that the power is given by $P=W/t$ where $W$ is the work or the energy and $t$ is the time. And we know, from the first thermodynamics law, that $$W_{out}=Q_H-Q_C$$ Dividing both sides by $t$; $$\dfrac{W_{out}}{t}=\dfrac{Q_H}{t}-\dfrac{Q_C}{t}$$ Thus, $$P_{out}=P_{in}-P_{loss}$$ Plugging the known and converting minutes to seconds, $$P_{out}=\dfrac{(8\times 10^5)}{60}-\dfrac{(5\times 10^5)}{60} $$ $$P_{out}=\color{red}{\bf 5000}\;\rm W$$ --- b) The coefficient of performance of the air conditioner is the same as that of the fridge which is given by $$K=\dfrac{Q_C}{W_{in}}=\dfrac{P_{loss}\color{red}{\bf\not} t}{P_{out}\color{red}{\bf\not} t}$$ $$K=\dfrac{\left(\dfrac{5\times 10^5}{60}\right)}{5\times 10^3}$$ $$K=\color{red}{\bf 1.67}$$
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.