Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 15 - The Laws of Thermodynamics - General Problems - Page 441: 63

Answer

43 cents per hour.

Work Step by Step

$$COP_{ideal}=\frac{T_L}{T_H-T_L}=\frac{273K+22K}{13K}=22.69$$ The air-conditioning unit is 18 percent as efficient as that. The heat removed is the latent heat of fusion for 5 tons of water. $$\frac{W}{t}=\frac{Q_L/t}{COP}=\frac{5(909kg/day)(3.33\times10^5J/kg)}{0.18 COP_{ideal}}=3.705\times 10^8J/d$$ Find the hourly cost for the air conditioning. $$(3.705\times 10^8J/d) (\frac{1d}{24h})(\frac{kWh}{3.6\times10^6 J})(\$0.10/kWh)=\$0.43/h$$
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