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 2 - Energy, Energy Transfer, and General Energy Analysis - Problems - Page 101: 2-62

Answer

$Q_{total}=20.263kW$

Work Step by Step

Since the weight-lifting machines have no motors they do not produces heat. The heat dissipated by the treadmills is: $Q_{motors}=\frac{7*(2.5hp*\frac{745.7W}{1hp})*0.7}{0.77}=11.863kW$ The heat dissipated by the people is: $Q_{people}=(12+2)*600W=8.4kW$ Then the total heat gain of the room is: $Q_{total}=$Q_{motors}+$Q_{people}=11.863kW+8.4kW=20.263kW$
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