Answer
See answer below.
Work Step by Step
$COP_{HP}=\dot{Q}_H/\dot{W}_i$
$\dot{Q}_H=\dot{W}_i+\dot{Q}_L$
$COP_{HP}=(\dot{W}_i+\dot{Q}_L)/\dot{W}_i=1+\dot{Q}_L/\dot{W}_i$
$COP_R=\dot{Q}_L/\dot{W}_i$
$COP_{HP}=COP_R+1$
Thermodynamics: An Engineering Approach 8th Edition
by Cengel, Yunus; Boles, Michael
Published by
McGraw-Hill Education
ISBN 10:
0-07339-817-9
ISBN 13:
978-0-07339-817-4
Chapter 6 - The Second Law of Thermodynamics - Problems - Page 326: 6-155
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