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 11 - Refrigeration Cycles - Problems - Page 648: 11-100

Answer

$COP_{}=0.20$

Work Step by Step

The cooling rate of the refrigerator is simply the rate of decrease of the energy of the canned drinks, $$ \begin{aligned} m & =\rho V=9 \times(1 \mathrm{~kg} / \mathrm{L})(0.350 \mathrm{~L})=3.15 \mathrm{~kg} \\ Q_{\text {cosling }} & =m c \Delta T=(3.15 \mathrm{~kg})\left(4.18 \mathrm{~kJ} / \mathrm{kg} \cdot{ }^{\circ} \mathrm{C}\right)(25-3)^{\circ} \mathrm{C}=290 \mathrm{~kJ} \\ \dot{Q}_{\text {cosling }} & =\frac{Q_{\text {cooling }}}{\Delta t}=\frac{290 \mathrm{~kJ}}{12 \times 3600 \mathrm{~s}}=0.00671 \mathrm{~kW}=6.71 \mathrm{~W} \end{aligned} $$ The electric power consumed by the refrigerator is $$ \dot{W}_{\text {in }}=\mathrm{V} I=(12 \mathrm{~V})(3 \mathrm{~A})=36 \mathrm{~W} $$ Then the COP of the refrigerator becomes $$ \mathrm{COP}=\frac{\dot{Q}_{\text {owoling }}}{\dot{W}_{\text {in }}}=\frac{6.71 \mathrm{~W}}{36 \mathrm{~W}}=\mathbf{0 . 1 8 6}=0.20 $$
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.