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 4 - Energy Analysis of Closed Systems - Problems - Page 203: 4-87

Answer

$V=55.14\ m/s=198.5\ km/h$

Work Step by Step

The energy balance for the hand: $Q_{hand}=\Delta KE=\frac{m_{hand}}{2}(0-V^2)$ The energy balance for the tissue: $Q_{tissue}=\Delta U= m_{tissue}c\Delta T$ With $Q_{tissue}=-Q_{hand}$ $V^2=\frac{2}{m_{hand}}m_{tissue}c\Delta T$ With $m_{hand}=0.9\ kg,\ m_{tissue}=0.15\ kg,\ c=3.8\ kJ/kg.K,\ \Delta T=2.4\ K$ Hence $V=55.14\ m/s=198.5\ km/h$
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