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 98: 2-12

Answer

$e_{mec}=50\frac{J}{kg}$ $W_{g}=1767.15kW$

Work Step by Step

In this case we only have kinetic energy: $e_{k}=e_{mec}=\frac{V^2}{2}=\frac{(10\frac{m}{s})^2}{2}=50\frac{J}{kg}$ And the flux of mass: $m=\rho VA=(1.25\frac{kg}{m^3})*(10\frac{m}{s})*(\frac{\pi*(60m)^2}{4})=35342.92kg/s$ Finally the power generation potential is: $W_{g}=E_{k}=m*e_{k}=35342.92\frac{kg}{s}*0.05\frac{kJ}{kg}$ $W_{g}=1767.15\frac{kJ}{s}=1767.15kW$
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