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: 2-16

Answer

$W_{g}=443.7MW$

Work Step by Step

In this case we are working with kinetic and potential energy: $e_{t}=e_{k}+e_{p}=\frac{V^2}{2}+gz=\frac{(3\frac{m}{s})^2}{2}+(9.81\frac{m}{s^2})*(90m)=887.4\frac{J}{kg}$ For the flux of mass: $m=\rho V=(1000\frac{kg}{m^3})*(500\frac{m^3}{s})=500000\frac{kg}{s}$ Then the power generation potential is: $W_{g}=E_{t}=m*e_{t}=500000\frac{kg}{s}*0.8874\frac{kJ}{kg}=443700\frac{kJ}{s}=443700kW$ $W_{g}=443.7MW$
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