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 106: 2-122

Answer

$P_{e}=48.21MW$

Work Step by Step

Here we are working with potential energy: The potential work is: $W_{p}=mgh$ And the potential power is: $P_{p}=\frac{W_{p}}{t}=\frac{mgh}{t}=\rho Qgh$ The potential power obtained is: $P_{p}=1000\frac{kg}{m^3}*65\frac{m^3}{s}*9.81\frac{m}{s^2}*90m=57.39MW$ Taking in count the efficiency, the electric power generated is: $P_{e}=\eta P_{p}=0.84*57.39MW=48.21MW$
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