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 102: 2-70

Answer

$P_{e}=189.7kW$

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 maximum potential power is: $P_{p}=1000\frac{kg}{m^3}*(0.25\frac{m^3}{s})*9.81\frac{m}{s^2}*85m=208.462kW$ As the efficiency is $91%$, the electric power output is: $P_{e}=\eta P_{p}=208.462kW*0.91=189.7kW$
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