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: 2-69

Answer

$W_{e}=804.248kW$ $E_{e,day}=19301.952\frac{kWh}{day}$ $Money_{day}=1737.18\frac{dollars}{day}$

Work Step by Step

Here we are working with kinetic energy: The kinetic work is: $W_{k}=\frac{1}{2}mV^2$ Where $m=\rho Q=\rho VA$ $m=1.25\frac{kg}{m^3}*8\frac{m}{s}*(\frac{\pi*(100m)^2}{4})=78539.82\frac{kg}{s}$ And then the energy of the fluid is: $W_{k}=\frac{1}{2}*78539.82\frac{kg}{s}*(8\frac{m}{s})^2=2513.274kW$ The actual electric generation will be: $W_{e}=\eta W_{k}=0.32*2513.274kW=804.248kW $ The amount of electric energy per day is: $E_{e,day}=W_{e}*t=804.248kW*24h=19301.952\frac{kWh}{day}$ And its monetary value is: $Money_{day}=19301.952\frac{kWh}{day}*0.09\frac{dollars}{kWh}=1737.18\frac{dollars}{day}$
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