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: 2-68

Answer

a) $\eta=66.88%$ b) $\Delta P=147.14kPa$

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 needed is: $P_{p}=1000\frac{kg}{m^3}*(70\frac{L}{s}*\frac{1m^3}{1000L})*9.81\frac{m}{s^2}*15m=10.3kW$ Then the overall efficiency is: $\eta=\frac{10.3kW}{15.4kW}=0.6688$ $\eta=66.88%$ For the pressure: $P_{p}=Q\Delta P$ Then: $\Delta P=\frac{P_{p}}{Q}=\frac{10.3kW}{70\frac{L}{s}*\frac{1m^3}{1000L}}=147.14kPa$
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