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 5 - Mass and Energy Analysis of Control Volumes - Problems - Page 263: 5-123

Answer

$Q_i=2308\ kJ$

Work Step by Step

From tables A-4 to A-6: Initial ($x_1=0, T_1=200°C$): $v_1=0.001157\ m³/kg,\ u_1=850.46\ kJ/kg$ Exiting ($x_e=0, T_e=200°C$): $h_e=852.26\ kJ/kg$ From $m=V/v,\ V_t=0.3\ m³$: $m_1=259.4\ kg$ Since $m_2=1/2\times m_1 \rightarrow m_2=129.7\ kg$ From the material balance: $m_e=m_1-m_2$ $m_e=129.7\ kg$ Hence $v_2=0.002313\ m³/kg$ Final state ($T_2=200°C,\ v_2$): $x_2=0.009171,\ u_2=866.46\ kJ/kg$ From the energy balance: $Q_i-m_eh_e=m_2u_2-m_1u_1$ $Q_i=2308\ kJ$
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