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 4 - Energy Analysis of Closed Systems - Problems - Page 205: 4-112

Answer

$T_2=118.94°C$

Work Step by Step

The energy balance for this system reduces to: $-W_e=\Delta U=m(u_2-u_1)$ The electrical work is given by (with $V=50 V,\ I=10\ A,\ \Delta t=30min=1800s$): $-W_e=V.I.\Delta t$ $-W_e=900\ kJ$ At the initial state (Table A-4): $u_1=167.53\ kJ/kg,\ v_1=0.001008\ m³/kg$ From the energy balance ($m=3\ kg$): $u_2=\frac{-W_e}{m}+u_1$ $u_2=467.53\ kJ/kg$ Since the volume is constant: $v_2=v_1$ From a NIST table (https://www.nist.gov/sites/default/files/documents/srd/NISTIR5078-Tab3.pdf): we can interpolate to find: $T_2=118.94°C$, $P_2=112.74\ MPa$
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