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 196: 4-3

Answer

$T_0 = 433.0 K$ $T_f = 173.2 K$ $W = -540 kJ$

Work Step by Step

For ideal gases: $PV = nRT$ With Helium' molar mass: $M = 4.0026 \frac{kg}{kmol}$, and mass $m = 1\ kg$ $n = \frac{m}{M} = 0.25 kmol$ $R = 8.314 \frac{kJ}{kmol.K}$ $T_0 = \frac{P_0V_0}{nR}$, $T_f = \frac{P_fV_f}{nR}$ With $P_0=P_f = 180kPa, V_0=5m³, V_f=2m³$ $T_0 = 433.0 K$ $T_f = 173.2 K$ For the isobaric work: $W = P_0(V_f-V_0)$ $W = -540 kJ$
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