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 7 - Entropy - Problems - Page 402: 7-76

Answer

$\Delta S=0.719\ kJ/K$

Work Step by Step

$\Delta s = c_v\ln\left(\dfrac{T_2}{T_1}\right)+R\ln\left(\dfrac{v_2}{v_1}\right)$ At a constant-volume process: $v_2=v_1$ $\Delta S = mc_v\ln\left(\dfrac{T_2}{T_1}\right)$ For ideal gases: $\dfrac{P_1V_1}{T_1}=\dfrac{P_2V_2}{T_2}$ $\dfrac{T_2}{T_1}=\dfrac{P_2}{P_1}$ Given $P_2=150\ kPa,\ P_1=100\ kPa\rightarrow \dfrac{T_2}{T_1}=1.5$ Since $m=2.7\ kg, c_v=0.657\ kJ/kg.K$ $\Delta S=0.719\ kJ/K$
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