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 3 - Properties of Pure Substances - Problems - Page 161: 3-141

Answer

a) $71^{\circ}C$

Work Step by Step

Knowing that: $V_{1}=V_{2}$ $m_{2}=\frac{m_{1}}{2}$ $\frac{m_{1}RT_{1}}{P_{1}}=\frac{m_{2}RT_{2}}{P_{2}}$ $P_{1}=4atm=405.3kPa$ $P_{2}=2.2atm=222.915kPa$ Simplifying and substituting: $T_{2}=\frac{2T_{1}P_{2}}{P_{1}}=\frac{2*(40+273.15)K*222.915kPa}{405.3kPa}=344.465K$ $T_{2}=71.315^{\circ}C$
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