Fundamentals of Physics Extended (10th Edition)

Published by Wiley
ISBN 10: 1-11823-072-8
ISBN 13: 978-1-11823-072-5

Chapter 19 - The Kinetic Theory of Gases - Problems - Page 578: 15

Answer

The gas temperature is $360K$

Work Step by Step

We know, in case of isothermal process: $W=Q=nRTln(\frac{V_{f}}{V_{i}})$ Take any easy and clear point on graph. One of them is, $Q=1000J$ and it is already given that $V_{i}=0.20m^{3}$ and $V_{f}=V_{fs}=0.30m^{3}$ and $n=0.825mol$ So, $1000=0.825*8.314*T*ln(\frac{0.3}{0.2})$ which gives, $T=360K$
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