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 579: 38a

Answer

Gas temperature is $270K$

Work Step by Step

From the graph, $v_{p}=400m/s$ Molecular mass of $N_{2}=M= 28g/mol=0.028kg/mol$ Now, we know $v_{p}=\sqrt (2RT/M)$ or, $T=\frac{1}{2}\frac{Mv_{p}^{2}}{R}= \frac{1}{2\times8.314}\times28\times400\times400= 270K$
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