Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 13 - Temperature and Kinetic Theory - Problems - Page 387: 49

Answer

$\sqrt{3}$

Work Step by Step

Consider the ideal gas law, PV=nRT. If the volume and the amount of gas do not change, and the pressure is tripled, the absolute temperature also triples. The rms speed is given by equation 13–9. We see that the rms speed is proportional to the square root of the absolute temperature, so the rms speed is multiplied by a factor of $\sqrt{3}\approx1.73$.
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