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: 46

Answer

$2400^{\circ}C$

Work Step by Step

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. The mass stays the same, so to triple the rms speed we multiply the absolute temperature by a factor of 9. $$T_{new}=9T_{old}=9(273+20)K=2637K\approx2400^{\circ}C$$
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