College Physics (4th Edition)

Published by McGraw-Hill Education
ISBN 10: 0073512141
ISBN 13: 978-0-07351-214-3

Chapter 13 - Multiple-Choice Questions - Page 495: 1

Answer

The rms speeds of different molecules are: (e) inversely proportional to $\sqrt{molecular~mass}$

Work Step by Step

In an ideal gas, the average kinetic energy of the molecules is $\overline{KE} = \frac{3}{2}kT$ Then: $\frac{1}{2}m\overline{v^2} = \frac{3}{2}kT$ $v_{rms} = \sqrt{\frac{3kT}{m}}$ The rms speeds of different molecules are: (e) inversely proportional to $\sqrt{molecular~mass}$
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