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: 27b

Answer

$$10.7$$

Work Step by Step

The average translational kinetic energy is $$ K_{\mathrm{avg}}=\frac{3}{2} k T=\frac{3}{2}\left(1.38 \times 10^{-23} \mathrm{J} / \mathrm{K}\right)[(32.0+273.15) \mathrm{K}]=6.32 \times 10^{-21} \mathrm{J} $$ The ratio $\varepsilon / K_{\mathrm{avg}}$ is $$\left(6.76 \times 10^{-20} \mathrm{J}\right) /\left(6.32 \times 10^{-21} \mathrm{J}\right)=10.7$$
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