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 578: 21

Answer

$v_{rms}=1.8\times10^2\frac{m}{s}$

Work Step by Step

Root mean square speed of hydrogen can be calculated from the equation: $v_{rms}=\sqrt\frac{3RT}{M}$ From Table 19-1, the Hydrogen molar mass is $M=2.0159\times10^{-3}Kg mol^{-1}$ Substituting the values into the equation, we get $v_{rms}=\sqrt\frac{3(8.314)(2.7)}{2.0159\times10^{-3}}$ $v_{rms}=1.8\times10^2\frac{m}{s}$
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