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: 25b

Answer

$K.E=7.72\times10^{-21}J$

Work Step by Step

The average Kinetic energy for molecules of an ideal gas can be found from the formula: $K.E=(\frac{3}{2})(\frac{R}{N_{A}})T$................eq(1) We first need to convert the temperature to Kelvin: $T=C^{\circ}+273=100+273=373K$ Now, we substitute the values of $R,T$ and $N_A$ in eq(1) and solve: $K.E=(\frac{3}{2})(\frac{8.314}{6.023\times10^{23}})(373)$ $K.E=7.72\times10^{-21}J$
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