Physics (10th Edition)

Published by Wiley
ISBN 10: 1118486897
ISBN 13: 978-1-11848-689-4

Chapter 14 - The Ideal Gas Law and Kinetic Theory - Problems - Page 385: 36

Answer

$4.8\times10^{-21}J$

Work Step by Step

From equations 14.6 & 14.2, we can write, $$KE=\frac{3}{2}kT=\frac{3PV}{2N}$$ Let's plug known values into this equation. $KE=\frac{3PV}{2N}=\frac{3PV}{2nN_{A}}=\frac{3(4.5\times10^{5}Pa)(8.5\times10^{-3}m^{3})}{2(2\space mol)(6.022\times10^{23}mol^{-1})}$ $KE=4.8\times10^{-21}J$ (Translational kinetic energy)
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