Chemistry 9th Edition

Published by Cengage Learning
ISBN 10: 1133611095
ISBN 13: 978-1-13361-109-7

Chapter 5 - Gases - Review Questions: 7

Answer

a. Line A corresponds to $Cl_{2}$, and line B corresponds to $He$. b. Line A corresponds to 273 K and line B corresponds to 1273 K. $O_2$ will behave most ideally at 1273 K.

Work Step by Step

a. Because $Cl_2$ has a greater mass than $He$, a larger fraction of $Cl_2$ molecules will possess a lower velocity than $He$ which corresponds to Line A. Similarly, because $He$ is lighter than $Cl_2$, a greater fraction of $He$ molecules is able to reach higher velocities which correspond to Line B. b. At higher temperatures, a greater fraction of molecules is able to reach higher velocities. Therefore, Line A corresponds with 273 K as a greater fraction of molecules is found at a lower velocity. Similarly, Line B corresponds with 1273 K as a greater fraction of molecules, relative to at 273 K, is able to reach higher velocities. $O_2$ will behave most ideally at higher temperatures such as 1273 K because at higher temperatures, $O_2$ molecules experience a greater average kinetic energy and velocity. As a result, because of this higher energy and velocity, intermolecular forces between $O_2$ molecules are minimized at higher temperatures which is required for a gas to act ideally.
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