Chemistry: The Central Science (13th Edition)

Published by Prentice Hall
ISBN 10: 0321910419
ISBN 13: 978-0-32191-041-7

Chapter 7 - Periodic Properties of the Elements - Exercises: 7.32b


The effective nuclear charge: $Z_{eff}(Cl^-)=7+$ and $Z_{eff}(K^+)=9+$

Work Step by Step

The formula to calculate $Z_{eff}$ is $$Z_{eff}=Z-S$$ Z: the nuclear charge of the element S: the screening constant Both $Cl^-$ and $K^+$ have 18 electrons and the same electron configuration: $1s^22s^22p^63s^23p^6$. That means both ions have 10 core electrons (n=1 and n=2) and 8 valence electrons (n=3). Therefore, the screening constant $S$ for both $Cl^-$ and $K^+$ is $$S=10\times1.00+8\times0.00=10.00$$ The nuclear charge of $Cl^-$ is $Z=17+$ The nuclear charge of $K^+$ is $Z=19+$ Therefore, the effective nuclear charge of $Cl^-$ and $K^+$ is $Z_{eff}(Cl^-)=(17+)-10.00=7+$ $Z_{eff}(K^+)=(19+)-10.00=9+$
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