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: 7.24

Answer

The atomic radius of Bi is estimated to be $1.42$ angstrom.

Work Step by Step

A crude estimate of the Bi-I bond length (C) would be: $$A+B=C$$ where $A$ is the bonding atomic radius of Bi and $B$ is the bonding atomic radius of I. Since we already know the experimental Bi-I bond length and the bonding atomic radius of I, we can deduce the atomic radius of Bi by subtracting the atomic radius of I from the bond length. The experimental Bi-I bond length is $2.81$ angstrom and the atomic radius of I, from figure 7.7, is $1.39$ angstrom. Therefore, the atomic radius of Bi would be $$2.81-1.39=1.42 (angstrom)$$
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