Physics: Principles with Applications (7th Edition)

Published by Pearson
ISBN 10: 0-32162-592-7
ISBN 13: 978-0-32162-592-2

Chapter 27 - Early Quantum Theory and Models of the Atom - Problems - Page 800: 52

Answer

122 eV

Work Step by Step

Doubly ionized lithium is similar to hydrogen. The difference is that there are 3 protons in the nucleus. Ionizing the $Li^{2+}$ means removing the electron. This is the same as raising the electron to zero energy. Use equation 27–15b with Z=3 and n = 1. $$E_{ionization}=0-E_1$$ $$=0-\frac{-13.6eV(Z^2)}{1^2}=122eV$$
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