Chemistry 12th Edition

Published by McGraw-Hill Education
ISBN 10: 0078021510
ISBN 13: 978-0-07802-151-0

Chapter 19 - Nuclear Chemistry - Questions & Problems - Page 893: 19.31

Answer

$t = 65\ years$

Work Step by Step

Integrated first order rate law is given as: $ln\frac{[A]_{t}}{[A]_{0}} = -\lambda t$ $\lambda = \frac{0.693}{t_{\frac{1}{2}}} = \frac{0.693}{28.1 years} = 0.0247 year^{-1}$ Hence, $ln\frac{0.2}{1} = - 0.0247 t$ or, $t = 65\ years$
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