Chemistry: The Molecular Science (5th Edition)

Published by Cengage Learning
ISBN 10: 1285199049
ISBN 13: 978-1-28519-904-7

Chapter 18 - Nuclear Chemistry - Questions for Review and Thought - Topical Questions - Page 817b: 33



Work Step by Step

Let $R$ be the final activity and $R_{0}$ be the initial activity. Given: $R=\frac{1}{16}R_{0}$ We know that after one half-life, $R=\frac{1}{2}R_{0}$, after two half-lives, $R=(\frac{1}{2})^{2}\times R_{0}$ and after 4 half-lives, $R=(\frac{1}{2})^{4}\times R_{0}=\frac{1}{16}R_{0}$. $\implies$ 4 half-lives=2 hours Or 1 half-life=$\frac{2\,h}{4}=30\,min$
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