Chemistry: An Introduction to General, Organic, and Biological Chemistry (12th Edition)

Published by Prentice Hall
ISBN 10: 0321908449
ISBN 13: 978-0-32190-844-5

Chapter 5 - Section 5.6 - Nuclear Fission and Fusion - Understanding the Concepts - Page 162: 5.66c

Answer

90 years.

Work Step by Step

After 1 half-life, amount remaining= $28\,mg\times\frac{1}{2}=14\,mg$ After 2 half-lives, amount remaining= $14\,mg\times\frac{1}{2}=7\,mg$ After 3 half-lives, amount remaining =$7\,mg\times\frac{1}{2}=3.5\,mg$ 3 half-lives are required for 28 mg to decay to 3.5 mg. $t=3\times t_{1/2}=3\times30\,y=90\,y$
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