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 - Challenge Questions - Page 163: 5.80

Answer

$64\,\mu Ci$

Work Step by Step

Number of half-lives= $\frac{t}{t_{1/2}}=\frac{130\,days}{32.5\,days}=4$ The sample underwent 4 half-lives. That is, the initial activity is decreased by half four times. If $A_{0}$ is the initial activity, then $A_{0}\times(\frac{1}{2})^{4}=4.0\,\mu Ci$ Or $A_{0}=4.0\,\mu Ci\times2^{4}=64\,\mu Ci$
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