Physics: Principles with Applications (7th Edition)

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

Chapter 30 - Nuclear Physics and Radioactivity - Problems - Page 882: 49

Answer

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Work Step by Step

a. Calculate the decay constant using equation 30–6. $$\lambda=\frac{ln 2}{T_{1/2}}=\frac{ln2}{(1.59\times10^5y)(3.156\times10^7s/y)}=1.38\times10^{-13}s^{-1}$$ b. The activity is the decay constant multiplied by the number of nuclei, equation 30-3b. $$|\frac{\Delta N}{\Delta t}|=\lambda N$$ $$=(1.381\times10^{-13}s^{-1}) (4.50\times 10^{18}nuclei)$$ $$=6.216\times10^5 \frac{decay}{s}\left(\frac{60s}{1min}\right)$$ $$=3.73\times10^7 decays/min$$
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