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zimovet [89]
3 years ago
14

The half-life of a radioactive isotope is the time it takes for a quantity of the Isotope to be reduced to half Its Initial mass

. Starting with 165 grams of a
radioactive isotope, how much will be left after 3 half-lives??
Mathematics
1 answer:
mariarad [96]3 years ago
6 0

\stackrel{\textit{half of 165}}{165\cdot \cfrac{1}{2}}~\hfill \stackrel{\textit{half of half of 165}}{165\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}}~\hfill \stackrel{\textit{half of half of half of 165}}{165\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}\cdot \cfrac{1}{2}} \\\\\\ 165\cdot \cfrac{1}{8}\implies \cfrac{165}{8}\implies 20.625~grams

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