What fraction of the amount of carbon-14 that was the mammoth's tooth when it died is left after five half-lives?

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What fraction of the amount of carbon-14 that was the mammoth's tooth when it died is left after five half-lives?

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Answer 1 · 2017-09-25T07:38:50

Well, after 5 half-lives, should it not be.... ${(\frac{1}{2})}^{5}$ $(1/2)^5$ ?

Explanation:

Which is what? ${(\frac{1}{2})}^{5} = \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} \times \frac{1}{2} = \frac{1}{32}$ $(1/2)^5=1/2xx1/2xx1/2xx1/2xx1/2=1/32$

And so there is a $\frac{1}{32}$ $1/32$ fraction of the original $^{14} C$ $""^14C$ in the sample....

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What fraction of the amount of carbon-14 that was the mammoth's tooth when it died is left after five half-lives?

1 Answer

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