You have 6,368 grams of a radioactive kind of cobalt. If its half-life is 271 days, how much
will be left after 542 days?

Question

03-02-2022
Mathematics

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You have 6,368 grams of a radioactive kind of cobalt. If its half-life is 271 days, how much
will be left after 542 days?

Sagot :

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jdoe0001 jdoe0001 · Answer 1 · 2022-02-03T19:01:56-05:00

[tex]\textit{Amount for Exponential Decay using Half-Life} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &6368\\ t=\textit{elapsed time}\dotfill &542\\ h=\textit{half-life}\dotfill &271 \end{cases} \\\\\\ A=6368\left( \frac{1}{2} \right)^{\frac{542}{271}}\implies A=6368\left( \frac{1}{2} \right)^2\implies A=1592[/tex]

Sagot :

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