zoeygilmore30 zoeygilmore30
  • 03-02-2022
  • Mathematics
contestada

The half-life of plutonium-241 is 14.4 years. How much of the original 3.6 grams of this
radioactive element will remain after 45 years?

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jdoe0001 jdoe0001
  • 03-02-2022

[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 &3.6\\ t=\textit{elapsed time}\dotfill &45\\ h=\textit{half-life}\dotfill &14.4 \end{cases} \\\\\\ A=3.6\left( \frac{1}{2} \right)^{\frac{45}{14.4}}\implies A=3.6\left( \frac{1}{2} \right)^{3.125}\implies A\approx 0.41265[/tex]

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Cringe2Win Cringe2Win
  • 28-04-2022

Answer: 0.41

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