Mathematics, 31.12.2019 17:31 Lugo7006
Half life is the time taken for half a quantity of a substance to decay . fermium (atomic number 100 ) has 19 isotopes , most of which have half-lives if less than a second .
Answers: 1
![\bf \stackrel{\textit{Fermium 252}}{\textit{Amount for Exponential Decay using Half-Life}} \\\\ A=P\left( \frac{1}{2} \right)^{\frac{t}{h}}\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &40\\ t=\textit{elapsed time}\dotfill &15\\ h=\textit{half-life}\dotfill &1 \end{cases} \\\\\\ A=40\left( \frac{1}{2} \right)^{\frac{15}{1}}\implies A=40\left( \frac{1}{2} \right)^{15}\implies A\approx \boxed{0.00122} \\\\[-0.35em] \rule{34em}{0.25pt}](/tpl/images/0438/4742/c2e11.png)
![\bf A=60\left( \frac{1}{2} \right)^{\frac{15}{3}}\implies A=60\left( \frac{1}{2} \right)^5\implies \boxed{A=1.875} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill \stackrel{0.00122+1.875}{1.87622} ~\hfill](/tpl/images/0438/4742/052a8.png)
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Half life is the time taken for half a quantity of a substance to decay . fermium (atomic number 100...
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