Sure, let's fill out the table step by step:
1. The initial amount of fermium-253 is assumed to be 1 gram.
2. Step for 3.0 days:
- The half-life of fermium-253 is 3.0 days. After one half-life (3.0 days), the amount of fermium-253 remaining is half of the initial amount.
- Amount remaining after 3.0 days: [tex]\( \frac{1}{2} = 0.5 \)[/tex] grams.
3. Step for 6.0 days:
- After another 3.0 days (total of 6.0 days), the amount of fermium-253 remaining will be half of the amount after the first half-life.
- Amount remaining after 6.0 days: [tex]\( \frac{0.5}{2} = 0.25 \)[/tex] grams.
4. Step for 9.0 days:
- After another 3.0 days (total of 9.0 days), the amount of fermium-253 remaining will be half of the amount after the second half-life.
- Amount remaining after 9.0 days: [tex]\( \frac{0.25}{2} = 0.125 \)[/tex] grams.
So, the completed table is:
\begin{tabular}{|c|c|}
\hline \begin{tabular}{c}
Time \\
Elapsed
\end{tabular} & \begin{tabular}{c}
Amount \\
Remaining
\end{tabular} \\
\hline 3.0 days & 0.5 \\
\hline 6.0 days & 0.25 g \\
\hline 9.0 days & 0.125 g \\
\hline
\end{tabular}
