Answer :
Fermium-253 is a radioactive isotope with a half-life of 3.0 days. This means that every 3 days, the amount of fermium-253 in a sample will be reduced to half of its initial quantity due to radioactive decay.
To fill in the missing value in the table provided, follow these steps:
Initial Amount (0 days):
- The initial amount of fermium-253 is 216 micrograms.
After 3.0 days:
- Amount remaining: [tex]\frac{216}{2} = 108 \text{ micrograms}[/tex]
After 6.0 days:
- Amount remaining: [tex]\frac{108}{2} = 54 \text{ micrograms}[/tex]
After 9.0 days:
- Amount remaining: [tex]\frac{54}{2} = 27 \text{ micrograms}[/tex]
Therefore, after 9.0 days, 27 micrograms of fermium-253 should remain in the sample.