Question

The half- life of actinium-228 is 6.13 hours What amount of a 70 milliqram sample remains after 24.52 hours?

Answer 1

Approximately 5.22 milligrams of actinium-228 will remain after 24.52 hours.

Step-by-step explanation:

To calculate the amount of actinium-228 remaining after a certain time, we can use the formula:

Amount remaining = Initial amount × (1/2)^(t / half-life)

Given that the half-life of actinium-228 is 6.13 hours and we have a 70 milligram sample, we can plug the values into the formula:

Amount remaining = 70 mg × (1/2)^(24.52 / 6.13)

Solving this equation, we find that approximately 5.22 milligrams of actinium-228 will remain after 24.52 hours.