How to Calculate the Activity of Tin-129 Sample?
How to calculate the activity of a 7.8 mg sample of tin-129?
Can you provide the answer in becquerels and curies?
Calculating the Activity of Tin-129 Sample
The activity of a radioactive sample is the number of radioactive decays per second. The half-life of a radioactive isotope is the time it takes for half of the atoms in a sample to decay.
The activity of a sample of tin-129 can be calculated by multiplying the number of atoms in the sample by the decay constant of tin-129 and the time. The decay constant is a measure of how quickly a radioactive isotope decays.
For a 7.8 mg sample of tin-129, the activity can be calculated using the following formula:
Activity = 6.022 × 10^23 × 0.693 × 2.23 min × 1 h × 60 min / 1 g × 7.8 mg
After calculation, the activity of the sample in becquerels is 3.3 × 10^9 Bq and in curies is 0.91 Ci.
Therefore, the activity of a 7.8 mg sample of tin-129 is 3.3 × 10^9 Bq or 0.91 Ci, rounded to 2 significant digits.