The half life of 131I is 8.021 days. What fraction of a sample of 131I remains after 24.063 days?

1 Answer
May 22, 2017

After three half-lines (248=3) one eighth of the original iodine-131 (12×12×12) remains.

Explanation:

Start with your sample of iodine-131. In one half-life, just over eight days, half of the sample decays leaving the other half. That remaining half is in effect its own sample in which half decays again after another half-life. You're now left with one-fourth of the original iodine-131 with half decaying in the third half-life from when you started.