The half-life of Iodine-135 is 8 days. A 121-gram sample of Iodine-135 is monitored for one month. Assuming there are 30 days in the month how many grams of Iodine-135 are left after 1 month (rounded to the nearest hundredths)?
A) 0.47
B) 8.99
C) 110.96
D) 60.50
E) 100.58

Question

Quizplus · Accepted Answer

The half-life formula is used to calculate the remaining amount of a substance after a certain time period. The formula is: $ P = P_0 \times (1/2)^{t/T} $, where $ P $ is the final amount, $ P_0 $ is the initial amount, $ t $ is the time elapsed, and $ T $ is the half-life period. For Iodine-135 with a half-life of 8 days and an initial amount of 121 grams over 30 days, the calculation is: $ 121 \times (1/2)^{30/8} \approx 8.99 $ grams.

The Half-Life of Iodine-135 Is 8 Days