you have 54,544 grams of a radioactive kind of iodine. how much will be left after 106 minutes if its half…

Explanation:

Step1: Calculate the number of half - lives

The number of half - lives $n=\frac{t}{T}$, where $t = 106$ minutes is the elapsed time and $T = 53$ minutes is the half - life. So $n=\frac{106}{53}=2$.

Step2: Use the radioactive decay formula

The formula for radioactive decay is $N = N_0\times(\frac{1}{2})^n$, where $N_0 = 54544$ grams is the initial amount and $n$ is the number of half - lives. Substitute $N_0 = 54544$ and $n = 2$ into the formula: $N=54544\times(\frac{1}{2})^2$. $N = 54544\times\frac{1}{4}$. $N = 13636$.

Answer:

13636