how much of a radioactive kind of bismuth will be left after 8 minutes if the half - life is 2 minutes and…

Explanation:

Step1: Calculate number of half - lives

The half - life is 2 minutes and the time elapsed is 8 minutes. The number of half - lives $n=\frac{8}{2}=4$.

Step2: Use the half - life formula

The formula for radioactive decay is $A = A_0\times(\frac{1}{2})^n$, where $A_0$ is the initial amount and $n$ is the number of half - lives. Here, $A_0 = 79360$ grams and $n = 4$. So $A=79360\times(\frac{1}{2})^4$.

Step3: Calculate the result

$(\frac{1}{2})^4=\frac{1}{16}$, and $A = 79360\times\frac{1}{16}=4960$.

Answer:

4960