the half - life of a radioactive kind of mercury is 64 hours. if you start with 93,568 grams of it, how much…

Explanation:

Step1: Calculate number of half - lives

The number of half - lives $n=\frac{320}{64}=5$.

Step2: Use the radioactive decay 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, $A_0 = 93568$ and $n = 5$. So $A=93568\times(\frac{1}{2})^5$.

Step3: Calculate the remaining amount

$A = 93568\times\frac{1}{32}=2924$.

Answer:

2924