the half - life of a radioactive kind of americium is 432 years. if you start with 814,816 grams of it, how…

Explanation:

Step1: Calculate number of half - lives

The number of half - lives $n=\frac{2160}{432}=5$.

Step2: Use 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, $A_0 = 814816$ and $n = 5$. So $A=814816\times(\frac{1}{2})^5$.

Step3: Calculate the remaining amount

$A = 814816\times\frac{1}{32}=25463$.

Answer:

25463