the half - life of a radioactive kind of tin is 10 days. if you start with 66,048 grams of it, how much will…

Explanation:

Step1: Calculate number of half - lives

The half - life is 10 days and the time elapsed is 50 days. The number of half - lives $n=\frac{50}{10}=5$.

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, $A_0 = 66048$ grams and $n = 5$. So $A=66048\times(\frac{1}{2})^5$.

Step3: Calculate the remaining amount

$(\frac{1}{2})^5=\frac{1}{32}$, and $A = 66048\times\frac{1}{32}=2064$.

Answer:

2064