you have 84,000 grams of a radioactive kind o...
you have 84,000 grams of a radioactive kind of tellurium. how much will be left after 75 minutes if its half - life is 25 minutes? grams
Answer
# Explanation:
## Step1: Calculate number of half - lives
The number of half - lives $n=\frac{75}{25}=3$.
## 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, $A_0 = 84000$ grams and $n = 3$. So $A=84000\times(\frac{1}{2})^3$.
## Step3: Calculate the remaining amount
$A = 84000\times\frac{1}{8}=10500$ grams.
# Answer:
10500