you have 984 grams of a radioactive kind of krypton. how much will be left after 6 minutes if its half…

you have 984 grams of a radioactive kind of krypton. how much will be left after 6 minutes if its half - life is 3 minutes? grams

you have 984 grams of a radioactive kind of krypton. how much will be left after 6 minutes if its half - life is 3 minutes? grams

Answer

Explanation:

Step1: Calculate number of half - lives

The half - life is 3 minutes and the time elapsed is 6 minutes. The number of half - lives $n=\frac{6}{3}=2$.

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, $A_0 = 984$ grams and $n = 2$. So $A=984\times(\frac{1}{2})^2$. $A = 984\times\frac{1}{4}=246$.

Answer:

246