how much of a radioactive kind of rhodium will be left after 168 minutes if you start with 878,832 grams and…

how much of a radioactive kind of rhodium will be left after 168 minutes if you start with 878,832 grams and the half - life is 56 minutes? grams

how much of a radioactive kind of rhodium will be left after 168 minutes if you start with 878,832 grams and the half - life is 56 minutes? grams

Answer

Explanation:

Step1: Calculate number of half - lives

The number of half - lives $n=\frac{168}{56}=3$.

Step2: Use 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, $A_0 = 878832$ and $n = 3$. So $A=878832\times(\frac{1}{2})^3$.

Step3: Calculate the remaining amount

$A = 878832\times\frac{1}{8}=109854$.

Answer:

109854