how much of a radioactive kind of chromium will be left after 3 months if you start with 64 grams and the…
how much of a radioactive kind of chromium will be left after 3 months if you start with 64 grams and the half - life is 1 month? grams
Answer
Explanation:
Step1: Identify decay formula
The formula for radioactive - decay is $A = A_0(\frac{1}{2})^n$, where $A_0$ is the initial amount, $n$ is the number of half - lives.
Step2: Determine values of $A_0$ and $n$
Given $A_0=64$ grams and since the half - life is 1 month and the time elapsed is 3 months, $n = 3$.
Step3: Calculate the remaining amount
Substitute $A_0 = 64$ and $n = 3$ into the formula: $A=64\times(\frac{1}{2})^3$. First, calculate $(\frac{1}{2})^3=\frac{1}{8}$. Then, $A = 64\times\frac{1}{8}=8$.
Answer:
8