Question

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

Explanation:

Step1: Identify decay formula

The formula for radioactive decay is $N = N_0\times(\frac{1}{2})^{\frac{t}{T_{1/2}}}$, where $N_0$ is the initial amount, $t$ is the time elapsed, and $T_{1/2}$ is the half - life.

Step2: Substitute values

Here, $N_0 = 64$ grams, $t = 3$ months, and $T_{1/2}=1$ month. So $N = 64\times(\frac{1}{2})^{\frac{3}{1}}$.

Step3: Calculate result

$(\frac{1}{2})^3=\frac{1}{8}$, and $64\times\frac{1}{8}=8$ grams.

Answer:

8