Question

how much of a radioactive kind of chromium will be left after 4 months if you start with 6,080 grams and the half - life is 1 month?

Explanation:

Step1: Identify decay formula

The formula for radioactive decay is $N = N_0\times(\frac{1}{2})^n$, where $N_0$ is the initial amount, $n$ is the number of half - lives.

Step2: Determine values of $N_0$ and $n$

Here, $N_0 = 6080$ grams and since the half - life is 1 month and time is 4 months, $n = 4$.

Step3: Calculate the remaining amount

$N=6080\times(\frac{1}{2})^4=6080\times\frac{1}{16}=380$ grams.

Answer:

380