how much of a radioactive kind of chromium will be left after 4 months if you start with 6,080 grams and the…

Explanation:

Step1: Determine the number of half - lives

The half - life is (t_{1/2}=1) month and the time elapsed is (t = 4) months. The number of half - lives (n=\frac{t}{t_{1/2}}). [n=\frac{4}{1}=4]

Step2: Use the radioactive decay formula

The formula for radioactive decay is (N = N_0\times\left(\frac{1}{2}\right)^n), where (N_0) is the initial amount and (n) is the number of half - lives. Given (N_0 = 6080) grams and (n = 4). [N=6080\times\left(\frac{1}{2}\right)^4] [N=6080\times\frac{1}{16}] [N = 380]

Answer:

(380)