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?
To determine how much of the radioactive chromium will be left after 4 months, we need to calculate the number of half-lives that occur within this time period.
Half-life is the time it takes for half of the radioactive substance to decay. In this case, the half-life of chromium is 1 month.
After 1 month, half of the initial amount of chromium will decay: 6,080 grams / 2 = 3,040 grams
After 2 months, half of the remaining amount will decay: 3,040 grams / 2 = 1,520 grams
After 3 months, half of the remaining amount will decay: 1,520 grams / 2 = 760 grams
Since 4 months is equivalent to 4 half-lives, we can calculate the amount of chromium left after these 4 half-lives:
760 grams / 2 = 380 grams
Therefore, after 4 months, there will be 380 grams of the radioactive kind of chromium left.