How much of a radioactive kind of francium will be left after 44 minutes if you start with 2,616 grams and the half-life is 22 minutes?
To determine how much of a radioactive kind of francium will be left after 44 minutes, we need to find the number of half-lives that have occurred within that time period.
The half-life of francium is given as 22 minutes. Therefore, after 22 minutes, half of the initial amount will remain. Let's calculate the number of half-lives that occur in 44 minutes:
Number of half-lives = Time elapsed / Half-life
Number of half-lives = 44 minutes / 22 minutes = 2
This means that after 44 minutes, 2 half-lives have passed.
Now, to find the remaining amount of francium, we can use the formula:
Remaining amount = Initial amount * (1/2)^(Number of half-lives)
Remaining amount = 2,616 grams * (1/2)^2
Remaining amount = 2,616 grams * (1/4)
Remaining amount = 654 grams
Therefore, after 44 minutes, there will be 654 grams of the radioactive kind of francium remaining.