What fraction of sample is left after
A. 3half- live
B. 5half-live
A. After 3 half-lives, only 1/8th (or 0.125) of the original sample is left.
B. After 5 half-lives, only 1/32nd (or 0.03125) of the original sample is left.
To calculate the fraction of a sample that is left after a certain number of half-lives, you can use the equation:
Fraction remaining = (1/2)^(number of half-lives)
A. To find the fraction remaining after 3 half-lives, plug in 3 into the equation:
Fraction remaining = (1/2)^(3)
= 1/8
So, after 3 half-lives, 1/8th of the original sample is left.
B. To find the fraction remaining after 5 half-lives, plug in 5 into the equation:
Fraction remaining = (1/2)^(5)
= 1/32
So, after 5 half-lives, 1/32nd of the original sample is left.