after the third half - life, how much of the sample is left? 1/8 1/16 1/2 1/3
after the third half - life, how much of the sample is left? 1/8 1/16 1/2 1/3
Answer
Answer:
A. 1/8
Explanation:
Step1: Recall half - life concept
The amount of a sample remaining after (n) half - lives is given by the formula (A = A_0\times(\frac{1}{2})^n), where (A_0) is the initial amount and (n) is the number of half - lives.
Step2: Substitute (n = 3)
When (n = 3), we have (A=A_0\times(\frac{1}{2})^3).
Step3: Calculate the result
((\frac{1}{2})^3=\frac{1}{2}\times\frac{1}{2}\times\frac{1}{2}=\frac{1}{8}). So the fraction of the sample remaining is (\frac{1}{8}).