High School

The half-life of [tex]$^{20}F$[/tex] is 11 seconds. What fraction of a sample of [tex]$^{20}F$[/tex] will remain after 44 seconds have elapsed?

A. [fraction choice 1]

B. [fraction choice 2]

C. [fraction choice 3]

D. [fraction choice 4]

Answer :

Final answer:

Approximately 6.25% of the sample of 20F will remain after 44 s have elapsed.

Explanation:

The fraction of a sample of 20F remaining after 44 s have elapsed can be calculated using the concept of half-life. The half-life of 20F is 11 s, which means that after every 11 s, half of the sample will decay. Since 44 s is equal to 4 half-lives of 20F (44/11), we can calculate the fraction remaining using the equation:

Fraction remaining = (1/2) ^ (number of half-lives)

Substituting the value of 4 for the number of half-lives, we get:

Fraction remaining = (1/2) ^4 = 1/16 = 0.0625

Therefore, approximately 6.25% of the sample of 20F will remain after 44 s have elapsed.

Learn more about half-life of 20F here:

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