Scelta multipla
Which of the following best describes what occurs during one half-life of a radioactive substance?
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15. Chemical Kinetics
Half-Life
Scelta multipla
After four half-lives, what fraction of a sample's original radioactive atoms remains?
A
1/2
B
1/16
C
1/8
D
1/4
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Understand that a half-life is the time required for half of the radioactive atoms in a sample to decay.
Recognize that after each half-life, the fraction of the original sample remaining is multiplied by 1/2.
Express the fraction remaining after n half-lives as \(\left(\frac{1}{2}\right)^n\).
Substitute n = 4 (since the problem asks about four half-lives) into the expression to get \(\left(\frac{1}{2}\right)^4\).
Simplify the expression to find the fraction of the original sample remaining after four half-lives.
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