Mathematics
Debiasio986
6

What percentage of a radioactive species would be found as daughter material after five half-lives?

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(1) Answers
MorganTyyler

The answer is 3.125%. The relation between number of half-lives (n) and amount of sample that remained (x) can be expressed as: [latex] (1/2)^{n} =x[/latex] It is given: n = 5 To find x, we will change n in the equation with five: [latex] (1/2)^{n} =x[/latex] ⇒ [latex] (1/2)^{5} =x[/latex] ⇒ [latex] 0.5^{5} =x[/latex] ⇒ [latex]x=0.03125 = \frac{3.125}{100} = 3.125%[/latex] Therefore, 3.125% of a radioactive species would be found as daughter material after five half-lives.

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