Debiasio986
6

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

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: $(1/2)^{n} =x$ It is given: n = 5 To find x, we will change n in the equation with five: $(1/2)^{n} =x$ ⇒ $(1/2)^{5} =x$ ⇒ $0.5^{5} =x$ ⇒ $x=0.03125 = \frac{3.125}{100} = 3.125%$ Therefore, 3.125% of a radioactive species would be found as daughter material after five half-lives.