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

The answer is 3.125%.

The relation between number of half-lives (n) and amount of sample that remained (x) can be expressed as:


It is given:
n = 5

To find x, we will change n in the equation with five:


⇒ 
⇒ 
⇒

Therefore, 3.125% of a radioactive species would be found as daughter material after five half-lives.

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