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Equivalent, Molar Conductivity and Cell Constant

A radioisotop...

Question

A radioisotope has $t_{1 / 2} = 5$ years. After given amount decays for $15$ years, what function of the original isotope remains?

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Solution

Let the initial sample be N.
Time = $\frac{15}{5}$ = 3 half lives

$N h a l f l i f e - ---- \to \frac{N}{2} h a l f l i f e - ---- \to \frac{N}{4} h a l f l i f e - ---- \to \frac{N}{4}$

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