Question

If you have 100 g of a radioactive isotope that has a half-life of 15 years. How much of thesample will remain after 15 years

Answer 1

Using the formula for the amount of the remaining sample as,

`N=N_o((1)/(2))^{(t)/(T)}`

Here t is the time for amount to be calculated, T is the half life time

Substituting the known values here,

`\begin{gathered} N=100*((1)/(2))^{(15)/(15)} \\ N=100*((1)/(2)) \\ N=50\text{ g} \end{gathered}`

Thus, the amount of the remaining sample is 50 g.