Question

Ex5: The half-life of a certain radioactive isotope is 1430 years. If 24 grams are present now, howmuch will be present in 500 years?

Answer 1

`A=A_0\cdot((1)/(2))^{(t)/(h)}`

For the given situation:

`\begin{gathered} A_0=24g \\ h=1430 \\ t=500 \\ \\ A=24((1)/(2))^{(500)/(1430)} \\ \\ A=24((1)/(2))^{(50)/(143)} \\ \\ A\approx18.83g \end{gathered}`

Then, after 500 years there will be approxiomately 18.83 grams of the radioactive isotope