The isotope ${?}_{13}^{28}Al$ has a half$-$life of $2\mathrm{.}24$ min $.$ Determine the time interval $($in min$)$ required for the activity of a sample of this isotope to decrease to $46\mathrm{.}0\%$ of its original value.

Can you find an expression for the decay rate at any time in terms of the decay rate at the time $t=0,$ the decay constant and the time? How can you modify this expression to decay constant related to the half$-$life? min

Additional Materials

eBook