Question

How much of a 2 gram sample of silver-105 would remain after 6 days? round to three decimal places.

Answer 1

As we already know from the previous point, we have an exponential model for the mass of this element (with half life of 41.3 days and an intitial mass of 2 grams) in function of the time:

`M(t)=2\cdot0.5^{(t)/(41.3)}`

We can calculate the mass after t = 6 days as:

`\begin{gathered} M(6)=2\cdot0.5^{(6)/(41.3)} \\ M(6)\approx2\cdot0.904 \\ M(6)\approx1.808 \end{gathered}`

Answer: the mass will be 1.808 grams after 6 days.