Question

The radioactive isotope 226Ra has a half-life of approximately 1599 years. There are 65g of 226Ra now.(1) How much of it remains after 1300 years? (Round your answer to three decimal places.) g Tries 0/99(2) How much of it remains after 13000 years? (Round your answer to three decimal places.) g Tries 0/99

Answer 1

The amount that remains after an specific period of time is given by the next equation. Is important to highlight is an exponential equiation, so the change is not going to be constant.

`\begin{gathered} N=N_0\cdot(1)/(2)^{(t)/(t(1)/(2))} \\ N=N_0\cdot0.5692 \\ N=36.998g \end{gathered}`

1. Based on the information, the time, the initial queantity and the half life time, we can find the quantity at that specific time (1300years)

Answer = 36.998g

2. Based on the information, the time, the initial queantity and the half life time, we can find the quantity at that specific time (13000years)

Answer = 0.232g

* Depending on the information you recieve there are 3 forms for the same equation, this type is used when you have the halft time and the actual time.