Answer:
15.6 gram
Explanation:
half life, T = 100 years
initial amount, No = 500 g
decay time, t = 500 years
number of half lives, n = t / T = 500 / 100 = 5
Amount of substance remaining in the sample is given by
\(=N_{o}\left ( \frac{1}{2} \right )^{n}\)
where, n be the number of half lives, No be the initial amount, N be the remaining amount in the sample
So,
\(N=500\left ( \frac{1}{2} \right )^{5}\)
N = 15.6 g
Thus, the amount of remaining substance after 500 years is 15.6 g.
