Answer:
0.0102 g
Explanation:
A common formula for determining the amount of sample remaining in terms of its half-life is
[tex]N =N_{0}(\frac{ 1}{2 })^{n}[/tex]
where
[tex]n = \frac{t }{t_{\frac{1 }{2 }} }[/tex]
t = 50 000 yr
[tex]t_{\frac{ 1}{ 2}} = \text{5730 yr }[/tex] Calculate n
n = 50 000/5730
n = 8.726
===============
N₀ = 4.30 g Calculate N
[tex]N = 4.30(\frac{ 1}{2 })^{8.726}[/tex]
N = 4.30 × 2.36 × 10⁻³
N₀ = 0.0102 g