Answer:
6.70 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 = 458 000 yr
[tex]t_{\frac{1}{2} = \text{229 000 yr}[/tex] Calculate n
n = 458 000/229 000
n = 2.000
===============
N = 1.675 g Calculate N₀
[tex]1.675 = N_{0}(\frac{ 1}{2 })^{2.000}[/tex]
1.675 = N₀ × 0.2500 Divide by 0.2500 and transpose
N₀ = 1.675/0.2500
N₀ = 6.70 g
