The age of the bone is 45840 years.
We'll begin by calculating the number of half-lives that has elapsed.
Amount remaining (N) = 0.3125 g
Initial amount (N₀) = 80 g
<h3>Number of half-lives (n) =? </h3>
N × 2ⁿ = N₀
0.3125 × 2ⁿ = 80
Divide both side by 0.3125
2ⁿ = 80 / 0.3125
2ⁿ = 256
2ⁿ = 2⁸
<h3>n = 8</h3>
Thus, 8 half-lives has elapsed
Finally, we shall determine the age of the bone.
Half-life (t½) = 5730 years
Number of half-lives (n) = 8
<h3>Time (t) =? </h3>
t = n × t½
t = 8 × 5730
<h3>t = 45840 years </h3>
Therefore, the age of the bone is 45840 years.
Learn more on half-life: brainly.com/question/15900105
