Answer:
0.001 g
Explanation:
From the question given above, the following data were obtained:
Half-life (t½) = 5730 years
Original amount (N₀) = 144 g
Time (t) = 100,000 years
Amount remaining (N) =?
Next, we shall determine the number of half-lives that has elapsed. This can be obtained as follow:
Half-life (t½) = 5730 years
Time (t) = 100,000 years
Number of half-lives (n) =?
n = t / t½
n = 100,000 / 5730
n ≈ 17
Finally, we shall determine the amount remaining. This can be obtained as follow:
Original amount (N₀) = 144 g
Number of half-lives (n) = 17
Amount remaining (N) =?
N = 1/2ⁿ × N₀
N = 1/2¹⁷ × 144
N = 1/131072 × 144
N = 0.000007 × 144
N ≈ 0.001 g
Thus, the amount remaining after 100000 years is 0.001 g
