Answer:
3.11 mg
Explanation:
From the question given above, the following data were obtained:
Half-life (t½) = 2.6 hr
Original amount (N₀) = 49.7 mg
Time (t) = 10.4 hr
Amount remaining (N) =.?
Next, we shall determine the number of half-lives that has elapsed. This can be obtained as follow:
Half-life (t½) = 2.6 hr
Time (t) = 10.4 hr
Number of half-lives (n) =?
n = t / t½
n = 10.4 / 2.6
n = 4
Thus, 4 half-lives has elapsed.
Finally, we shall determine the amount remaining. This can be obtained as illustrated below:
Original amount (N₀) = 49.7 mg
Number of half-lives (n) = 4
Amount remaining (N) =.?
N = 1/2ⁿ × N₀
N = 1/2⁴ × 49.7
N = 1/16 × 49.7
N = 0.0625 × 49.7
N = 3.11 mg
Therefore, the amount remaining is 3.11 mg
