Answer :
Final answer:
To determine the age of the sample, we can use the formula: ln(Nt/N0) = -kt. Plugging in the values, we can calculate the age of the sample.
Explanation:
To determine the age of the sample, we can use the formula:
ln(Nt/N0) = -kt
Where Nt is the remaining amount of iodine-126, N0 is the initial amount, k is the rate constant, and t is the time.
In this case, Nt = 3.29 g, N0 = 26.3 g, and k is given by the equation:
k = ln(2)/t1/2
Where t1/2 is the half-life of iodine-126. Plugging in the values, we get:
t = - (1/k) * ln(Nt/N0)
Substituting Nt = 3.29 g, N0 = 26.3 g, and k = ln(2)/13 (since the half-life is 13 days), we can calculate the age of the sample.
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