For 8 days, the activity of the radioactive element decreased by 4 times. What is the half-life of this element?
| April 19, 2021 | education
Let us denote the time t = 8 days, the decrease in the activity of the radioactive element N0 / N = 4.
Using the formula, we calculate the half-life of the original element.
N = N0 * 2 ^ (- t / T).
N / N0 = 2 ^ (- t / T).
N0 / N = 2 ^ (t / T).
Substitute the value N0 / N = 4.
4 = 2 ^ (t / T).
2 ^ 2 = 2 ^ (t / T).
2 = t / T.
T = t / 2.
Substitute the value t = 8 days.
T = 8 days / 2.
T = 4 days.
Answer: the half-life of an element is 4 days.
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