What fraction of radioactive nuclei decays in time t = T / 2?
| February 14, 2021 | education
The number of nuclei of a radioactive element is related to the half-life by the following relationship:
N = NO * 2 ^ -t / T;
Over a period of time equal to half the half-life, the fraction of nuclei remaining will be:
N / N0 = 2 ^ -0.5 = 0.707 = 70.7%;
The fraction of decayed nuclei will be:
100 – 70.7 = 29.3%.
Answer: in half the half-life, 29.3% of radioactive nuclei will decay.
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