A freshly prepared sample of iodine-131

PHYSICS · Multi-part · A Level · Physics · Nuclear physics · Nuclear physics

Problem

A freshly prepared sample of iodine-131, used in medical diagnostics, has an initial activity of 4.0×108 Bq4.0\times10^{8}\,\text{Bq}. The half-life of iodine-131 is 8.04 days8.04\,\text{days}. Answer the following: (i) Calculate the decay constant of iodine-131 in s−1\text{s}^{-1}. (ii) Determine the activity of the sample after 24.0 days24.0\,\text{days}. (iii) How long (in days) will it take for the activity to fall to 1.0×107 Bq1.0\times10^{7}\,\text{Bq}?

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