The radioactive gas 222Rn decays by alpha particle emission with a half-life of
ID: 2304788 • Letter: T
Question
The radioactive gas 222Rn decays by alpha particle emission with a half-life of 3.82 days. It is produced naturally from the decay of Uranium, present in the ground and in stone, brick and concrete. Almost 10% of all New Jersey homes are believed to have radon levels >4picoCuries per liter of air. (Note 1 Curie = 3.7x1010 dps) If the average lung volume is 1000cm3 , how many alpha particles are absorbed each day by an average person in a home with a 4picoCurie/liter level of radon gas? State all assumptions used in your calculation.
Explanation / Answer
k = 1/(half life) = 1/3.8days
N= No * exp(-kt) = 4* (10^13) * exp(-30/3.8) = 1.49 * (10^11)
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