Question #195134

A mad scientist has been apprehended in their secret laboratory in some remote woods. The place is severely contaminated with polonium-210 which has a half-life of 138.4 days. A geiger counter used on scene shows 140 decays per second. 2 decays per second would be considered safe / equivalent to background radiation. How long until the site is safe?


1
Expert's answer
2021-05-19T11:04:15-0400
A(t)=A02tt0.52=1402t138.4t=848.3 daysA(t)=A_0\cdot2^{-\frac{t}{t_{0.5}}}\\2=140\cdot2^{-\frac{t}{138.4}}\\t=848.3\ days


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