High School

Nuclear decay occurs according to first-order kinetics. How long will it take for a sample of radon-218 to decay from 99 grams to 0.50 grams? The half-life of radon-218 is 35 milliseconds.

Answer :

In 2.6*10² ms, a sample of radon-218 will deteriorate from 99 grams to 0.50 grams. The half-life of radon-218 is 35 milliseconds.

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Briefing:

t = 2.303/R log A₀/A

Hence, R = 0.693/t/2

t = 2.303/0.693*35 log 99/0.5

t = 267ms

= 2.6*10² ms

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