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Find the half-life of a radioactive element, if its activity decreases for 1 month by 20%.

Find the half-life of a radioactive element, if its activity decreases for 1 month by 20%.

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Answer #1

Initial activity of the radioactive element = N0

The activity of the radioactive element decreases by 20% in 1 month that is only 80% is left.

Activity of the radioactive element after 1 month = N = 0.8N0

Time period = 1 month

Half-life of the radioactive element = T1/2

Decay constant =

Taking natural log on both sides,

T1/2 = 3.106 months

Half-life of the radioactive element = 3.106 months

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