Half-Life Calculus Problem
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Half-Life Calculus Problem

[From: ] [author: ] [Date: 11-08-31] [Hit: ]
07 / log 0.5 = 103.......
The half-life of radioactive strontium-90 is approximately 27 years. In 1961, radioactive strontium-90 was released into the atmosphere during testing of nuclear weapons, and was absorbed into people's bones. How many years does it take until only 7 percent of the original amount absorbed remains?
time = _________ years
Thank you!

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fraction remaining, f = 0.5^(t/h) , where h is the half-life

0.07 = 0.5^(t/27)

(t/27)*log 0.5 = log 0.07

t = 27*log 0.07 / log 0.5 = 103.59 ≈ 104 years <-------
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