SOLUTION: If 250 mg of a radioactive element decays to 230 mg in 12 hours, find the half-life of the element. (Round your answer to the nearest whole number.)
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Question 1026381: If 250 mg of a radioactive element decays to 230 mg in 12 hours, find the half-life of the element. (Round your answer to the nearest whole number.)
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Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
For exponential decay/growth the basic model is .
After 12 hours, the equation becomes
==> ==> ln0.92 = 12r, or .
==> , or
.
To find the half-life set P=125 (half of 250.)
==> .
==> ==>
==> t = 99.8, or 100 hours, rounded off to the nearest whole number.
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