07-12-2016
Chemistry

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A 24-gram sample of a radioactive nuclide decayed to 3.0 grams of the nuclide in 36 minutes. How much of the original nuclide sample remained after the first 12 minutes?

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bartdrinksmalk bartdrinksmalk

07-12-2016

The sample decreased to [tex]\frac{1}{8}[/tex] of its original size, so it underwent [tex]\log_{2} 8=3[/tex] half-lives.

One half life is then
[tex]\frac{36\ min}{3}=12\ min[/tex]

One-half of 24 grams is 12 grams, so 12 grams remained after the first 12 minutes.

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