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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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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?

User Sekrett
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The sample decreased to
(1)/(8) of its original size, so it underwent
\log_(2) 8=3 half-lives.

One half life is then

(36\ min)/(3)=12\ min

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