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The Half-Life of the radioactive sample is 8.1 hours.
The half-life of a radioactive substance is the time taken for half the amount of atoms in the given substance to decay.
12.5 grams remains out of 100 grams of the sample.
This is 1/8 of the original samples.
1/8 of the original sample reperesent three half-lives undergone.
Half-Life of the radioactive sample = 24.3/3 = 8.1 hours
Therefore, the Half-Life of the radioactive sample is 8.1 hours.
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