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What is the half-life of a 200.0g sample of nitrogen-16 that decays to 12.5g of nitrogen-16 in 48s?
Wiki User
∙ 12y ago
12.5g is 1/16th of 200g. The half-life decay series is 1/2, 1/4, 1/8, 1/16, etc. so four half-lives of nitrogen-16 must have elapsed on 48s, making one half-life 12 seconds.
This is inconsistent with the NNDC known data on nitrogen-16, which has its half-life at 7.13 seconds. Perhaps this was the result of an experiment? Perhaps the question was "made up" with invalid data?
Wiki User
∙ 12y ago
To find the half-life, we need to determine the time it takes for half of the sample to decay. In this case, the initial mass is 200.0g and the final mass is 12.5g. Starting with 200.0g, after one half-life it would be reduced to 100.0g. After two half-lives, it would be reduced to 50.0g. Since it took 48s to go from 200.0g to 12.5g, we can estimate that it would take approximately 96s (2 half-lives) for the sample to go from 200.0g to 50.0g. Therefore, the half-life is approximately 48s.
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