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23 October, 11:39

Iodine-131, a beta emitter, has a half-life of 8 days. a 8-gram sample of initially pure iodine-131 is stored for 32 days. how much iodine-131 remains in the sample afterward?

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  1. 23 October, 12:11
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    The answer is a 1/2 gram or 0.5 grams. After 8 days, there will be 4 grams. After 16 days, there will be 2 grams. After 24 days, there will be 1 gram. And after 32 days, there will be a 1/2 gram or 0.5 grams. The formula is

    (1/2) ^n = fraction remaining

    where n is the number of half-lives.

    In this case, n=4, since 32/8=4.

    The formula gives us

    (1/2) ^4=1/16

    1/16 of 8 grams (the starting amount) is 1/2 gram or 0.5 grams
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