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Jenny12

  • 5 years ago

Iodine-131 has a half life of about 8 days. About how much is left from a 100 gram sample after 16 days?

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  1. anonymous
    • 5 years ago
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    \[x/100 = (1/2)^{16/8}\] x/100 = (1/2)^2 x/100 = 1/4 x = 25

  2. Jenny12
    • 5 years ago
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    Thank you.

  3. anonymous
    • 5 years ago
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    you're welcome

  4. anonymous
    • 5 years ago
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    There are 2 half-lives involved here. The first half life will cut the sample down to 50g. The second half life will cut it down to 25 grams. It is half of what was left at each half-life period. Hope this helps. I had to do one of these equations in my Calc 3 class.

  5. Jenny12
    • 5 years ago
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    So would that be 25 left?

  6. anonymous
    • 5 years ago
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    Yes. If you had a 24 minute period, then you would have 12.5g left, and so on.

  7. Jenny12
    • 5 years ago
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    K, thank you.

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