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16 September, 07:46

The decay of a radioactive isotope follows first-order kinetics. Iodine-131, used to treat cancer of the thyroid gland, has a half-life of days. If g of iodine-131 is present in a sample initially, what mass of iodine-131 is present exactly hours later

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  1. 16 September, 08:10
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    Complete Question:

    Iodine-131 is a radioactive isotope with a half-life of 8 days. How many grams of a 64 g sample of iodine-131 will remain at the end of 24 days? (It's an example of a likely question. In the question given, the time is given in hours, which must be converted by days, 1 day = 24 hours).

    Answer:

    8 g.

    Explanation:

    The half-life is the time needed to the mass decay by half, thus, if the initial mass is M and the final mass is m:

    m = M/2ⁿ

    Where n is how much half-lives had passed, thus

    n = time / (half-life time)

    n = 24/8

    n = 3

    m = 64/2³

    m = 64/8

    m = 8 g
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