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19 January, 06:32

the half-life of plutonium-239 is 24,110 years. How much of an original mass of 100.0 grams remains after 96,440 years?

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  1. 19 January, 07:01
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    6.25 g

    Explanation:

    Concept: Half life

    What is half life?

    Half life is the time taken by a radioactive substance to decay by half of its original mass.

    In this case;

    Half life of Plutonium-239 is 24,110 years

    Original mass of plutonium-239 is 100 g

    Time for the decay is 96,440 years

    We are required to calculate the remaining mass;

    Using the formula;

    Remaining mass = Original mass * 0.5^n

    where n is the number of half lives

    n = Time : Half life

    = 96,440 yrs : 24,110 years

    = 4

    Therefore;

    Remaining mass = 100 g * 0.5^4

    = 6.25 g

    Thus, the mass of plutonium-239 that will remain after 96,440 years will be 6.25 g
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