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9 June, 15:37

How long will it take to turn 27g of plutonium240 to 9 g

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  1. 9 June, 16:04
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    The half-life of Pu-240 is 6,561 years.

    Half life can be modeled by the function

    f (x) = P (0.5) ^x

    P is our starting amount.

    x is the number of half-lives required to equal f (x).

    f (x) is the amount left after x half-lives.

    9 = 27 (0.5) ^x

    1/3 = 0.5^x

    log (0.5) 1/3 = x

    x = 1.585

    6.561 years * 1.585 half-lives = 10,399.185 years.
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