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16 February, 07:11

The function Q (t) = Qe^-kt may be used to model radioactive decay. Q represents the quantity remaining after t years; k is the decay constant, 0.00011. How long, in years, will it take for a quantity of plutonium-240 to decay to 25% of it's original amount?

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  1. 16 February, 07:17
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    It will take 12602.68 years.

    Solution:

    Q (t) = Qe^-kt

    Q (t) = 0.25Q

    0.25Q=Qe^-0.00011t

    ln 0.25=-0.00011t

    t = (ln 0.25) / - 0.00011 = 12602.67601
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