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12 February, 04:49

A fossilized leaf contains 24% of its normal amount of carbon 14. how old is the fossil (to the nearest year) ? use 5600 years as the half-life of carbon 14.

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  1. 12 February, 07:06
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    The Half life is the time taken for a radioisotope or a radioactive substance to decay by half its original amount. The half life of carbon 14 is 5600 years.

    Original mass is 100%

    Remaining amount is 24%

    Therefore; 0.24 = 1 * (1/2) ^n

    n = log 0.24/log 0.5

    = 2.06

    therefore, the age of the fossil is 5600*2.06

    = 11529.8

    ≈ 11529 years
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