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5 January, 19:04

A fossilized leaf contains 15% 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. 5 January, 21:56
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    To determine the amount of substance left (At) in t years we use,

    At = (Ao) x e^-kt

    where Ao is the initial amount and k is the constant. Substituting the given half-life

    At / Ao = 0.5 = e^-k (5600)

    The value of k is 1.2377x10^-4

    Using the same equation,

    At / Ao = 0.15 = e^ - (1.2377x10^-4) (t)

    The value of t is 15327. Thus, the fossil is approximately 15327 years old.
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