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5 July, 03:05

An animal skeleton has a carbon-14 decay rate of 13.1 disintegrations per minute per gram of carbon. When did the animal die? (Assume that living organisms have a carbon-14 decay rate of 15.3 disintegrations per minute per gram and that carbon-14 has a half-life of 5730yrs.)

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  1. 5 July, 03:33
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    1034 yrs

    Explanation:

    The equation to use in this question is:

    t = - 2.303/k log (A/A₀) where

    A = present number of disintegrations

    A₀ = intial number of disintegrations

    k = decay constant

    The decay constant we will obtain it from the given hal-life:

    k: 0.693/t₁/₂, t₁/₂ = half-life ⇒

    k: 0.693 / 5730 y = 1.209 x 10⁻⁴ / y⁻¹

    t = - 2.303 / 1.209 x 10⁻⁴ / y⁻¹ x log (13.1/15.3) = 1034 yrs
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