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22 August, 18:05

An ancient rock sample has 2 pg/kg of a radioactive isotope. Modern formations of this type of rock have 64 pg/kg of this same isotope. If the half-life of this isotope is 30 million years how old is the ancient rock sample

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  1. 22 August, 18:08
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    180 million years

    Explanation:

    Data provided in the question:

    Rock sample has 2 pg/kg of a radioactive isotope

    Isotope of the modern rock formed = 64 pg/kg

    Half life of the isotope = 30 million years

    Now,

    From 128ug/kg to 2 ug/kg,

    Number of half-lives elapsed = 6

    Therefore,

    The Age of the rock sample

    = Half life of the isotope * Number of half-lives elapsed

    = 30 million years * 6

    = 180 million years
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