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4 December, 22:54

What would the percentage of thorium-232 (parent compound) be in a rock that was dated at 2.8 billions years?

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  1. 5 December, 02:30
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    The half-life of Th-232 is 1.405 * 10¹⁰ years

    Time elapsed = 2.8 x 10⁹ years

    Equation of radioactive decay:

    A = A₀ = (1/2) ^ t/t₁/₂

    where A₀ is the initial amount, A is the amount after time t, t₁/₂ is the half file

    The fraction of thorium-232 that remains in the rock after 2.8 billions years is,

    A/A₀ = (1/2) ^ (2.8 x 10⁹ / 1.405 * 10¹⁰) = 0.871

    Therefore, the percentage of thorium-232 in the rock that was dated at 2.8 billions year = 87.1%
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