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26 January, 08:27

A 100 gram sample of radium-226 has a half life of 1,600 years. how long will it take before before there are only 12.5 grams of the radioactive radium-226 remaining

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  1. 26 January, 09:32
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    Radioactivity is studied very well by scientists that they have established a pseudo-first order reaction for this process. The working equation for this problem is:

    h = ln 2/k

    where

    h is the half-life

    k is the reaction constant

    1600 = ln2/k

    k = 4.33*10⁻⁴/yr

    Then, we use

    A = A₀e^ (-kt)

    A is the amount left after time t

    A₀ is the original amount

    t is the time

    12.5 = 100e (-4.33*10⁻⁴*t)

    t = 4,800 years
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