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23 June, 17:47

The half life of hydrogen-3 is approximately 12 years. In how many years will half life of a 20 gram sample decay by beta radiation to helium-3?

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  1. 23 June, 18:00
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    First, you need to solve for the reaction constant k. Radioactive decay is a first order reaction. You will use this equation to solve for k.

    k = ln (2) / half-life = 0.639/12years = 0.05325

    Next, plug your values into the first order integrated rate law. The rate law has two common forms:

    ln (A]t / [A]0) = - kt and [A]t = [A]0 * e ^ (-kt)

    Your problem requires the use of the first equation.

    Rearrange the first equation so you get

    (-1/k) ln (A]t / [A]0) = t

    t = 35.6 years
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