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18 May, 21:42

A radioactive isotope of the element potassium decays to produce argon. If the ratio of argon to potassium is found to be 31:1, how many half-lives have occurred?

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  1. 19 May, 01:17
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    Argon to potassium ratio after 1 half life = 1:1

    After 2 half lives = 75/25 = 3:1

    After 3 half lives = 87.5/12.5 = 7:1

    After 4 half lives = 93.75/6.25 = 15:1

    After 5 half lives = 96.875/3.125 = 31/1
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