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13 October, 20:16

Radium 226, which had been used for cancer treatment, decays with half-life of 1622 years. Suppose there is 2.3gram sample of Raduim 226. How long will it take to have 1.7 grams remaining?

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  1. 13 October, 20:30
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    1/2=k^1622

    k = (1/2) ^ (1/1622)

    1.7=2.3 (1/2) ^ (t/1622)

    (1.7/2.3) = (1/2) ^ (t/1622)

    ln (1.7/2.3) / ln (1/2) = t/1622

    t=1622 (ln (1.7/2.3)) / ln (1/2)

    t≈707.35
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