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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Mathematics

Danielle Kline

30 January, 23:25

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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Deacon · Answer 1

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