p43_067 - 67. The decay rate R is related to the number of...

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67. The decay rate R is related to the number of nuclei N by R = λN ,where λ is the disintegration constant. The disintegration constant is related to the half-life T 1 / 2 by λ =(ln2) /T 1 / 2 ,so N = R/λ = RT 1 / 2 / ln 2. Since 1 Ci = 3 . 7 × 10 10 disintegrations / s, N = (250 Ci)(3 . 7 × 10 10 s 1 / Ci)(2 . 7 d)(8 . 64 × 10 4 s / d) ln 2
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