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The half-life of " "_(92)^(238)U undergoing alpha-decay is 4.5 xx 10^(9) years. Find the activity of 1 g sample of " "_(92)^(238)U. |
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Answer» Solution :It is given that `T_(1/2) =4.5xx 10^(9) y =4.5 xx 10^(9) xx 3.154 xx 10^(7)s =1.42xx 10^(17)s` Number of atoms (or nuclides) of `" "_(92)^(238)U` PRESENT in 1 G sample `N= 1/238xxN_(A) = 1/238xx 6.023 xx 10^(23) = 2.53 xx 10^(20)` Activity of the sample `R=lambdaN= 0.693/T_(1/2)N = (9.693 xx 2.93 xx10^(20))/(1.42xx10^(7))=1.23 xx 10^(4)s^(-1) = 1.23 xx 10^(4) Bq` |
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