A radoactive sample of `^(238)U` decay to pb through a process for which the half is `4.5 xx 10^(9)` year Find the rate of number of nuclei of `pb to ^(238)U`after a time of `1.5 xx 10^(9)` year Given `(2)^(19)= 1.26`
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`a = initial Uranium atom` `(a - x) = Uranium atom left ` ( a - x) = a((1)/(2))^(n)` `and n = (1)/(t_(1//2)) = (1.5 xx 10^(9))/(4.5 xx 10^(9)) = (1)/(3)` `:. A - x = a (1)/(2)^(1//3)` `rArr (a)/(a- x) = (1)/((1//2)^(1//3)) = (2^(1//3))/(1) = 1.26` `rArr (x)/(a - x) = 1.26 - 1 = 0.26`
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