1.

The radioactivity of a uranium specimen with mass number 238 is 2.5 xx10^(4)s^(-1), the specimen's mass is 2.0 g. Find the half-life.

Answer»


SOLUTION :Knowing the activity `Q=lamdaN` and noting that `lamda=(LN2)/T=(0.693)/T`, we find the half-life T = 0.693N/Q. The number of NUCLEI is `N=mN_(A)//A`, where m is the mass of the specimen, A is the mass number of the isotope and `N_(A)` is the Avogadro number. Finally `T=0.693mN_(A)//AQ`.


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