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The half life of radium is 1620 years and its atomic weight is 226 kg per kilo mol. The number of atoms that will decay from its 1 gm sample per second will be 

a
3.61 x 1010
b
3.6 x 1012
c
3.11 x 1015
d
31.1 x 1015

detailed solution

Correct option is A

dNdt=λN;λ=0.6931t12=0.69311620 x 365 x 24 x 60 x 60, N=6.023 x 1023226∴dNdt=0.6931 x 6.023 x 10231620 x 365 x 24 x 60 x 60 x 226            =3.61 x 1010 (Avagadro's number N=6.02 x 1026 atom/kilomol)

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