The half life of radium 1640 years and its atomic weight is 227 kg per kilo mol. The number of atom’s that will decay from its 1 gm sample per minute will be
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a
3.11×1015
b
2.133×1012
c
3.6×1012
d
3.61×1015
answer is B.
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Detailed Solution
Rate of Decay, dNdt=λN where λ=0.6931t1/2=0.69311640×365×24×60 and N=mM×NA=1227×6.023×1023 Hence, dNdt=0.6931×6.023×10231640×365×24×60×227=2.1334×1012 per min