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Q.

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
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