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Question

The activity of a radioactive nuclide (X100) is 6.023 curie at a certain time t. If its disintegration constant is 3.7×104s1 the mass of X after t sec is:
  1. 6.022×106g
  2. 1015g
  3. 1013g
  4. 1017g


Solution

The correct option is B 1015g
Acitivity = λ × N
1C = 3.7 × 1010 Dps
threfore
6.203×3.7×1010=3.7×104× N
N=6.023×106
Number of moles = 6.023×1066.023×1023
Mass of X after time t= 6.023×1066.023×1023 ×100
                    =1015 g

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