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Question

Let's take a hypothetical radioactive nuclide sample of 80X.
It weighs 80 gm. Find the number of active nuclei remaining after a time of 0.5 second. Given its decay constant is 2 s1
  1.  x e


Solution

The correct option is A
Let's see what all is given to us.
Nuclide sample of 80X weighing 80 gm.
Time elapsed 0.5 sec
Decay constant λ = 2s1
 What is being asked is the number of active nuclei left after given time duration.
N=N0 eλt
I dunno N0 . Can I find N0 from what is given.
 
Yes!!!
80 gm of 80X nuclide
Means a mole of it.
Means the sample has 6.023×1023  Nucleus to begin with.
Let's put things together.
N=6.023×1023×e0.5×2N=6.023×1023/e

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