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MHT CET2008ChemistryChemical Kinetics

A radioactive isotope having t_ 1 / 2 =3 days was read after 12 days. If 3 g of isotope is contained in container, the initial weight of isotope was

Options

  1. A12 ~g
  2. B24 ~g
  3. C36 ~g
  4. D48 ~g

Correct answer

D. 48 ~g

Step-by-step solution

aligned T &=n t_ 1 / 2 12 &=n 3 n &=4 N &=N₀ ( 1 2 )^ n 3 &=N₀ ( 1 2 )⁴ 3 &=N₀ 1 16 N₀ &=16 3=48 ~g aligned

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