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JEE Main20258 Apr 2025Evening ShiftChemistryChemical KineticsActual

In a first order decomposition reaction, the time taken for the decomposition of reactant to one fourth and one eighth of its initial concentration are t₁ and t₂(s) , respectively. The ratio t₁ / t₂ will :

Options

  1. A4 3
  2. B3 2
  3. C3 4
  4. D2 3

Correct answer

D. 2 3

Step-by-step solution

For I ^ st order reaction When C _ t = Co / 4 aligned & t ₁=2 t _ 50 % . & when C _ t = Co / 8 & t ₂=3 t _ 50 % & so t ₁ t ₂ = 2 3 aligned

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