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MHT CET202312 May 2023Morning ShiftChemistryChemical KineticsActual

Calculate the time needed for reactant to decompose 99.9 % if rate constant of first order reaction is 0.576 minute ⁻¹ .

Options

  1. A8 minutes
  2. B12 minutes
  3. C16 minutes
  4. D20 minutes

Correct answer

B. 12 minutes

Step-by-step solution

99.9 % of the reaction is complete. So, if [A]₀=100 , then [A]_ t =100-99.9=0.1 aligned t & = 2.303 k ₁₀ [ A ]₀ [ ~A ]₄ & = 2.303 0.576 ₁₀ 100 0.1 = 2.303 0.576 ₁₉(1000) & = 2.303 0.576 3 & =11.99 12 minutes aligned

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