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MHT CET202411 May 2024Evening ShiftChemistryChemical KineticsActual

What is the time needed to reduce the initial concentration of reactant to 10 % in a first order reaction if its half life time is 10 minutes?

Options

  1. A15 minute
  2. B20 minute
  3. C25 minute
  4. D33 minute

Correct answer

D. 33 minute

Step-by-step solution

aligned k & = 0.693 t _ 1 / 2 ; k = 0.693 10 ~min =0.0693 ~min ⁻¹ t & = 2.303 k ₁₀ [ ~A ]₀ [ ~A ]_ t t & = 2.303 0.0693 ~min ⁻¹ ₁₀ 100 10 = 2.303 0.0693 ~min ⁻¹ 1 t & =33 minute aligned

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