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JEE Advanced2008ChemistryChemical KineticsActual

Under the same reaction conditions, initial concentration of 1.386 ~mol dm ⁻³ of a substance becomes half in 40 s and 20 s through first-order and zero-order kinetics, respectively. Ratio ( k₁ k₀ ) of the rate constants for first order (k₁ ) and zero order (k₀ ) of the reaction is

Options

  1. A0.5 ~mol ⁻¹ dm ^3
  2. B1.0 ~mol dm ^3
  3. C1.5 ~mol dm ^3
  4. D2.0 ~mol ⁻¹ dm ^3

Correct answer

A. 0.5 ~mol ⁻¹ dm ^3

Step-by-step solution

First order kinetics, k₁= 0.693 t_ 1 / 2 = 0.693 40 ~s ⁻¹ Zero order kinetics, k₁= C₀ 2 t_ 1 / 2 = 1.386 2 20 Hence, k₁ k₀ = 0.693 1.386 =0.5

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