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KCET2009ChemistryChemical Kinetics

For a chemical reaction A B , the rate of the reaction is 2 10⁻³ ~mol dm ⁻³ ~s ⁻¹ , when the initial concentration is 0.05 ~mol dm ⁻³ . The rate of the same reaction is 1.6 10⁻² ~mol dm ⁻³ ~s ⁻¹ when the initial concentration is 0.1 ~mol dm ⁻³ . The order of the reaction is

Options

  1. A2
  2. B0
  3. C3
  4. D1

Correct answer

C. 3

Step-by-step solution

A B Rate =k[A]^ n ( Rate )₁= k (0.05)^ n =2 10⁻³ ...(i) ( Rate )₂= k (0.1)^ n =1.6 10⁻² ...(ii) Dividing the Eq. (ii) by Eq. (i). gathered ( Rate )₂ ( Rate )₁ = k (0.1)^ n k (0.05)^ n = 1.6 10⁻² 2 10⁻³ (2)^ n =8 or (2)^ n =2³ n =3 gathered

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