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JEE Main2014ChemistryChemical KineticsActual

For the non-stoichiometry reaction, 2 A + B → C + D , the following kinetic data were obtained in three separate experiments, all at 298 K . Initial Concentration (A) Initial Concentration (B) Initial rate of formation of C mol L - S - 0.1 M 0.1 M 1.2 × 1 0 - 3 0.1 M 0.2 M 1.2 × 1 0 - 3 0.2 M 0.1 M 2.4 × 1 0 - 3 The rate law for the formation of C is

Options

  1. Adc dt = k A B
  2. Bdc dt = k A 2 B
  3. Cdc dt = k A B 2
  4. Ddc dt = k A

Correct answer

D. dc dt = k A

Step-by-step solution

Let x and y be the orders of the reaction with respect to the reactants A and B . Rate 1 = 1 . 2 × 10 - 3 = 0 . 1 x 0 . 1 y   . . . . . . . I Rate 2 = 1 . 2 × 10 - 3 = 0 . 1 x 0 . 2 y   . . . . . . . II Rate 3 = 2 . 4 × 10 - 3 = 0 . 2 x 0 . 1 y   . . . . . . . III II I = 2 y = 1 = 2 0   ∴   y = 0 III I ⇒ 2 1 = 2 x   ∴   x = 1 Rate = k · A 1

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