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JEE Main20199 Jan 2019Evening ShiftChemistryChemical KineticsActual

For the reaction, 2 A + B → products, when the concentration of A and B both were doubled, the rate of the reaction increased from 0.3 m o l L - 1 s - 1 to 2.4 m o l L - 1 s - 1 . When the concentration of A alone is doubled, the rate increased from 0.3 m o l L - 1 s - 1 to 0.6 m o l L - 1 s - 1 . Which one of the following statements is correct?

Options

  1. AOrder of the reaction with respect to B is 2
  2. BTotal order of the reaction is 4
  3. COrder of the reaction with respect to A is 2
  4. DOrder of the reaction with respect to B is 1

Correct answer

A. Order of the reaction with respect to B is 2

Step-by-step solution

2 A + B → C Initial r 1 = k A x B y = 0.3   m / s e c ...(i) r 2 = k 2 A x 2 B y = 2.4 ...(ii) r 3 = k 2 A x B y = 0.6 ...(iii) From (i) ÷ (iii) 1 2 x 1 y = 0.3 0.6 1 2 x = 1 2 x = 1 (ii) ÷ (iii) r 2 r 3 = 2.4 0.6 = 2 y 4 = 2 y y = 2 The order of reaction w.r.t. A = 1 and w.r.t. B = 2 Total order of reaction = 1 + 2 = 3

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