For the non-stoichiometry reaction, 2 A + B → C + D , the following kinetic data were obtained in…

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 
  1. dc dt = k A B
  2. dc dt = k A 2 B
  3. dc dt = k A B 2
  4. dc dt = k A

Solution

Let x and y be the orders of the reaction with respect to the reactants A and B.

Rate1=1.2×10-3=0.1x0.1y .......IRate2=1.2×10-3=0.1x0.2y .......IIRate3=2.4×10-3=0.2x0.1y .......III


III=2y=1=20  ∴  y=0

III I ⇒ 2 1 = 2 x   ∴   x = 1

Rate = k · A 1

Asked in: JEE Main 2014 (06 Apr)

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