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The given data are for the reaction 2 N O ( g ) + C l ( g ) → 2 N O C l ( g ) at 298 K [ C l 2 ] [NO] Initial rate (mol L - 1 s e c - 1 ) I 0.05 M 0.05 M 1 × 1 0 - 3 I I 0.15 M 0.05 M 3 × 1 0 - 3 I I I 0.05 M 0.15 M 9 × 1 0 - 3 The rate law of the reaction is

Options

  1. Arate = k [ N O ] [ C l 2 ]
  2. Brate = k [ C l 2 ] [ N O ] 2
  3. Crate = k [ C l 2 ] 2 [ N O ]
  4. Drate = k [ C l 2 ]

Correct answer

B. rate = k [ C l 2 ] [ N O ] 2

Step-by-step solution

1 × 1 0 - 3 = k [ 0.05 ] α [ 0.05 ] β …(i) 3 × 1 0 - 3 = k [ 0.15 ] α [ 0.05 ] β …(ii) 9 × 1 0 - 3 = k [ 0.05 ] α [ 0.15 ] β …(iii) From (i) and (ii), α = 1 and from (i) and (iii), β = 2 So rate = k [ N O ] 2 [ C l 2 ] 1 .

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