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The reaction of ozone with oxygen atoms in the presence of chlorine atoms can occur by a two step process shown below: O 3 g + Cl • → O 2 g + ClO • g ...(i) k i = 5.2 × 10 9 L m o l - 1 s - 1 ClO • g + O • g → O 2 g + Cl • g ...(ii) k i i = 2.6 × 10 10 L m o l - 1 s - 1 The closest rate constant for the overall reaction O 3 g + O • g → 2 O 2 g is:

Options

  1. A1.4 × 10 20 L m o l - 1 s - 1
  2. B3.1 × 10 10 L m o l - 1 s - 1
  3. C5.2 × 10 9 L m o l - 1 s - 1
  4. D2.6 × 10 10 L m o l - 1 s - 1

Correct answer

A. 1.4 × 10 20 L m o l - 1 s - 1

Step-by-step solution

O 3 g + Cl g • → O 2 g + ClO s • K i ClO g • + O g • → O 2 g + Cl g • K ii _________________________________ O 3 g + O g • → 20 2 g K Rate = K i × K ii Overall Rate constant = K i × K ii = 5.2 × 10 9 × 2.6 × 10 10 ≈ 1.4 × 10 20 mol -1 L s -1

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