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The equilibrium constant for the reaction SO 3 g ⇌ SO 2 g + 1 2 O 2 g   is K c = 4 · 9 × 10 - 2 . The value of K C for the reaction 2 SO 2 g + O 2 g ⇌ 2 SO 3 g   will be -

Options

  1. A2 · 4 0 × 1 0 - 3
  2. B9 · 8 × 1 0 - 2
  3. C416
  4. D4 · 9 × 1 0 - 2

Correct answer

C. 416

Step-by-step solution

SO 3 g ⇌ SO 2 g + 1 / 2 O 2 g SO 2 O 2 1 / 2 SO 3 = K c = 4 · 9 × 10 - 2 SO 2 g + 1 2 O 2 g ⇌ SO 3 g SO 3 SO 3 O 2 1 / 2 = K c ' = 1 4 · 9 × 10 - 2 For         2 SO 2 g + O 2 g ⇌ 2 SO 3 g SO 3 2 SO 2 2 O 2 = K c ' 2 = 1 4 · 9 × 4 · 9 × 10 - 4                               = 1 0 0 0 0 2 4 · 0 1 = 4 1 6 · 4

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