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Consider the following reactions in which all the reactants and the products are in gaseous state. 2PQ ⇌ P 2 + Q 2 ; K 1 = 3.6 × 1 0 5 PQ + 1 / 2 R 2 ⇌ PQR ; K 2 = 6 × 1 0 - 3 The value of K 3 for the equilibrium 1 / 2 P 2 + 1 / 2 Q 2 + 1 / 2 R 2 ⇌ PQR is

Options

  1. A3 × 1 0 3
  2. B6 × 1 0 3
  3. C1.0 × 1 0 - 5
  4. D5 × 1 0 - 3

Correct answer

C. 1.0 × 1 0 - 5

Step-by-step solution

Given , 2PQ ⇌ P 2 + Q 2 K 1 = P 2 Q 2 [ P Q ] 2 = 3.6 × 1 0 5 PQ + 1 / 2 R 2 ⇌ PQR ; K 2 = [ PQR ] PQ R 2 1 / 2 = 6 × 1 0 - 3 For the required equilibrium 1 / 2 P 2 + 1 / 2 Q 2 + 1 / 2 R 2 ⇌ PQR ; K 3 = [ PQR ] P 2 1 / 2 Q 2 1 / 2 R 2 1 / 2 K 3 = K 2 × 1 K 1 = 6 × 1 0 - 3 × 1 3.6 × 1 0 5 = 6 × 1 0 - 3 0.6 × 1 0 3 = 1 × 1 0 - 5

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