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NTA Abhyas NEET2020ChemistryChemical EquilibriumPractice

The equilibrium constant for the decomposition of water, H 2 O ( g ) ⇌ H 2 ( g ) + 1 2 O 2 ( g ) is given by

Options

  1. AK = α 3 p 1 / 2 ( 1 - α ) ( 2 - α ) 1 / 2
  2. BK = α 3 / 2 p 1 / 2 ( 1 - α ) ( 2 + α ) 1 / 2
  3. CK = α 3 p 1 / 2 2
  4. DK = α 3 p 3 / 2 ( 1 - α ) ( 2 + α ) 1 / 2

Correct answer

B. K = α 3 / 2 p 1 / 2 ( 1 - α ) ( 2 + α ) 1 / 2

Step-by-step solution

t e q H 2 O ( g ) 1 - α ⇌ H 2 ( g ) α + 1 2 O 2 ( g ) α 2 Δ n g = 3 2 - 1 = 1 2 K P = n H 2 × n O 2 1 / 2 n H 2 O × P Σ n Δ n g = α × α 2 1 / 2 ( 1 - α ) × P 1 + α / 2 1 / 2 = α 3 / 2 P 1 / 2 ( 1 - α ) ( 2 + α ) 1 / 2

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