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The equilibrium constants K_ P₁ and K_ P₂ for the reactions X 2 Y and Z P+Q , respectively are in the ratio of 1: 9 . If the degree of dissociation of X and Z be equal then the ratio of total pressure at these equilibria is

Options

  1. A1 : 36
  2. B1 : 1
  3. C1 : 3
  4. D1 : 9

Correct answer

A. 1 : 36

Step-by-step solution

aligned & X 2 Y & 10 & (1-x) 2 x & k_ p₁ = (2 x)^2 (1-x) ( P₁ 1+x )^1 & Z P+Q & 100 & (1-x) x x & k _ p ₂ = x ^2 (1- x ) ( P ₂ 1+ x )^1 & 4 P ₁ P ₂ = 1 9 P ₁ P ₂ = 1 36 & aligned

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