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At 400 ~K , in a 1.0 ~L vessel, N ₂ O ₄ is allowed to attain equilibrium, N ₂ O ₄( ~g ) 2 NO ₂( ~g ) At equilibrium, the total pressure is 600 ~mm Hg , when 20 % of N ₂ O ₄ is dissociated. The value of K_n for the reaction is

Options

  1. A50
  2. B100
  3. C150
  4. D200

Correct answer

B. 100

Step-by-step solution

array lcc & N ₂ O ₄ 2 NO ₂ Initial moles & 1 & 0 At equilibrium & (1-0.2) & 2 0.2=0.8 Total moles =0.4+0.8=12 array K_P= (P_ NO ₂ )^2 (P_ N ₂ O ₄ ) K_P= ( 0.4 1.2 600 )^2 ( 0.8 1.2 600 ) =100

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