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COMEDK2023Evening ShiftChemistryChemical EquilibriumActual

The equilibrium constants for the reactions a, b , and c are as given: a) N ₂+3 H ₂=2 NH ₃: K ₁ b) N ₂+ O ₂=2 NO : K ₂ c) 2 H ₂+ O ₂=2 H ₂ O : K ₃ What would be the Equilibrium constant for the reaction: 4 NH ₃+5 O ₂=4 NO +6 H ₂ O ; K _ x

Options

  1. AK _ x = K ₁ ^2 / K ₂ ~K ₃ ^3
  2. BK _ x = K ₁ / K ₂ ~K ₃
  3. CK _ x = K ₂ ^2 ~K ₃ ^3 / K ₁ ^2
  4. DK _ x =1 / K ₁ ^2+ K ₂ ^2+ K ₃ ^3

Correct answer

C. K _ x = K ₂ ^2 ~K ₃ ^3 / K ₁ ^2

Step-by-step solution

The given reactions are: a) N ₂ + 3 H ₂ 2 NH ₃ with equilibrium constant K ₁ b) N ₂ + O ₂ 2 NO with equilibrium constant K ₂ c) 2 H ₂ + O ₂ 2 H ₂ O with equilibrium constant K ₃ The target reaction is 4 NH ₃ + 5 O ₂ 4 NO + 6 H ₂ O . To obtain the target reaction, we manipulate the given equations: 1. Reverse reaction (a) and multiply by 2: 4 NH ₃ 2 N ₂ + 6 H ₂ . The equilibrium constant becomes ( 1 K ₁ )^2 = 1 K ₁^2 . 2. Keep reaction (b) as is and multiply by 2: 2 N ₂ + 2 O ₂ 4 NO . The equilibrium constant become

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