The equilibrium constant for the reaction: N₂(g) + O₂(g) ⇌ 2NO(g) is K₁ and the equilibrium constant for the reaction: NO(g) ⇌ 1/2 N₂(g) + 1/2 O₂(g) is K₂, both at the same temperature. K₁ and K₂ are

Question

The equilibrium constant for the reaction: N₂(g) + O₂(g) ⇌ 2NO(g) is K₁ and the equilibrium constant for the reaction: NO(g) ⇌ 1/2 N₂(g) + 1/2 O₂(g) is K₂, both at the same temperature. K₁ and K₂ are related as

Prashant Kotian · Accepted Answer

Correct answer: A. The second reaction is the reverse of the first reaction, divided by 2. Therefore, K₂ = (1/K₁)^(1/2). Squaring both sides yields K₂² = 1/K₁, or K₁ = 1/K₂² = (1/K₂)². Therefore, correct answer is A.

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