For the reaction: N₂O₄(g) ⇌ 2NO₂(g), the relation between the degree of dissociation, α, of N₂O₄(g) — Chemical Equilibrium Chemistry Question
Question
For the reaction: N₂O₄(g) ⇌ 2NO₂(g), the relation between the degree of dissociation, α, of N₂O₄(g) at pressure, P, with its equilibrium constant K_p is
Answer: C
💡 Solution & Explanation
The equilibrium constant K_p is related to degree of dissociation by K_p = 4α²P / (1-α²). Rearranging for α gives K_p - K_p α² = 4α²P => α²(4P + K_p) = K_p. So α² = K_p / (4P + K_p). Dividing numerator and denominator by P gives α = [(K_p/P) / (4 + K_p/P)]^(1/2). Therefore, correct answer is C.
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