Suppose the gas phase isomerization reactions: A ⇌ B, A ⇌ C and B ⇌ C achieve equilibrium simultaneously, at a fixed temperature. The equilibrium mole fraction of 'A' in terms of equilibrium constants

Question

Suppose the gas phase isomerization reactions: A ⇌ B, A ⇌ C and B ⇌ C achieve equilibrium simultaneously, at a fixed temperature. The equilibrium mole fraction of 'A' in terms of equilibrium constants, K₁, K₂ and K₃ (respectively), is

Prashant Kotian · Accepted Answer

Correct answer: B. For A ⇌ B, [B]/[A] = K₁. For A ⇌ C, [C]/[A] = K₂. The mole fraction of A = [A] / ([A] + [B] + [C]). Substituting B and C gives [A] / ([A] + K₁[A] + K₂[A]) = 1 / (1 + K₁ + K₂). Therefore, correct answer is B.

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