A certain gas 'A' polymerizes to a very small extent at a given temperature as: nA(g) ⇌ A_n(g). The — Chemical Equilibrium Chemistry Question

💡 Solution & Explanation

Let α be the degree of association. Eq moles: A = 1-α, A_n = α/n. Total moles = 1 - α(n-1)/n. Since α is very small, 1-α ≈ 1. K_c = [A_n] / [A]ⁿ = (α/n V) / (1/V)ⁿ = α Vⁿ⁻¹ / n. So α = n K_c / Vⁿ⁻¹. Using PV = n_total RT, PV/RT = 1 - α(n-1)/n. Substituting α gives PV/RT = 1 - (n-1)K_c / Vⁿ⁻¹. Therefore, correct answer is A.