A certain gas 'A' polymerizes to a very small extent at a given temperature as: nA(g) ⇌ A_n(g). The reaction is started with one mole of 'A' in a container of capacity V. Which of the following is cor

Question

A certain gas 'A' polymerizes to a very small extent at a given temperature as: nA(g) ⇌ A_n(g). The reaction is started with one mole of 'A' in a container of capacity V. Which of the following is correct value of PV/RT, at equilibrium?

Prashant Kotian · Accepted Answer

Correct answer: A. 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.

💡 Solution & Explanation

Practice 22,000+ questions like this