Question Detail

CHM 101 CHM 101 Past Questions Objective Question

Question

A sample of 1 mol of N₂O₄ was placed in an empty 1 dm³ container and allowed to reach equilibrium according to the equation N₂O₄(g) ⇌ 2NO₂(g). At equilibrium, x mol of N₂O₄(g) had dissociated. What is the value of the equilibrium constant, Kc, at the temperature of the experiment?
Options
A 2x/(1-x)
B 4x/(1-x)
C 4x²/(1-x)
Correct Answer
D 2x²/(1-x)
Correct Answer

Option C is the correct answer.

Detailed Explanation

Initial [N₂O₄] = 1 M. At equilibrium: [N₂O₄] = (1-x) M, [NO₂] = 2x M. Kc = [NO₂]²/[N₂O₄] = (2x)²/(1-x) = 4x²/(1-x).

Hint

Set up an ICE table. Remember the volume is 1 L, so moles = concentration.

Question Info