Question

question 5 (4 points)
which of the following expressions is the correct equilibrium constant expression for the equilibrium between dinitrogen tetraoxide and nitrogen dioxide?
n₂o₄(g) ⇌ 2no₂(g)
a) no₂ / n₂o₄²
b) no₂n₂o₄
c) no₂² / n₂o₄

Explanation:

Step1: Recall Equilibrium Constant Formula

The equilibrium constant \( K_c \) for a reaction \( aA + bB
ightleftharpoons cC + dD \) is given by \( K_c=\frac{[C]^c[D]^d}{[A]^a[B]^b} \), where the concentrations are of the products over reactants, each raised to their stoichiometric coefficients.

Step2: Apply to Given Reaction

For the reaction \( \ce{N2O4(g)
ightleftharpoons 2NO2(g)} \), the reactant is \( \ce{N2O4} \) with stoichiometric coefficient 1, and the product is \( \ce{NO2} \) with stoichiometric coefficient 2. Using the formula, \( K_c = \frac{[\ce{NO2}]^2}{[\ce{N2O4}]} \).

Answer:

c) \([NO_2]^2 / [N_2O_4]\)