Answer:
12.5
Explanation:
Step 1: Write the balanced equation
2 NO₂(g) ⇄ N₂O₄(g)
Since the reaction takes place in a 1.00 L vessel, the initial concentration of NO₂ is 0.0300 M and the concentration at equilibrium of N₂O₄ is 0.00500 M.
Step 2: Make an ICE chart
2 NO₂(g) ⇄ N₂O₄(g)
I 0.0300 0
C -2x +x
E 0.0300-2x x
Step 3: Find the value of x
Since [N₂O₄]eq = 0.00500 M, x = 0.00500
Step 4: Calculate the concentrations at equilibrium
[NO₂] = 0.0300-2(0.00500) = 0.0200 M
[N₂O₄] = 0.00500 M
Step 5: Calculate the concentration equilibrium constant (Kc)
Kc = [N₂O₄]/[NO₂]²
Kc = 0.00500/0.0200²
Kc = 12.5