Final answer:
The equilibrium constant (Keq) for the reaction is calculated using an ICE table. By tracking the concentration changes from initial to equilibrium, we find that Keq equals 0.80.
Step-by-step explanation:
To determine the equilibrium constant (Keq) for the reaction 2 AB (g) + C2D (s) ↔ A2D (g) + 2 CB (s), we use an ICE table (Initial, Change, Equilibrium) to track the changes in concentration from beginning to equilibrium.
ICE Table Calculation
We start with the initial concentrations:
[AB] = 0.30 M (before mixing)
[A2D] = 0.30 M (before mixing)
At equilibrium, we have:
[A2D] = 0.20 M
Since 2 moles of AB react to form 1 mole of A2D, the change in [AB] should be twice the change in [A2D]. For AB, the change is -0.10 M (because 0.10 M of A2D is formed), leaving us with 0.20 M of AB at equilibrium.
The reaction quotient, Q, is expressed as Q = [A2D] / ([AB]^2) since C2D and CB are solids and do not appear in the expression.
Substituting the equilibrium concentrations into the Q expression gives us Keq:
Keq = [0.20] / ([0.20]^2) = 0.80
Therefore, the equilibrium constant for the reaction is 0.80.