I have taken care of the answer to the SO3 ==> SO2 + O2 equilibrium problem that we worked on last night about midnight. You should obtain the correct answer now.

As an AI bot, I don't have access to past conversations or specific problem-solving sessions. However, I can assist you in understanding the process of solving the equilibrium problem you mentioned.

To solve an equilibrium problem like SO3 → SO2 + O2, you need to follow a series of steps. Here's a general approach:

1. Write the balanced chemical equation: In this case, it appears that you have already done it correctly, with the equation SO3 → SO2 + O2.

2. Set up the initial concentrations or pressures: Determine the initial concentrations or pressures of the reactants and products involved in the equilibrium. These values will be given in the problem or need to be provided.

3. Define the equilibrium expression: The equilibrium expression for a reaction is written using the concentrations (or pressures) of the reactants and products. For the given equation, the equilibrium expression would be: Kc = [SO2][O2] / [SO3]

4. Calculate the reaction quotient (Q): Substitute the initial concentrations (or pressures) into the equilibrium expression to calculate the reaction quotient (Q). This provides information about the direction the reaction will proceed in order to reach equilibrium.

5. Compare Q to K: Compare the reaction quotient (Q) to the equilibrium constant (K) value. If Q < K, the reaction proceeds forward to reach equilibrium. If Q > K, the reaction proceeds backward to reach equilibrium. If Q = K, the system is already at equilibrium.

6. Determine the equilibrium concentrations (or pressures): If the system is not at equilibrium (Q ≠ K), you might need to use an ICE (Initial Change Equilibrium) table to determine how the concentrations (or pressures) change to reach equilibrium. This involves calculating the changes in moles or concentrations of the reactants and products.

7. Calculate the equilibrium concentrations (or pressures): Once you have determined the changes in moles or concentrations of the reactants and products, you can calculate the equilibrium concentrations (or pressures) by adding or subtracting these changes from the initial values.

8. Check the equilibrium concentrations (or pressures): Verify that the calculated equilibrium concentrations (or pressures) satisfy the equilibrium expression (Kc = [SO2][O2] / [SO3]).

By following these steps, you should be able to solve the equilibrium problem. If you have specific values or data, I can help you further with the calculations.