To determine the equilibrium constant Kc for the given reaction, we need to use the equilibrium concentrations of the reactants and products. The general expression for Kc for this reaction is:Kc = [SO3]^2 / [SO2]^2 * [O2] Given the equilibrium concentrations of SO2, O2, and SO3 are 0.25 M, 0.15 M, and 0.40 M, respectively, we can plug these values into the Kc expression:Kc = 0.40 ^2 / 0.25 ^2 * 0.15 Kc = 0.16 / 0.0625 * 0.15 Kc = 0.16 / 0.009375Kc 17.07Therefore, the equilibrium constant Kc for this reaction at the given temperature is approximately 17.07.