To calculate the equilibrium constant Kc for the given reaction, we can use the expression:Kc = [SO3]^2 / [SO2]^2 * [O2] Given the concentrations at equilibrium:[SO2] = 0.20 M[O2] = 0.30 M[SO3] = 0.50 MNow, we can plug these values into the Kc expression:Kc = 0.50 ^2 / 0.20 ^2 * 0.30 Kc = 0.25 / 0.04 * 0.30 Kc = 0.25 / 0.012Kc 20.83Therefore, the equilibrium constant for the reaction is approximately 20.83.