To determine the equilibrium constant Kc for the given reaction, we first need to find the equilibrium concentrations of all the species involved. Let's denote the change in concentration of SO2, O2, and SO3 as x.At equilibrium, the concentrations will be:[SO2] = 0.10 - 2x[O2] = 0.20 - x[SO3] = 0.05 + 2xNow, we can write the expression for the equilibrium constant Kc:Kc = [SO3]^2 / [SO2]^2 * [O2] Substitute the equilibrium concentrations into the Kc expression:Kc = 0.05 + 2x ^2 / 0.10 - 2x ^2 * 0.20 - x Since we don't have the value of Kc or x, we cannot solve for Kc directly. However, if we were given additional information, such as the equilibrium concentrations or the value of Kc, we could solve for the unknowns and find the equilibrium constant.