To calculate the equilibrium constant Kc for the given reaction, we need to use the formula:Kc = [products]^coefficients / [reactants]^coefficientsFor the given reaction:2NOCl g 2NO g + Cl2 g Kc = [NO]^2 * [Cl2] / [NOCl]^2We are given the concentrations of the species at equilibrium:[NOCl] = 0.5 M[NO] = 0.2 M[Cl2] = 0.1 MNow, we can plug these values into the Kc formula:Kc = 0.2^2 * 0.1 / 0.5^2 Kc = 0.04 * 0.1 / 0.25Kc = 0.004 / 0.25Kc = 0.016So, the equilibrium constant Kc for the given reaction is 0.016.