To determine the equilibrium constant Kc for the given reaction, we first need to write the expression for Kc. For the reaction:2NO g + O2 g 2NO2 g The expression for Kc is:Kc = [NO2]^2 / [NO]^2 * [O2] At equilibrium, the concentrations are given as:[NO] = 0.15 M[O2] = 0.10 M[NO2] = 0.30 MNow, we can plug these values into the Kc expression:Kc = 0.30 ^2 / 0.15 ^2 * 0.10 Kc = 0.09 / 0.0225 * 0.10 Kc = 0.09 / 0.00225Kc 40Therefore, the equilibrium constant Kc for the given reaction is approximately 40.