At 350\,K the following equilibrium is established in a rigid 2.00\,L vessel:
N2O4(g)⇌2NO2(g)
The vessel is initially charged with 0.200\,mol of N2O4 and no NO2. When equilibrium is reached, 0.0400\,mol of N2O4 remain. Calculate the equilibrium constant Kc at 350\,K.