To determine the equilibrium constant Kc for the given reaction, we need to use the formula:Kc = [Products] / [Reactants]For the given reaction:CO g + 2H2 g CH3OH g The equilibrium constant expression is:Kc = [CH3OH] / [CO] * [H2]^2 Now, we can plug in the given concentrations:Kc = [0.05] / 0.10 * 0.20 ^2 Kc = 0.05 / 0.10 * 0.04 Kc = 0.05 / 0.004Kc = 12.5The equilibrium constant Kc for the given reaction at 298 K is 12.5.