Chemical Equilibrium

At \(500 \mathrm{~K}\), for a reversible reaction \(A_2(g)+B_2(g) \rightleftharpoons 2 A B(g)\) in a closed container, \(K_C=2 \times 10^{-5}\). In the presence of catalyst, the equilibrium is attaining 10 times faster. The equilibrium constant \(K_C\) in the presence of catalyst at the same temperature is