The equilibrium constant for the reaction \( \mathrm{SO_3(g)} \rightleftharpoons \mathrm{SO_2(g)} + \tfrac{1}{2}\mathrm{O_2(g)} \) is \( K_c = 4.9 \times 10^{-2} \). The value of \( K_c \) for the reaction given below is \( 2\mathrm{SO_2(g)} + \mathrm{O_2(g)} \rightleftharpoons 2\mathrm{SO_3(g)} \) is:
