The equilibrium constant for the reaction <br> $SO_3 (g) \rightleftharpoons SO_2(g) + \frac{1}{2} O_2 (g)$ <br> is $K_c = 4.9 \times 10^{-2}$. The value of $K_c$ for the reaction <br> $2SO_2 (g) + O_2(g) \leftrightharpoons 2SO_3 (g)$ <br> will be :

Question

( A ) $2.40 \times 10^{-3}$
( B ) $416$
( C ) $9.8 \times 10^{-2}$
( D ) $4.9 \times 10^{-2}$