The equilibrium constant for the reaction $SO_2 (g)+\large\frac{1}{2}$$O_2 (g) \rightleftharpoons SO_3(g)$ is $5 \times 10 ^{-2}\;atm$ The equilibrium consant of the reaction $250_3(g) \rightleftharpoons 2SO_2(g) +O_2 (g)$ would be

Question

$$\begin {array} {1 1} (a)\;100\;atm & \quad (b)\;200\;atm \\ (c)\;4 \times 10^2\;atm & \quad (d)\;6.25 \times 10^4 \;atm \end {array}$$