If the value of equilibrium constant of the reaction `2SO_(2)(g)+O_(2)(g)to2SO_(3)(g)` be K, then what will be the values of equilibrium constant of the reaction :
`SO_(3)(g)hArrSO_(2)(g)+(1)/(2)O_(2)(g)`.

Explanation

`2SO_(2)(g)+O_(2)(g)hArr2SO_(3)(g),K=([SO_(3)]^(4))/([SO_(2)]^(2)[O_(2)])`
`SO_(3)(g)hArr SO_(2)(g)+(1)/(2)O_(2)(g),` Equilibrium constant`=([SO_(2)][O_(2)]^(1//2))/([SO_(3)])=(1)/(sqrt(K))`.