Given that the equilibrium constant for the reaction `2SO_(2)(g)+O_(2)(g)hArr2SO_(3)(g)` has a value of 270 at a particular temperaturee. What is the vlaue of the equilibrium constant for the following reaction at same temperaturee `SO_(3)(g)hArrSO_(2)(g)+1/2O_(2)(g)`
A. `1.8xx10^(-3)`
B. `3.6xx10^(-3)`
C. `6.0xx10^(-2)`
D. `1.3xx10^(-5)`