Given that equilibrium constant for the reaction `2SO_(2)(g) + O_(2)(g)hArr2SO_(3)(g)` has a value of 278 at a particular temperature. What is the value of the equilibrium constant for the following reaction at the same temperature ? `SO_(3)(g)hArrSO_(2)(g) + (1)/(2)O_(2)(g)`

Options

A. `3.6xx10^(-3)`
B. `6.0xx10^(-2)`
C. `1.3xx10^(-5)`
D. `1.8xx10^(-3)`

Answer

B

Explanation

`K'((1)/(K))^((1)/(2))=((1)/(278))^((1)/(2))=6xx10^(-2)`