For the reaction `N_(2)(g)+O_(2)(g) hArr 2NO(g)`, the equilibrium constant is `K_(1)`. The equilibrium constant is `K_(2)` for the reaction
`2NO(g)+O_(2) hArr 2NO_(2)(g)`
What is `K` for the reaction
`NO_(2)(g) hArr 1/2 N_(2)(g)+O_(2)(g)`?

Options

A. `(1)/(K_(1)K_(2))`
B. `(1)/(2K_(1)K_(2))`
C. `(1)/(4K_(1)K_(2))`
D. `((1)/(K_(1)K_(2)))^(1//2)`

Answer

D