In the equilibrium constant for `N_(2)(g) + O_(2)(g)hArr2NO(g)` is K, the equilibrium constant for `(1)/(2) N_(2)(g) + (1)/(2)O_(2)(g)hArrNO(g)` will be:

Options

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

Answer

A

Explanation

`K=([NO]^(2))/([N_(2)][O_(2)])`
`K'=(NO)/([N_(2)]^(1//2)[O_(2)]^(1//2))`
`thereforeK'=sqrtK`