If the equilibrium constant for
`N_(2) (g) + O_(2)(g) hArr 2NO(g)` is K , the equilibrium
`" constant for " 1/2 N_(2) (g) +1/2 O_(2) (g) hArr NO (g)` will be

Options

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

Explanation

`N_(2) (g) +O_(2) (g) Leftrightarrow 2NO`
`K=([NO]^(2))/([N_(2)] [O_(2)])`
for `1/2 N_(2)+1/2 O_(2) Leftrightarrow NO(g), K.=([NO])/([N_(2)]^(1//2) [O_(2)]^(1//2))`
`K.=(K)^(1//2)`