The equilibrium constant for the given reaction is 100.
`N_(2)(g)+2O_(2)(g) hArr 2NO_(2)(g)`
What is the equilibrium constant for the reaction ?
`NO_(2)(g) hArr 1//2 N_(2)(g) +O_(2)(g)`

Options

A. `1/((K_1K_2))`
B. `1/(2(K_1K_2))`
C. `1/(4(K_1K_2))`
D. `[1/(K_1K_2)]^(1//2)`

Answer

D

Explanation

`{:(N_(2(g))+O_(2(g))hArr2NO_(2(g)),K_1),(2NO_((g))+O_(2(g))hArr2NO_(2(g)),K_2),(bar(N_(2(g))+2O_(2(g))hArr2NO_(2(g)),K=K_1xxK_2)):}`
`:.` For `NO_(2(g))hArr1/2N_(2(g))+O_(2(g)),K.=[(1)/(K_1K_2)]^(1/2)`