The equilibrium constants of the following are
`N_2+3H_2 harr 2NH_3" "K_(1)`
`N_2+O_2 harr 2NO" "K_2`
`H_2 +1/2 O_2 rarr H_2O" "K_3`
The equilibrium constant (K) of the reaction:
`2NH_3+5/2 O_2 overset(K)harr 2NO+3H_2O`, will be:

Options

A. `K_2^3K_3//K_(1)`
B. `K_(1)K_3^3//K_(2)`
C. `K_2K_3^3//K_(1)`
D. `K_2K_3//K_(1)`

Answer

C

Explanation

`2NH_3 harr N_2+3H_2" "(1)/(K_(1))`
`N_2+O_2 harr 2NO" "K_2`
`3H_2+3/2 O_2 harr 3H_2O" "K_3^3`
`2NH_3+5/2 O_2 harr 2NO+3H_2" "K`
`K=(K_2K_3^3)/(K_(1))`