Given: `N _(2) (g) + 3 H _(2) (g) hArr 2 NH _3 (g) , K _(1)`
`N _(2) (g) + O _(2) (g) hArr 2 NO (g) , K _(2)` ,
`H _(2) (g) + (1)/(2) O _(2) hArr H _(2) O (g) , K _(3)`
The equilibrium constant for
`2 NH _(3) (g) + (5)/(2) O _(2) (g) hArr 2 NO (g) + 3 H _(2) O (g)` will be

Options

A. `K _(1) K _(2) K _(3)`
B. `(K _(1) K _(2))/( K _(3))`
C. `(K _(1) K _(3) ^(2))/( K_(2))`
D. `(K _(2) K _(3) ^(2))/( K _(1))`

Answer

D

Explanation

`K _(1) = ([ NH _(3) ] ^(2))/( [ N _(2) ][ H_(2) ] ^(3)) , K _(2) = ([NO ]^(2))/( [N _(2) ] [O _(2)]) , K _(3) = ([ H _(2) O ])/( [H _(2) ] [ O _(2)] ^(1//2))`
The equilibrium constant for `2 NH _(3) (g) + (5)/(2) O _(2) (g) hArr 2NO (g) + 3 H _(2) O (g)`
will be, `K = ([ NO ] ^(2) [ H _(2)O ] ^(3))/( [NO_(3)] ^(2) [O _(2) ] ^(5//2)) = (K _(2) xx K _(3 ) ^(3))/( K _(1))`