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The equilibrium constants of the followi...

The equilibrium constants of the following are
`N_(2)+3H_(2) Leftrightarrow 2NH_(3) ,K_(1)`
`N_(2)+O_(2) Leftrightarrow 2NO, K_(2)`
`H_(2)+1/2 O_(2) to H_(2)O , K_(3)`
The equilibrium constant (K) of the reaction :

A

`K_(2)K_3^3//K_1`

B

`K_2K_3//K_1`

C

`K_2^3 K_3//K_1`

D

`K_1 K_3^3//K_2`

Text Solution

Verified by Experts

The correct Answer is:
A
From the given equations,
`2NH_(3) Leftrightarrow N_2+3H_2 , 1/K_(1) ………..(i)`
`N_2+O_2 Leftrightarrow 2NO, K_2 ………(ii)`
`3H_(2)+3/2 O_2 to 3H_2O , K_3^3 ………(iii)`
By adding equations (i), (ii) and (iii) we get
`2NH_(3)+5/2 O_(2) overset(K)Leftrightarrow 2NO+3H_(2)O, K=(K_(2)K_(3)^3)/(K_1)`
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