Equilibrium constants ( K₁ ), and ( K₂ ) for the following equilibria (a) ( NO (g)+ 1 2 O ₂(g) NO ₂(g) ) (b) ( 2 NO ₂(g) 2 NO (g)+ O ₂(g) ) are related as :

Step-by-step solution

For reaction (I), [ array l N O(g)+ 1 2 O₂(g) N O₂(g) or 2 N O(g)+O₂(g) 2 N O₂(g) K₁= [N O₂ ] [N O] [O₂ ]^ 1 / 2 or K₁= [N O₂ ]² [N O]² [O₂ ] (1) array ] Now, for reaction (II), [ array l 2 N O₂(g) 2 N O(g)+O₂(g) K₁= [N O]² [O₂ ] [N O₂ ]² (2) array ] Equating Eq. (1) and Eq. (2), we get [ K₂= 1 K₁ ]