Consider the following gaseous equilibria with equilibrium constants K1 and K2 respectively. SO g O g SO g (KCET 2011) 2SO g 2SO g O g The equilibrium constants are related as (a) 2K K (b) K K (c) K K (d) K K

2 2 3 1 SO g O g SO g 2 3 1 1 2 2 2 [SO ] K [SO ][O ] 3 2 2 1 SO (g) SO (g) O 2 1 2 2 2 3 1 [SO ][O ] 1 K [SO ] K 3 2 2 2SO g 2SO g O g 2 2 2 2 2 2 3 1 2 1 2 [SO ] [O ] 1 K [SO ] K 1 K K >> Thus, the rate constant can be given as: 2 1 2 1 K = K Hence, the correct answer is option (b)