For 2SO2(g) + O2(g) 2SO3(g), K_c = 400 L mol^-1 at a given temperature. For SO3(g) SO2(g) + 1/2 O2(g) at the same temperature, K_c in mol^1/2 L^-1/2 is

JEE Main levelSingle correct optionDifficulty 2 of 3ce126

For $2 SO X_{2} (g) + O X_{2} (g) 2 SO X_{3} (g)$ , $K_{c} = 400 L mo l^{- 1}$ at a given temperature. For $SO X_{3} (g) SO X_{2} (g) + \frac{1}{2} O X_{2} (g)$ at the same temperature, $K_{c}$ in $mo l^{1/2} L^{- 1/2}$ is

Reversing the reaction inverts

K

, and halving the coefficients takes the square root.

K_{c}^{'} = (1/400)^{1/2} = 0.050

. Inverting without the square root gives 0.0025.