Consider the following two gaseous equilibria involving `SO_2` and the corresponding equilibrium constants at 298 K:
` SO_2(g) +(1)/(2) O_2(g) hArr SO_3 (g) ,K1`
` 2SO_3 (g) hArr 2SO_2 (g) + O_2(g) ,K_2`
The values of equilibrium constants are related by

Options

A. `2K_(1) = K_(2)^(2)`
B. `K_(1)^(2) = 1/K_(2)`
C. `K_(2)^(2) = 1/K_(1)`
D. `K_(2) = 2/K_(1)^(2)`

Answer

B

Explanation

`K_(1) = P_(SO_(3))/(P_(SO_(2)).P^(1//2)_(O_(2))), K_(2) = (P_(SO_(2)^(2)).P_(O_(2)))/P^(2)_(SO_(3))`
Hence `K_(2) = 1/K_(1)^(2) or K_(1)^(2) = 1/K_(2)`