Question

Two gaseous equilibria $S{O}_2\left(g\right)+0.5O_2\left(g\right)\rightleftharpoons S{O}_3\left(g\right)$ and

$2S{O}_3\left(g\right)\rightleftharpoons 2S{O}_2\left(g\right)+O_2\left(g\right)$ have equilibrium constants $K_1$ and $K_2$ respectively

at 298K. Which of the following relationships between $K_1$ and $K_2$ is correct

• A. K₂ = K­₁
• B. K₂ = K­₁²
• C. K₂ = 1/K­₁²
• D. K₂ = 1/K­₁

Answer 1

The correct option is C

K₂ = 1/K­₁²

$K_1=\frac{\left[S{O}_3\right]}{\left[S{O}_2\right][O_2{]}^{0.5}}$ and $K_2=\frac{\left[S{O}_2{]}^2\right[O_2]}{[S{O}_3{]}^2}$

or $K_2=\frac{1}{K_1^2}$