Chapter 14, Problem 14.22QE

Consider the following equilibria involving SO₂(g) and their corresponding equilibrium constants.

SO₂(g) + $\frac{1}{2}$ O₂(g) ⇌ SO₃(g) K₁

2SO₃(g) ⇌ 2SO₂(g) + O₂(g) K₂

Which of the following expressions relates K₁ to K₂?

(a) $K_2=K_1^2$

(b) $K_2^2=K_1$

(c) K₂ = K₁

(d) K₂ = 1/K₁

(e) $K_2=1/K_1^2$