Answer:
![K_{c} =\frac{[O_{2} ] [SO_{2} ]^{2} }{[SO_{3} ]^{2} }](https://tex.z-dn.net/?f=K_%7Bc%7D%20%3D%5Cfrac%7B%5BO_%7B2%7D%20%5D%20%5BSO_%7B2%7D%20%5D%5E%7B2%7D%20%7D%7B%5BSO_%7B3%7D%20%5D%5E%7B2%7D%20%7D)
Explanation:
To construct the equilibrium constant, you need the balanced equation:
2 SO₃(g) -----> O₂(g) + 2 SO₂(g)
The equilibrium constant compares the concentrations of the products and the reactants.
The given expression follows this structure:
aA(g) ----> bB(g) + cC(g)
In this equation, the uppercase letters symbolize the molecules and the lowercase letters symbolize their corresponding coefficients in the balanced equation.
The general equilibrium expression looks like this:
![K_{c} =\frac{[B]^{b} [C]^{c} }{[A]^{a} }](https://tex.z-dn.net/?f=K_%7Bc%7D%20%3D%5Cfrac%7B%5BB%5D%5E%7Bb%7D%20%5BC%5D%5E%7Bc%7D%20%7D%7B%5BA%5D%5E%7Ba%7D%20%7D)
To be clear, the concentrations in the numerator represent the gaseous products and the concentrations in the denominator represent the gaseous reactants.
Therefore, the equilibrium expression for this equation is:
![K_{c} =\frac{[O_{2} ] [SO_{2} ]^{2} }{[SO_{3} ]^{2} }](https://tex.z-dn.net/?f=K_%7Bc%7D%20%3D%5Cfrac%7B%5BO_%7B2%7D%20%5D%20%5BSO_%7B2%7D%20%5D%5E%7B2%7D%20%7D%7B%5BSO_%7B3%7D%20%5D%5E%7B2%7D%20%7D)