Answer:
![K_(c) =([O_(2) ] [SO_(2) ]^(2) )/([SO_(3) ]^(2) )](https://img.qammunity.org/2023/formulas/chemistry/high-school/damine95yg9nf4mlrjk3esaccap8vi1wmz.png)
Step-by-step 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) =([B]^(b) [C]^(c) )/([A]^(a) )](https://img.qammunity.org/2023/formulas/chemistry/high-school/prsl4g20xzojy3ejhk334tr6ab18i6uu7x.png)
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) =([O_(2) ] [SO_(2) ]^(2) )/([SO_(3) ]^(2) )](https://img.qammunity.org/2023/formulas/chemistry/high-school/damine95yg9nf4mlrjk3esaccap8vi1wmz.png)