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Answer:
[tex]K_{c} =\frac{[O_{2} ] [SO_{2} ]^{2} }{[SO_{3} ]^{2} }[/tex]
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:
[tex]K_{c} =\frac{[B]^{b} [C]^{c} }{[A]^{a} }[/tex]
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:
[tex]K_{c} =\frac{[O_{2} ] [SO_{2} ]^{2} }{[SO_{3} ]^{2} }[/tex]