The equilibrium constant Kc for the reaction is 1.19.
Calculating Kc for the Reaction:
1. Define the equilibrium constant:
Kc is the equilibrium constant for the reaction expressed in terms of molar concentrations.
It is calculated using the formula:
Kc = [Products]^n / [Reactants]^m
where n and m are the stoichiometric coefficients of the products and reactants, respectively.
2. Identify the concentrations:
From the problem statement, we have the equilibrium concentrations of all four species:
[SO₂] = [NO₂] = 0.350 M
[SO₃] = [NO] = 0.650 M
3. Substitute the concentrations into the Kc formula:
The reaction stoichiometry is 1:1:1:1 for SO₂:NO₂:SO₃:NO. Therefore, n = m = 1 for both products and reactants.
Plug in the concentrations:
Kc = ([SO₃] * [NO])^1 / ([SO₂] * [NO₂])^1
Kc = (0.650 * 0.650) / (0.350 * 0.350)
Kc = 1.1907
The equilibrium constant Kc for the reaction is 1.19.