For the reaction 2 CO(g) + O2(g) ⇌ 2 CO2(g), if the equilibrium concentrations of CO and CO2 are both 0.25 M, calculate the equilibrium constant (Kc).
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The equilibrium constant, Kc, can be calculated using the concentrations of the reactants and products at equilibrium.
For the given reaction:
2 CO(g) + O2(g) ⇌ 2 CO2(g)
The balanced equation shows that the stoichiometric coefficient of CO2 is twice the stoichiometric coefficient of CO and O2. Therefore, if the equilibrium concentrations of CO and CO2 are both 0.25 M, the concentration of O2 would also be 0.25 M.
Using the formula for Kc, which is the ratio of the product concentrations to the reactant concentrations, we have:
Kc = [CO2]^2/([CO]^2[O2])
Plugging in the given concentrations:
Kc = (0.25 M)^2/((0.25 M)^2(0.25 M))
Kc = 0.0625 M^2 / 0.015625 M^3
Kc = 4
Therefore, the equilibrium constant (Kc) for the given reaction is 4.
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