Final answer:
To calculate the equilibrium constant (Kc) for the reaction 2 SO₂(g) + O₂(g) = 2 SO₃(g), one would typically combine given consecutive reactions with known Kc values to find the Kc of the desired reaction. However, the provided constants can't be combined directly as they don't add up to the resultant reaction. The correct method requires manipulating the reactions so that they add up to the target reaction.
Step-by-step explanation:
The question asks to calculate the equilibrium constant (Kc) for the reaction 2 SO₂(g) + O₂(g) = 2 SO₃(g) using given constants for related reactions. We can use the approach of combining equilibrium constants for consecutive reactions to determine the overall Kc for the desired reaction, which is a method based on the principle that if two reactions can be added to give a third, then the equilibrium constants for the individual reactions can be multiplied to give the equilibrium constant for the overall reaction.
Unfortunately, there's an error in the provided constants as both reactions can't be combined to directly yield the resultant one we are interested in. The correct approach to obtain the desired Kc would involve reaction manipulations that yield the target reaction when added up, using Hess's Law of reaction additivity for equilibrium constants.