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Kp is the partial pressure equilibrium constant, which would be used for gases, but partial pressure can be converted into concentration of a gas by using the ideal gas law. I think because partial pressure can be converted into concentration, Kc can be used for gases.
If you remember the manipulation of the ideal gas equation we can go from the partial pressure to the concentration of a reactant or product and vice-versa. This is why even though all the products and reactants are in the gas phase the book provides the Kc expression. If you were doing calculations it would be easier to see what values are given then decide which equilibrium constant to use.
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