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Kc is calculated using the equilibrium molar concentrations of products and reactants while Kp is calculated using the equilibrium partial pressures of products and reactants and can only be used for gases. You can relate the two using P=(concentration)RT.
When you are given equilibrium concentrations, you must use Kc to calculate the equilibrium constant. This can apply to both aqueous solutions and gases. In contrast, Kp can only be used to calculate the equilibrium constant of partial pressures. Kp cannot be applied to aqueous solutions since they do not have partial pressures.
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