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Kc is the equilibrium constant when using molar concentrations in the calculation and Kp is the equilibrium constant when using partial pressures. If your calculations use gases then either Kp or Kc, but if aqueous compounds are involved, only Kc would be used as only gases can have partial pressures.
Kc is the equilibrium constant calculated using molar concentrations of the products and reactants. Kp is the equilibrium constant using partial pressures of the products and reactants. You can write either the Kc or Kp for a problem involving gases only.
Kc is the equilibrium constant for molar concentrations. This is typically used with aqueous solutions, however there are certain times that you would use them with gases (not things you have to worry about right now). Kp is what you should be using to denote the equilibrium constant for gases with partial pressures.
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