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As you probably know, K represents the equilibrium constant. The subscripts specify what the equilibrium constant consists of. Kc means the equilibrium constant of concentrations whereas Kp means the equilibrium constant of the partial pressures. You use Kp when the equation includes just gases just to be more specific. It shows that there are only gases. However, depending on the question, it may ask for Kc or simply K in which your answer will be okay either way.
Neither Kp or Kc is preferred but often times Kp will be used when the reaction involves gases and ask for the partial pressure. If the question is asking for molar concentration automatically assume to use Kc. Also remember when using Kc use brackets which indicate concentration and for Kp use parentheses to indicate partial pressure. (When setting up to solve for either Kp or Kc)
I believe you can usually figure out whether or not to use Kp or Kc based on the information given surrounding the chemical equation because both can be used for gases but sometimes certain information is required depending on the K you are asked to use.
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