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In addition, because the activity is equal to a constant multiplied by the concentration, and often times that constant is equal to one under ideal conditions, we can assume that the concentration values are values of the activity. As someone stated above, activity values do not have units.
To go off of the previous responses, although units are omitted when we write K we write a C or P next to it which indicates the units we are using without necessarily writing them. The purpose of this is to make sure that it is clear whether we are calculating concentration or pressure. For Kc, it indicates that we are using molar concentration units. For Kp, it indicates that you are using partial pressure with atm or bar as your unit to find the total pressure. This is why it's important when writing K to specify if its Kc or Kp.
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