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K has no units because of "activity"; however, activity is really low (close to 1) for the most part, so the equation ratio is simplified to the form that we know. But also, in the ratio, the units in the numerator and denominator will cancel out.
K does not have units. The brackets signify its molarity or concentration of a reactant or product. As Dr. Lavelle discussed in class the true way to explain is via the ratio of the activities of the reactants and product. K is simply giving us the relative information of the rates and which reaction is favored. Activities don't have units and the expression we write assumes the activities are close to 1.
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