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I don't think it would be, because it wouldn't be in the same state as the other reactants and products. Also, I'm not sure if water would be a liquid participating and not be the main solvent, but I might be wrong about that.
Yes, I believe so. Almost always, water is the solvent in the reactions we have looked at and especially in biochemistry. However, when water is not the solvent and its concentration is not large enough for a change in its concentration to be negligible, we do include it in the equilibrium equation. After all, if a change in it would be significant so that the initial and final concentrations of water are not essentially equal, they would not cancel out and would contribute to the quotient or K value.
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