For the hypothetical reaction:

$$ \ce{A <=> B + C}$$

the equilibrium constant expression is written as

$$\ K= \frac{[\ce B][\ce C]}{[\ce A]} $$

So, why is $ K_\mathrm w $ written as:

$$ K_\mathrm w = [\ce{H^+}][\ce{OH^-}] $$

I would expect:

$$ K_\mathrm w = \frac{[\ce{H^+}][\ce{OH^-}]}{[\ce{H_2O}]} $$


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