Kb: NH3+H2O<=>NH4++OH-: Why Omit H2O?

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alingy1
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Why is it that for the constant Kb, we always have to write H2O in the equation and we can omit H2O in acid reactions:

My textbook always writes:
NH3+H2O<=>NH4++OH-
NH4+<=>NH3+H+

Why can we not write NH3+H+<=>NH4+?
 
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alingy1 said:
Why can we not write NH3+H+<=>NH4+?

We can. NH4+ is a weak acid, with a dissociation constant of 5.6×10-10, and above dissociation reaction is perfectly valid.

Your book my be sticking to one convention to make things easier to follow.
 
Would the equilibrium constant be the same of that reaction? Or should we substitute OH- with Kw/H+?
Kw=10^-14