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An amphoteric molecule can, under the right conditions, release either a free hydrogen ion (H+) or a free hydroxide ion (OH-). Water is made out of a hydrogen ion and a hydroxide ion, so you can create reactions that go either way.

Hence, under the appropriate conditions water acts like an acid; while under other conditions, it acts as a base.

Water acts as an acid, releasing H+ ions, when it reacts with a base stronger than itself.

H-OH + NH3 ---> NH4+ + OH-

Water acts as a base, releasing OH- ions, when it reacts with an acid stronger than itself.

H-OH + HCl ---> H3O+ + Cl-

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