Whether an acid is strong (e.g. HCl, H2SO4, HNO3) or weak (e.g. CH3COOH, H3PO4), it can still be classified as an Arrhenius acid as long as it can give H+ or produce H3O+ in water
In summary, the Arrhenius theory defines an acid as a substance that can give H+ when placed in water, and a base as a substance that can give OH-. A double displacement reaction occurs when an Arrhenius acid is mixed with an Arrhenius base, yielding water and a salt as products