Commonly, it is accepted that a compound is an Arrhenius acid if it liberates hydrogen ions as H+ in water. In the next step, these H+ ions combine with water molecules to form hydronium ions (H3O+). The two steps can be summarised to say that Arrhenius acids are compounds that form hydronium ions, provided water is the solvent.

A Bronsted acid, HA, is a proton donor (with ‘proton’, in this context, a hydrogen ion, H+) in any aqueous solvent. In the example below, HNO3 splits in aqueous ammonia to liberate H+ and NO3- ions.

The loss of the proton results in the formation of the conjugate base of the acid, A- (NO3-). Conversely, the acquisition of a proton by a base, B (here NH3), results in the formation of its conjugate acid, HB+ (NH4+).
So, Bronsted and Lowry expanded on the Arrhenius definitions, defining acids as proton donors and bases as proton acceptors. They also introduced the concept of conjugate acid-base pairs.
An acid is a strong acid if it effectively and fully deprotonates in a solution, whereas a weak acid is only partially deprotonated at normal concentrations.
This acid strength is measured by the dissociation constant Ka; strong acids have higher Ka values, reflecting higher H+ concentrations. For a weak acid, the acidity constant, Ka, has a value of Ka<<1.
G.N. Lewis further expanded the scope and defined acid from the perspective of the electrons. A Lewis acid is an electron-pair acceptor (therefore, a base is an electron-pair donor; when they both combine, an adduct, or an acid-base complex, is formed). This definition also brought within its scope the “standard” Bronsted-Lowry acid-base reactions. A Bronsted-Lowry acid must donate a proton, which means it has an electron-deficient site (the proton) capable of accepting an electron pair, making it a type of Lewis acid. The formation of conjugate acid (HB+) proves just that!
In addition to Lowry-Bronsted acids, Lewis acids include transition-metal ions, central atoms with incomplete octets, and central atoms with available extra d-orbitals to accommodate an incoming electron pair.

Hard acids and soft acids are some of the terms associated with Lewis acids. It is important to realize that hard/soft considerations have nothing to do with acid or base strength. An acid or a base may be hard or soft and also be either weak or strong.
A hard and soft acid (or base) is indicative of its polarizability, that is, its innate ability to undergo electron cloud distortion under a set of applied conditions and therefore form temporary dipoles. Hard acids (and bases) are small, compact, and nonpolarizable. Soft acids (and bases) are larger and have a more diffuse distribution of electrons.
This polarizability of a Lewis acid (or base) plays a role in its reactivity and in which species it associates in reactions. A hard Lewis acid tends to bond strongly to a hard base; a soft acid is a Lewis acid that tends to bond strongly to a soft base. Hard acid – hard base combinations are predominantly ionic, whereas soft acid – soft base combinations are largely covalent.
Learning about Acids and Bases is crucial to understanding reactivity in Organic Chemistry. Beyond organic chemistry, they play a vital role in biological functions such as digestion and blood pH balance, as well as in numerous everyday products, from cleaning supplies and antacids to foods and fertilizers.
Read CurlyArrows Organic Chemistry Course to understand the fundamentals
Watch The Video
Listen to the - Podcast
Take the Quiz

Quiz on Acids in Organic Chemistry - Arrhenius, Bronsted-Lowry, Lewis (set 1)
Quiz on Acids in Organic Chemistry - Arrhenius, Bronsted-Lowry, Lewis (set 2)