Chemistry 2e · Acid-Base Equilibria
Brønsted-Lowry Acids and Bases
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In 30 seconds
The Brønsted-Lowry theory defines acids and bases by what they do with a proton (a hydrogen ion, H+). An acid is a proton donor; a base is a proton acceptor. This definition expands on the older Arrhenius idea (limited to water and OH− production) so acid-base behavior can be recognized in any solvent — even the gas phase.
The key structural idea is the conjugate pair. When an acid donates a proton, what remains is its conjugate base; when a base accepts one, the result is its conjugate acid. Every acid-base reaction therefore involves two pairs:
HClacid + H2Obase ⇌ H3O+conj. acid + Cl−conj. base
Water is special: it can act as either an acid or a base depending on its partner. Species that can do both are amphiprotic Able to act as either an acid or a base Full entry →. This chapter uses the Brønsted-Lowry framework to build the pH scale, compare acid strengths, and understand buffers and titrations.
Why this matters
Acid-base chemistry is everywhere in the body and the environment, and the Brønsted-Lowry view is its language:
- Human physiology: Exhaled carbon dioxide exists in blood mainly as carbonic acid and bicarbonate, H2CO3 / HCO3−, a conjugate pair that keeps blood pH near 7.4. Kidney and lung function are, in essence, acid-base management.
- Drug behavior: Many medications are weak acids or bases. Their ability to cross membranes depends on which protonated form dominates at body pH — a direct consequence of these equilibria (developed further in later topics).
- Environmental chemistry: Acid rain, ocean acidification from dissolved CO₂, and soil chemistry are all proton-transfer problems. Understanding who donates and who accepts a proton lets you reason about these systems without memorizing reactions.
The definitions also clear up a common confusion: a substance need not contain OH− to be a base. Ammonia, NH3, is a classic base because it accepts a proton.
The college version
Core Concepts
Acids donate protons; bases accept them
An acid is anything that can give up H+; a base is anything that can take it. The proton is a bare hydrogen nucleus — tiny and strongly attracted to electron pairs — so in water it never exists alone; it is always attached to a water molecule as the hydronium ion, H3O+. Writing H+(aq) is shorthand for H3O+(aq).
Consider ammonia in water:
NH3(aq) + H2O(l) ⇌ NH4+(aq) + OH-(aq)
Here NH3 accepts a proton (it is the base) and H2O donates one (it is the acid). Note that NH3 contains no oxygen and no OH− — yet it is unmistakably a base under this definition.
Conjugate acid-base pairs
A conjugate pair differs by exactly one proton. Remove a proton from an acid and you get its conjugate base; add a proton to a base and you get its conjugate acid.
- HCl / Cl−: chloride is the conjugate base of hydrochloric acid.
- NH4+ / NH3: ammonium is the conjugate acid of ammonia.
- H2O / OH−: hydroxide is the conjugate base of water.
In any acid-base reaction, the acid and base on the left are converted into their conjugates on the right. Identifying the two pairs is the fundamental skill: find the species that differ by one H+, and they form a pair.
Amphiprotic species
Water, bicarbonate (HCO3−), dihydrogen phosphate (H2PO4−), and hydrogen sulfate (HSO4−) can donate or accept a proton:
- With a strong base like OH−, bicarbonate acts as an acid: HCO3− + OH− ⇌ CO32− + H2O.
- With a strong acid, bicarbonate acts as a base: HCO3− + H3O+ ⇌ H2CO3 + H2O.
This dual behavior makes bicarbonate the central buffer species in blood.
Strong versus weak: complete versus partial proton transfer
Strong acids and bases transfer protons essentially completely in water; weak ones transfer only partially, establishing an equilibrium. Common strong acids include HCl, HBr, HI, HNO3, H2SO4 (first proton), and HClO4. Common strong bases are the hydroxides of group 1 metals (like NaOH, KOH) and of the heavier group 2 metals (like Ba(OH)2). Everything else commonly encountered — acetic acid, carbonic acid, ammonia — is weak and described by an equilibrium constant (next topics). Strong means "goes to completion"; weak means "use Ka or Kb."
Water's self-ionization: the connection to pH
Water autoionizes:
2H2O(l) ⇌ H3O+(aq) + OH-(aq)
At 25 °C the ion product is
Kw = [H3O+][OH−] = 1.0 × 10-14
This single equation links every acid-base calculation: knowing one of [H3O+] or [OH−] gives the other, and it is the foundation of the pH and pOH scale in the next topic.
How It Works / Step-by-Step Process
Worked example 1: labeling the species in an acid-base reaction
Problem. For HF(aq) + H2O(l) ⇌ H3O+(aq) + F-(aq), label the acid, base, conjugate acid, and conjugate base.
Solution.
- Find species that differ by one proton: HF/F− form a conjugate pair; H2O/H3O+ form the other.
- Track the proton: HF gives one up, so it is the acid and F− its conjugate base; H2O gains it, so it is the base and H3O+ its conjugate acid.
- Summary: acid HF, base H2O, conjugate acid H3O+, conjugate base F−.
Worked example 2: predicting products from a conjugate-pair analysis
Problem. Predict the products when ammonia accepts a proton from water, and identify the pairs.
Solution.
- Ammonia accepts a proton: NH3 is the base; it becomes NH4+ (its conjugate acid).
- Water donates the proton: H2O is the acid; it becomes OH− (its conjugate base).
- Balanced reaction:
NH3(aq) + H2O(l) ⇌ NH4+(aq) + OH-(aq)
Pairs: NH4+/NH3 and H2O/OH−. The product side contains hydroxide even though no starting base "contained" OH− — proton transfer created it.
Worked example 3: using Kw to find a missing concentration
Problem. In a solution at 25 °C, [H3O+] = 2.5 × 10-4 M. Find [OH−].
Solution.
- Write the ion-product expression: Kw = [H3O+][OH−] = 1.0 × 10-14.
- Solve for the unknown by dividing both sides:
[OH−] = Kw[H3O+] = 1.0 × 10-142.5 × 10-4 = 4.0 × 10-11 M
Dimensional analysis: (M2)/(M) = M, so the answer is in molarity. The solution is acidic (more H3O+ than OH−) — quantified by the pH scale next.
Common Confusions
| Do Not Confuse | With | Difference |
|---|---|---|
| Base containing OH− | Base accepting a proton | NH3 and CO32− are bases with no hydroxide; basicity is about accepting H+, not containing OH−. |
| Conjugate pair members | Any acid and base in the equation | Pair members differ by exactly one proton; HCl and H2O in the intro reaction are NOT a pair. |
| H+ alone in water | H3O+ | A bare proton cannot exist in water; writing H+(aq) is shorthand for hydronium. |
| Strong acid | Concentrated acid | Strength is about how completely a substance ionizes, not how much is present; a dilute strong acid is still "strong." |
| Amphiprotic | Amphoteric (neutral in all senses) | Amphiprotic specifically means able to donate or accept a proton; the term applies to species, not to reactions. |

Eli explains
The same idea, in plain words
Explain it like I’m 10
Think of a proton as a ball that molecules pass to each other. An acid is a molecule that passes the ball away; a base is one that catches it. Whenever the ball moves, the passer turns into its "empty-handed" partner and the catcher turns into its "holding-the-ball" partner — those partners are the conjugate pair. Some molecules, like water, can do both jobs depending on who they meet.
Key takeaways
- Brønsted-Lowry: acid = proton donor; base = proton acceptor. No OH− required for basicity.
- H+(aq) is shorthand for hydronium, H3O+(aq).
- A conjugate pair differs by exactly one proton: acid ⇌ conjugate base + H+.
- Every acid-base reaction contains two conjugate pairs; label all four species.
- Amphiprotic species (e.g., H2O, HCO3−, H2PO4−, HSO4−) can donate or accept a proton.
- Strong acids/bases ionize completely; weak ones establish equilibria (quantified by Ka/Kb in later topics).
- Water autoionizes with Kw = [H3O+][OH−] = 1.0 × 10-14 at 25 °C.
- The stronger an acid, the weaker its conjugate base (and vice versa) — a preview of the relative-strengths topic.
Check yourself
5 review questions from the chapter. Try each one, then open the answer.
Define acid and base in the Brønsted-Lowry sense.
Show answer
An acid donates a proton; a base accepts a proton.
In HNO2(aq) + H2O(l) ⇌ H3O+(aq) + NO2-(aq), identify all four species by role.
Show answer
Acid HNO2, base H2O, conjugate acid H3O+, conjugate base NO2−.
Why can water act as both acid and base? What is the term?
Show answer
Water can lose a proton (acid → OH−) or gain one (base → H3O+); dual behavior is called amphiprotic.
Write the two conjugate pairs in the reaction of HCO3− with OH−.
Show answer
HCO3− + OH− ⇌ CO32− + H2O: pairs are HCO3-/CO32− and H2O/OH−.
At 25 °C, if [OH−] = 1.0 × 10-3 M, what is [H3O+]? Acidic or basic?
Show answer
[H3O+] = Kw/[OH−] = 1.0 × 10-14/1.0 × 10-3 = 1.0 × 10-11 M. Since [OH−] > [H3O+], it is basic.
Study tools & related lessonsKey vocabulary · Related
Key vocabulary
- Brønsted-Lowry acid
- Any species that donates a proton (H+)
- Brønsted-Lowry base
- Any species that accepts a proton
- conjugate acid-base pair
- Two species differing by one proton
- hydronium ion (ceH3O+)
- The form a proton takes in water
- amphiprotic
- Able to act as either an acid or a base
- Kw
- Ion product of water, 1.0 × 10-14 at 25 °C
- conjugate acid–base pair
- Two species differing by one proton (e.g., NH4+/NH3).
Sources & references
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