MHT-CET Chemistry · Ionic Equilibria

Theories of Acids and Bases

The three definitions of acids and bases (Arrhenius, Bronsted-Lowry, Lewis), how to spot the conjugate acid-base pair in an equilibrium, and which species are amphoteric.

Why this matters

Around thirteen PYQs here, every one EASY and pure recall — the opening free marks of the chapter. They cluster three ways: match a definition to its theory (Lewis base donates an electron pair; a Bronsted base accepts a proton), pick the conjugate acid-base pair out of an equilibrium reaction, and name the amphoteric species (almost always water). Memorise the three definitions, learn the one-proton rule for conjugate pairs, and this whole subtopic is guaranteed marks.

Concept 1 of 3

The three theories: Arrhenius, Bronsted-Lowry and Lewis

Intuition

Chemists defined 'acid' and 'base' three times, each definition wider than the last. Arrhenius talks about ions released in water; Bronsted-Lowry talks about giving and taking a proton; Lewis talks about giving and taking an electron pair. The bank tests these as straight identify-the-species recall, so learn each definition well enough to point at the acid and the base in any list.

Definition

The three definitions of acids and bases, each broader than the last:

  • Arrhenius — an acid dissociates in water to give H+\text{H}^+; a base dissociates in water to give OH\text{OH}^-. Limited to aqueous solutions.
  • Bronsted-Lowry — an acid is a **proton (H+)(\text{H}^+) donor; a base is a proton acceptor**. Works beyond water.
  • Lewis — an acid is an electron-pair acceptor; a base is an electron-pair donor. The most general definition.

So NH3\text{NH}_3 (lone pair on N) is a Lewis base, while BF3\text{BF}_3, AlCl3\text{AlCl}_3, BCl3\text{BCl}_3 and Cu2+\text{Cu}^{2+} (electron-deficient) are Lewis acids.

TheoryAcid isBase isExample acid / base
ArrheniusGives H+\text{H}^+ in waterGives OH\text{OH}^- in waterHCl\text{HCl} / NaOH\text{NaOH}
Bronsted-LowryProton (H+)(\text{H}^+) donorProton (H+)(\text{H}^+) acceptorHCl\text{HCl} / NH3\text{NH}_3
A Bronsted base ACCEPTS a proton — this is why NH3\text{NH}_3 'acts as a base when reacted with water' (it takes an H+\text{H}^+ to become NH4+\text{NH}_4^+).
LewisElectron-pair acceptorElectron-pair donorBF3\text{BF}_3 / NH3\text{NH}_3
BCl3\text{BCl}_3 is a Lewis acid but NOT a Bronsted acid — it accepts an electron pair yet has no proton to donate.
Each later theory contains the earlier one; a Lewis acid is the most general kind.
Practice this conceptself-check · 5 quick reps

Try it yourself

From the list BF3\text{BF}_3, Cu2+\text{Cu}^{2+}, AlCl3\text{AlCl}_3, NH3\text{NH}_3, identify the Lewis base and explain why.

Practice — Level 1 (5 reps)

Quick reps to lock in the method. Try each, then check.

  1. 1.
    Under the Arrhenius theory, an acid gives which ion in water?
  2. 2.
    Under the Bronsted-Lowry theory, a base is defined as a what?
  3. 3.
    Under the Lewis theory, a base is defined as a what?
  4. 4.
    Is BCl3\text{BCl}_3 a Lewis acid or base?
  5. 5.
    Which activity does a Lewis base exhibit?

From the bank · past-year question

Example 1Ionic EquilibriaEASY
Which of the following is Lewis base?

[Q55 · 21 April Shift I · 2025]

Match the activity to the right theory

'Donate a pair of electrons' is the Lewis base definition. Do not confuse it with 'accept H+\text{H}^+' (that is a Bronsted base) or 'donate OH\text{OH}^-' (that is an Arrhenius base). A Lewis base gives an electron pair, not a proton or a hydroxide ion.

Lewis acid vs Bronsted acid

BCl3\text{BCl}_3 is a Lewis acid but not a Bronsted acid — it accepts an electron pair but has no H+\text{H}^+ to donate. HNO3\text{HNO}_3 and HSO4\text{HSO}_4^- are both Lewis and Bronsted acids because they can donate a proton too.

Concept 2 of 3

Conjugate acid-base pairs

Intuition

When a Bronsted acid donates its proton, what is left is its conjugate base; when a base accepts a proton, it becomes its conjugate acid. So a conjugate acid-base pair is any two species that differ by exactly one H+\text{H}^+ — the acid being the one with the extra proton.

Definition

A conjugate acid-base pair differs by exactly one proton (H+)(\text{H}^+):

  • The conjugate base of an acid = the acid minus one H+\text{H}^+ (and its charge drops by one).
  • The conjugate acid of a base = the base plus one H+\text{H}^+ (charge rises by one).
  • In an equilibrium such as HCl+NH3NH4++Cl\text{HCl} + \text{NH}_3 \rightleftharpoons \text{NH}_4^+ + \text{Cl}^-, the two pairs are HCl/Cl\text{HCl}/\text{Cl}^- and NH4+/NH3\text{NH}_4^+/\text{NH}_3.

Conjugate base from an acid

Acid    Conjugate base+H+\text{Acid} \;\rightleftharpoons\; \text{Conjugate base} + \text{H}^+
  • \text{Acid}proton donor (the species with the extra H+)
  • \text{Conjugate base}what remains after the acid loses one H+
  • \text{H}^+the single proton that distinguishes the pair

Worked example

For the equilibrium H2SO3+H2OHSO3+H3O+\text{H}_2\text{SO}_3 + \text{H}_2\text{O} \rightleftharpoons \text{HSO}_3^- + \text{H}_3\text{O}^+, identify a conjugate acid-base pair.
  1. Find two species that differ by one H+\text{H}^+.
  2. H2SO3\text{H}_2\text{SO}_3 loses a proton to become HSO3\text{HSO}_3^-, so they differ by exactly one H+\text{H}^+.
  3. The one with the extra proton (H2SO3)(\text{H}_2\text{SO}_3) is the acid; HSO3\text{HSO}_3^- is its conjugate base.
Answer:H2SO3\text{H}_2\text{SO}_3 (acid) and HSO3\text{HSO}_3^- (conjugate base).
Practice this conceptself-check · 4 quick reps

Try it yourself

What is the conjugate base of HPO42\text{HPO}_4^{2-}?

Practice — Level 1 (4 reps)

Quick reps to lock in the method. Try each, then check.

  1. 1.
    Conjugate base of HClO4\text{HClO}_4?
  2. 2.
    Conjugate acid of NH3\text{NH}_3?
  3. 3.
    In HCl+NH3NH4++Cl\text{HCl}+\text{NH}_3 \rightleftharpoons \text{NH}_4^+ + \text{Cl}^-, name the pair with NH3\text{NH}_3.
  4. 4.
    How many protons separate an acid from its conjugate base?

From the bank · past-year question

Example 2Ionic EquilibriaEASY
Which among the following is the conjugate base of HClO4\text{HClO}_4?

[Q82 · 11th May Shift 2 · 2023]

Conjugate base of a strong acid is weak

The conjugate base of a strong acid like HClO4\text{HClO}_4 is ClO4\text{ClO}_4^-, which is a very weak base. In general, the stronger the acid, the weaker its conjugate base — don't expect ClO4\text{ClO}_4^- to behave like a strong base.

Pick species differing by ONE proton — not a random pair

In HCl+NH3NH4++Cl\text{HCl}+\text{NH}_3 \rightleftharpoons \text{NH}_4^+ + \text{Cl}^-, the pair is NH4+/NH3\text{NH}_4^+/\text{NH}_3, NOT NH4+/HCl\text{NH}_4^+/\text{HCl} or Cl/NH4+\text{Cl}^-/\text{NH}_4^+. A conjugate pair must be the same core species before and after losing one H+\text{H}^+.

Concept 3 of 3

Amphoteric species

Intuition

Some species can play either role — donating a proton when faced with a base, or accepting one when faced with an acid. Water is the textbook example, and it is nearly always the bank's answer to 'which is amphoteric'.

Definition

An amphoteric (or amphiprotic) species can act as both an acid and a base:

  • Water (H2O)(\text{H}_2\text{O}) donates a proton to become OH\text{OH}^- (acting as an acid) and accepts a proton to become H3O+\text{H}_3\text{O}^+ (acting as a base). It is the classic amphoteric compound.
  • Hydrogencarbonate (HCO3)(\text{HCO}_3^-) is also amphoteric — it can lose an H+\text{H}^+ to give CO32\text{CO}_3^{2-} or gain one to give H2CO3\text{H}_2\text{CO}_3.
  • Compounds like HCl\text{HCl} (acid only), NaOH\text{NaOH} (base only) and CH3COOH\text{CH}_3\text{COOH} (acid only) are not amphoteric.
SpeciesAmphoteric?Why
H2O\text{H}_2\text{O}YesGives OH\text{OH}^- (acid) and takes H+\text{H}^+ to form H3O+\text{H}_3\text{O}^+ (base)
Water is the bank's default answer for 'which species is amphoteric'.
HCO3\text{HCO}_3^-YesLoses H+\text{H}^+ to CO32\text{CO}_3^{2-} or gains H+\text{H}^+ to H2CO3\text{H}_2\text{CO}_3
HCl\text{HCl}NoOnly donates a proton (acid only)
NaOH\text{NaOH}NoOnly gives OH\text{OH}^- (base only)
CH3COOH\text{CH}_3\text{COOH}NoActs only as an acid (donates a proton)
Amphoteric = can be either acid or base; water and HCO3\text{HCO}_3^- are the standard examples.
Practice this conceptself-check · 4 quick reps

Try it yourself

From HCl\text{HCl}, H2O\text{H}_2\text{O}, CH3COOH\text{CH}_3\text{COOH}, NaOH\text{NaOH}, which one is amphoteric?

Practice — Level 1 (4 reps)

Quick reps to lock in the method. Try each, then check.

  1. 1.
    Which common compound is amphoteric: HCl\text{HCl}, H2O\text{H}_2\text{O}, NaOH\text{NaOH}?
  2. 2.
    Name another amphoteric species besides water.
  3. 3.
    Is NaOH\text{NaOH} amphoteric?
  4. 4.
    What does water become when it acts as a Bronsted base?

From the bank · past-year question

Example 3Ionic EquilibriaEASY
Which of the following compounds amphoteric in nature?

[Q66 · 3rd May Shift 2 · 2023]

Water is amphoteric — acetic acid is not

H2O\text{H}_2\text{O} is amphoteric because it both donates and accepts protons. CH3COOH\text{CH}_3\text{COOH} is a distractor here: it can lose a proton to a stronger base, but it does not readily accept one, so it acts only as an acid and is not amphoteric.

Summary — formulas & gotchas at a glance

A revision cheat-sheet for the formulas and gotchas above. Click any concept name to jump back to its full explanation.

Formulas (1)

  • Conjugate acid-base pairs

    Conjugate base from an acid

    Acid    Conjugate base+H+\text{Acid} \;\rightleftharpoons\; \text{Conjugate base} + \text{H}^+

Reference tables (2)

The three theories: Arrhenius, Bronsted-Lowry and Lewis3 rows
TheoryAcid isBase isExample acid / base
ArrheniusGives H+\text{H}^+ in waterGives OH\text{OH}^- in waterHCl\text{HCl} / NaOH\text{NaOH}
Bronsted-LowryProton (H+)(\text{H}^+) donorProton (H+)(\text{H}^+) acceptorHCl\text{HCl} / NH3\text{NH}_3
A Bronsted base ACCEPTS a proton — this is why NH3\text{NH}_3 'acts as a base when reacted with water' (it takes an H+\text{H}^+ to become NH4+\text{NH}_4^+).
LewisElectron-pair acceptorElectron-pair donorBF3\text{BF}_3 / NH3\text{NH}_3
BCl3\text{BCl}_3 is a Lewis acid but NOT a Bronsted acid — it accepts an electron pair yet has no proton to donate.
Each later theory contains the earlier one; a Lewis acid is the most general kind.
Amphoteric species5 rows
SpeciesAmphoteric?Why
H2O\text{H}_2\text{O}YesGives OH\text{OH}^- (acid) and takes H+\text{H}^+ to form H3O+\text{H}_3\text{O}^+ (base)
Water is the bank's default answer for 'which species is amphoteric'.
HCO3\text{HCO}_3^-YesLoses H+\text{H}^+ to CO32\text{CO}_3^{2-} or gains H+\text{H}^+ to H2CO3\text{H}_2\text{CO}_3
HCl\text{HCl}NoOnly donates a proton (acid only)
NaOH\text{NaOH}NoOnly gives OH\text{OH}^- (base only)
CH3COOH\text{CH}_3\text{COOH}NoActs only as an acid (donates a proton)
Amphoteric = can be either acid or base; water and HCO3\text{HCO}_3^- are the standard examples.

Watch out for (5)

Mastery check — 5 interleaved questions

Try each one before clicking. Questions are interleaved across the concepts above, not grouped — interleaving sharpens transfer.

Example 1Ionic EquilibriaEASY
Which from following substances acts as a base when reacted with water?

[Q52 · Shift 1 · 2023]

Example 2Ionic EquilibriaEASY
Identify the conjugate acid-base pair respectively from following equilibrium reaction.\
HPO4(aq)2+H2O(l)PO4(aq)3+H3O(aq)+HPO_{4(aq)}^{2 -}+H_{2}O_{(l)}\rightleftharpoons PO_{4(aq)}^{3 -}+H_{3}O_{(aq)}^{+}

[Q51 · 22 April Shift I · 2025]

Example 3Ionic EquilibriaEASY
Which of the following species is amphoteric in nature?

[Q88 · May Shift 1 · 2021]

Example 4Ionic EquilibriaEASY
Which activity from following is exhibited by Lewis base according to definition?

[Q69 · 14th May Shift 1 · 2024]

Example 5Ionic EquilibriaEASY
Identify conjugate acid-base pair from following equilibrium reaction.\
HSO3(aq)+H3O(aq)+H2SO3+H2OHSO_{3(aq)}^{-}+H_{3}O_{(aq)}^{+}\rightleftharpoons H_{2}SO_{3}+H_{2}O

[Q51 · 22 April Shift II · 2025]

Drill every past-year question on this subtopic

13 questions from the bank — paginated, with cart and Word-export support.

Related notes