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Inquiry Question 5: How are acids and bases defined and how do they behave in aqueous solution?

Investigate the Brønsted-Lowry theory of acids and bases, including conjugate acid/base pairs and the behaviour of amphiprotic species

A focused answer to the HSC Chemistry Module 5 dot point on Brønsted-Lowry acid-base theory. Definitions, conjugate acid-base pairs, amphiprotic species (water and bicarbonate), how the theory extends Arrhenius, and the worked HSC past exam questions.

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  1. What this dot point is asking
  2. The answer
  3. Examples in context
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What this dot point is asking

NESA wants you to define Brønsted-Lowry acids and bases, identify conjugate acid-base pairs in a chemical equation, explain how a species can be amphiprotic, and compare Brønsted-Lowry to the earlier Arrhenius model. This is the conceptual foundation for every acid-base calculation in HSC Chemistry, including pH and pOH, titration analysis, and buffer systems.

The answer

Definitions

  • Brønsted-Lowry acid: a species that donates a proton (H+H^+).
  • Brønsted-Lowry base: a species that accepts a proton (H+H^+).

The definition focuses on the proton transfer itself, not on whether the reaction occurs in water.

Conjugate acid-base pairs

When an acid donates a proton, it becomes a base (because it can now accept the proton back). When a base accepts a proton, it becomes an acid. The acid and base that differ by a single H+H^+ form a conjugate acid-base pair.

For the reaction:

HCl(aq)+H2O(l)H3O(aq)++Cl(aq)HCl_{(aq)} + H_2O_{(l)} \rightleftharpoons H_3O^+_{(aq)} + Cl^-_{(aq)}

  • HCl donates H+H^+, so HClHCl is the acid. Its conjugate base is ClCl^-.
  • Water accepts H+H^+, so H2OH_2O is the base. Its conjugate acid is H3O+H_3O^+.

Two conjugate pairs: HCl/ClHCl / Cl^- and H3O+/H2OH_3O^+ / H_2O.

An owned reaction diagram makes the proton handover explicit: the same H+H^+ leaves the acid and lands on the base, creating the two conjugate species in a single step.

Brønsted-Lowry proton transfer forming two conjugate pairs Reaction scheme for hydrochloric acid plus water going to hydronium ion plus chloride ion, with a curved arrow showing the proton leaving HCl and landing on water, and the two conjugate acid-base pairs bracketed and labelled. HCl H₂O H₃O⁺ Cl⁻ H⁺ transfers Pair 2 (acid / base): H₃O⁺ / H₂O Pair 1 (acid / base): HCl / Cl⁻ acid base conjugate acid conjugate base HCl and its conjugate base Cl⁻ sit on one leader; H₂O and its conjugate acid H₃O⁺ sit on the other.

Amphiprotic species

An amphiprotic species can act as either a Brønsted-Lowry acid or a Brønsted-Lowry base depending on what it reacts with. The most important examples:

Water.

  • Acts as a base: H2O+HClH3O++ClH_2O + HCl \rightleftharpoons H_3O^+ + Cl^-.
  • Acts as an acid: H2O+NH3OH+NH4+H_2O + NH_3 \rightleftharpoons OH^- + NH_4^+.

Bicarbonate ion (HCO3HCO_3^-).

  • Acts as a base: HCO3+H3O+H2CO3+H2OHCO_3^- + H_3O^+ \rightleftharpoons H_2CO_3 + H_2O.
  • Acts as an acid: HCO3+OHCO32+H2OHCO_3^- + OH^- \rightleftharpoons CO_3^{2-} + H_2O.

Hydrogen sulfate ion (HSO4HSO_4^-). Similarly acts as both an acid and a base.

Amino acids (like glycine, H2NCH2COOHH_2NCH_2COOH) are amphiprotic because they contain both an acidic COOH-COOH group and a basic NH2-NH_2 group.

A useful term to distinguish: amphoteric is the broader concept (can react with both acids and bases), which includes species like Al2O3Al_2O_3 that are not necessarily proton donors. Amphiprotic specifically means proton donor and acceptor.

Comparison with Arrhenius theory

Arrhenius (1887): an acid produces H+H^+ in water, a base produces OHOH^- in water.

Brønsted-Lowry (1923) extends this in three ways:

  1. Defines acid-base behaviour by proton transfer, not by what ions form in water.
  2. Works in non-aqueous solvents.
  3. Explains the basicity of species like NH3NH_3, CO32CO_3^{2-}, HCO3HCO_3^- that contain no hydroxide.

Every Arrhenius acid is also a Brønsted-Lowry acid, but the reverse is not true.

Examples in context

Example 1. Sydney Water Prospect treatment plant pH adjustment. The Prospect water filtration plant adjusts incoming Warragamba water to a pH near 7.8 by dosing carbon dioxide or hydrated lime. The chemistry is a textbook Brønsted-Lowry transfer: hydrated lime deprotonates water pulled from a moderately acidic supply to give Ca(aq)2++2OH(aq)Ca^{2+}_{(aq)} + 2OH^-_{(aq)}, with the hydroxide accepting a proton from any free H3O+H_3O^+ in the source water. Operators see the conjugate-base HCO3HCO_3^- formed from the dissolved CO2CO_2 acting amphiprotically, buffering the network against tiny upstream pH fluctuations as water moves through the supply tunnel to Sydney homes.

Example 2. Bicarbonate as the body's amphiprotic ion. Bicarbonate is the most important amphiprotic species in human physiology. In stomach acid it accepts a proton: HCO3+H3O+H2CO3+H2OHCO_3^- + H_3O^+ \rightarrow H_2CO_3 + H_2O, neutralising acidity in antacids such as Mylanta. In the bloodstream the same ion donates a proton to keep plasma pH near 7.4: HCO3+H2OCO32+H3O+HCO_3^- + H_2O \rightleftharpoons CO_3^{2-} + H_3O^+. A single ion species playing both roles, depending on its partner, is exactly what Brønsted-Lowry theory predicts but the older Arrhenius framework cannot describe.

Try this

Q1. Define a Brønsted-Lowry acid and identify the conjugate base of H2SO4H_2SO_4, NH4+NH_4^+ and HCO3HCO_3^-. [3 marks]

  • Cue. Acid as proton donor; conjugate bases are HSO4HSO_4^-, NH3NH_3 and CO32CO_3^{2-} respectively, each formed by removing one H+H^+.

Q2. Calculate the [H3O+][H_3O^+] produced when 0.0500 mol of HCl is dissolved in 250 mL of water, assuming full dissociation. [2 marks]

  • Cue. Strong acid donates one proton per molecule, [H3O+]=0.0500/0.250=0.200 mol L1[H_3O^+] = 0.0500 / 0.250 = 0.200 \text{ mol L}^{-1}.

Q3. Hydrogen carbonate is described as amphiprotic. (a) Write equations showing HCO3HCO_3^- acting as an acid and as a base in water. (b) Identify the conjugate pairs in each equation. (c) Explain why Arrhenius theory cannot accommodate this behaviour. [2+2+1 marks]

  • Cue. (a) Acid: HCO3+H2OCO32+H3O+HCO_3^- + H_2O \rightleftharpoons CO_3^{2-} + H_3O^+; base: HCO3+H2OH2CO3+OHHCO_3^- + H_2O \rightleftharpoons H_2CO_3 + OH^-. (b) Label by one-proton difference. (c) Arrhenius limits acids to producers of H+H^+ in water and cannot describe a species that both donates and accepts protons.

Exam-style practice questions

Practice questions written in the style of NESA exam questions on this dot point, with worked answer explainers. The year tag is the paper they imitate, not the source.

2021 HSC4 marksUsing the equation HCO₃⁻ + H₂O ⇌ H₂CO₃ + OH⁻, identify each species as a Brønsted-Lowry acid or base, and explain the term amphiprotic with reference to HCO₃⁻.
Show worked answer →

A 4 mark answer needs the acid/base assignment, the conjugate pairs, and a clear demonstration that HCO3HCO_3^- is amphiprotic.

In the forward direction:

  • Water donates a proton to HCO3HCO_3^-, so H2OH_2O is the Brønsted-Lowry acid.
  • The HCO3HCO_3^- ion accepts a proton, so HCO3HCO_3^- is the Brønsted-Lowry base.

In the reverse direction:

  • The H2CO3H_2CO_3 molecule donates a proton, so it is the conjugate acid of HCO3HCO_3^-.
  • The OHOH^- ion accepts a proton, so it is the conjugate base of H2OH_2O.

Conjugate pairs: HCO3/H2CO3HCO_3^- / H_2CO_3 and H2O/OHH_2O / OH^-.

Amphiprotic means a species can act either as a Brønsted-Lowry acid (donating H+H^+) or as a Brønsted-Lowry base (accepting H+H^+). In the equation above, HCO3HCO_3^- acts as a base. But HCO3HCO_3^- can also donate a proton, for example HCO3+H2OCO32+H3O+HCO_3^- + H_2O \rightleftharpoons CO_3^{2-} + H_3O^+, where it acts as an acid. Because it can do both, HCO3HCO_3^- is amphiprotic.

Markers reward (1) correct assignment in the forward and reverse directions, (2) explicit naming of the two conjugate pairs, (3) the definition of amphiprotic with two equations showing HCO3HCO_3^- in both roles.

2017 HSC2 marksExplain why the Brønsted-Lowry theory of acids is considered an improvement on the Arrhenius theory.
Show worked answer →

Arrhenius defined an acid as a substance that produces H+H^+ in aqueous solution and a base as a substance that produces OHOH^-. This definition is limited to aqueous solutions and cannot explain basic behaviour without hydroxide ions.

Brønsted-Lowry defines an acid as a proton donor and a base as a proton acceptor. This extends the theory in two ways:

  1. It works in non-aqueous solvents (for example, NH3NH_3 acting as a base toward HClHCl in liquid ammonia).
  2. It explains the basic behaviour of species like NH3NH_3, CO32CO_3^{2-} and HCO3HCO_3^- that contain no OHOH^- but still accept protons in water.

Markers reward (1) clearly stating both definitions, (2) at least one specific extension Brønsted-Lowry accounts for that Arrhenius cannot.

Practice questions

Original practice questions graded from foundation to exam level, each with a full worked solution. Try them before revealing the solution.

foundation3 marksFor the reaction H2S+H2OHS+H3O+H_2S + H_2O \rightleftharpoons HS^- + H_3O^+, identify the Brønsted-Lowry acid and base in the forward direction, and state the two conjugate acid-base pairs.
Show worked solution →

A 3-mark identify needs the correct acid/base labels plus both conjugate pairs.

Forward direction. H2SH_2S donates a proton to become HSHS^-, so H2SH_2S is the Brønsted-Lowry acid. Water accepts that proton to become H3O+H_3O^+, so H2OH_2O is the Brønsted-Lowry base.

Conjugate pairs. H2S/HSH_2S / HS^- (acid / conjugate base) and H3O+/H2OH_3O^+ / H_2O (conjugate acid / base).

Marking criteria: 1 mark for correctly identifying the acid, 1 mark for correctly identifying the base, 1 mark for both conjugate pairs named correctly (differing by one H+H^+ each).

foundation3 marksWrite two equations showing H2PO4H_2PO_4^- (dihydrogen phosphate ion) acting first as a Brønsted-Lowry acid and then as a Brønsted-Lowry base in water, and explain what property this demonstrates.
Show worked solution →

Acting as an acid (donates H+H^+ to water):

H2PO4(aq)+H2O(l)HPO42(aq)+H3O(aq)+H_2PO_4^-{}_{(aq)} + H_2O_{(l)} \rightleftharpoons HPO_4^{2-}{}_{(aq)} + H_3O^+_{(aq)}

Acting as a base (accepts H+H^+ from water):

H2PO4(aq)+H2O(l)H3PO4(aq)+OH(aq)H_2PO_4^-{}_{(aq)} + H_2O_{(l)} \rightleftharpoons H_3PO_4{}_{(aq)} + OH^-_{(aq)}

Because H2PO4H_2PO_4^- can both donate and accept a proton depending on its partner, it is amphiprotic, in the same way as HCO3HCO_3^- and water itself.

Marking criteria: 1 mark for the correct acid-role equation, 1 mark for the correct base-role equation (both with state symbols), 1 mark for explicitly naming and explaining "amphiprotic".

core4 marksA 0.150 mol sample of a monoprotic Brønsted-Lowry acid, HA, is fully dissociated in enough water to make 500.0 mL of solution. Calculate the resulting [H3O+][H_3O^+] and hence the pH of the solution, to 2 decimal places. (pH=log10[H3O+]pH = -\log_{10}[H_3O^+].)
Show worked solution →

Step 1: write the dissociation equation. A monoprotic acid donates one proton per molecule:

HA(aq)+H2O(l)A(aq)+H3O(aq)+HA_{(aq)} + H_2O_{(l)} \rightarrow A^-_{(aq)} + H_3O^+_{(aq)}

One mole of HA gives one mole of H3O+H_3O^+ when fully dissociated (a strong acid assumption).

Step 2: concentration of HA.

c=nV=0.150 mol0.5000 L=0.300 mol L1c = \frac{n}{V} = \frac{0.150\ \text{mol}}{0.5000\ \text{L}} = 0.300\ \text{mol L}^{-1}

Step 3: [H3O+][H_3O^+]. Full dissociation with a 1:1 mole ratio means:

[H3O+]=0.300 mol L1[H_3O^+] = 0.300\ \text{mol L}^{-1}

Step 4: pH.

pH=log10(0.300)=0.5229pH = -\log_{10}(0.300) = 0.5229

Step 5: round to 2 decimal places (matching the precision requested).

pH=0.52pH = 0.52

Marking criteria: 1 mark for the correct 1:1 dissociation relationship, 1 mark for the correct concentration of HA, 1 mark for correctly equating [H3O+][H_3O^+] to that concentration (full dissociation), 1 mark for the correct pH to 2 decimal places. Note this method assumes HA behaves as a strong (fully dissociating) Brønsted-Lowry acid, as stated in the question.

core5 marksThe titration curve below is an owned illustrative curve for 25.0 mL of a monoprotic Brønsted-Lowry acid solution titrated with 0.100 mol L⁻¹ NaOH, reaching the equivalence point at 20.0 mL of titrant. (a) Identify whether the acid is strong or weak, justifying your answer using a feature of the curve. (b) Explain, in Brønsted-Lowry terms, the proton-transfer reaction occurring at the equivalence point.
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(a) Strong or weak. The curve shows a low, flat initial pH (around pH 1) before the equivalence point, and a very steep, near-vertical jump in pH exactly at the equivalence point (20.0 mL). A weak acid would start at a higher initial pH and show a much more gradual rise (a buffering region) before a smaller, less abrupt jump. The low starting pH plus the large steep jump indicate this is a strong acid.

(b) Proton-transfer reaction at equivalence. At the equivalence point, moles of OHOH^- added exactly equal the initial moles of H3O+H_3O^+ present. In Brønsted-Lowry terms, hydroxide ion (behaving as a Brønsted-Lowry base, accepting a proton) reacts with the hydronium ion (behaving as a Brønsted-Lowry acid, donating a proton):

H3O(aq)++OH(aq)2H2O(l)H_3O^+_{(aq)} + OH^-_{(aq)} \rightarrow 2H_2O_{(l)}

Because the conjugate base of a strong acid is negligibly basic, the resulting solution at equivalence is neutral, pH ≈ 7, matching the curve.

Marking criteria: (a) 1 mark for correctly identifying "strong", 1 mark for justification using BOTH the low starting pH and the steep/large jump. (b) 1 mark for identifying H3O+H_3O^+ as the Brønsted-Lowry acid and OHOH^- as the base, 1 mark for the correct neutralisation equation, 1 mark for linking this to the neutral equivalence pH shown on the curve.

exam6 marksAssess the claim that 'the Brønsted-Lowry theory made the Arrhenius theory obsolete' with reference to the behaviour of ammonia and bicarbonate ion in aqueous and non-aqueous systems.
Show worked solution →

This is a 6-mark ASSESS: markers reward a judgement supported by specific evidence, not a simple description of both theories.

Band 6 PLAN.

  • Thesis: Brønsted-Lowry did not make Arrhenius theory obsolete so much as generalise it; Arrhenius remains correct and useful within its aqueous domain, but Brønsted-Lowry is required to fully explain species like NH3NH_3 and HCO3HCO_3^-.
  • Evidence 1 (ammonia): Arrhenius cannot classify NH3NH_3 as a base directly, since NH3NH_3 contains no OHOH^- to "produce"; only after reacting with water (NH3(aq)+H2O(l)NH4+(aq)+OH(aq)NH_{3(aq)} + H_2O_{(l)} \rightleftharpoons NH_4^+{}_{(aq)} + OH^-_{(aq)}) does Arrhenius indirectly explain the resulting basicity. Brønsted-Lowry explains it directly: NH3NH_3 accepts a proton from water, so it is a base regardless of solvent.
  • Evidence 2 (bicarbonate, amphiprotic behaviour): HCO3HCO_3^- acts as an acid toward OHOH^- and as a base toward H3O+H_3O^+. Arrhenius theory has no mechanism at all for a single species switching roles; Brønsted-Lowry explains both roles with one consistent proton-transfer definition.
  • Evidence 3 (non-aqueous systems): Brønsted-Lowry acid-base chemistry occurs in solvents such as liquid ammonia, where Arrhenius theory (defined only for aqueous solution) cannot apply at all.
  • Judgement: for everyday aqueous strong-acid/strong-base chemistry, Arrhenius's simpler definition is still an accurate special case; therefore Brønsted-Lowry theory extends and subsumes Arrhenius rather than making it "obsolete" in the sense of incorrect.

Model paragraph (excerpt). The Brønsted-Lowry theory is best understood as a generalisation of Arrhenius theory rather than a replacement that renders it wrong. Arrhenius correctly predicts that HClHCl is acidic and NaOHNaOH is basic in water, and Brønsted-Lowry agrees, classifying HClHCl as a proton donor and NaOHNaOH's hydroxide as a proton acceptor. The real gap Arrhenius leaves is species like ammonia and bicarbonate: NH3NH_3 has no hydroxide to "produce" yet is unambiguously basic, and HCO3HCO_3^- behaves as an acid in one reaction and a base in another, a role-switching behaviour ("amphiprotic") that a fixed-ion-production model cannot describe at all. Because the proton-transfer definition covers every case the ion-production definition covers, plus these extra cases, and even extends beyond water to non-aqueous solvents like liquid ammonia, Brønsted-Lowry theory is more accurately described as generalising Arrhenius theory than as making it obsolete.

Marker's note: top-band answers (1) state an explicit judgement (not "both theories are useful" as a non-answer), (2) use at least two specific chemical examples with correct equations, (3) explicitly address the non-aqueous extension, and (4) conclude by characterising the RELATIONSHIP between the theories (generalisation, not obsolescence) rather than simply listing differences.

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