CHEM-10.1

Acids & Bases: Properties and Definitions

Learn to classify acids and bases with the Arrhenius and Bronsted-Lowry definitions, spot conjugate acid-base pairs, and tell acid strength apart from concentration.

What you'll do in this lesson

A voice-first session with the Crimsora tutor on Acids & Bases: Properties and Definitions, then targeted practice and FRQs — with the tutor adapting to where you get stuck.

What this lesson covers

Lemon juice tastes sour, drain cleaner feels slippery, and both can ruin your clothes. Chemists stopped classifying substances by taste and touch a long time ago, but those old observations pointed at something real: a whole class of compounds behaves one way, another class behaves the opposite way, and mixing them cancels both behaviors out.

This lesson builds the two definitions you will use for the rest of the unit. The Arrhenius definition looks at what a substance releases in water. The Bronsted-Lowry definition looks at what a substance does with a proton, and it is the more powerful of the two because it explains reactions that never happen in water at all. Along the way you will learn to trace a single hydrogen ion from one molecule to another, name the conjugate pairs that result, and stop confusing a strong acid with a concentrated one — a mix-up that trips up more students than any other idea in this unit.

What Acids and Bases Do Before You Name Them

Long before anyone wrote a definition, chemists sorted substances by behavior. Acids taste sour (citric acid in citrus, acetic acid in vinegar), react with active metals such as zinc and magnesium to release hydrogen gas, react with carbonates to fizz off carbon dioxide, and turn blue litmus paper red. Bases taste bitter, feel slippery because they begin breaking down the oils and proteins in your skin, and turn red litmus paper blue. Both conduct electricity in solution, which is the first real clue about what is happening: they are producing ions.

Never use taste or touch to test a substance in the laboratory. These properties are historical background, not procedures.
PropertyAcidsBases
Taste (historical)SourBitter
FeelSlippery
LitmusBlue turns redRed turns blue
With active metalsProduce H2\text{H}_2 gasNo typical reaction
ConductivityYes, electrolytesYes, electrolytes
The fifth property is the one that matters most: an acid and a base react with each other to destroy both sets of properties, producing a salt and usually water. That mutual cancellation tells you the two categories are chemical opposites, not just two random groups. The definitions in the rest of this lesson exist to explain why the properties in each column travel together, and why mixing the columns cancels them.

The Arrhenius Definition: What You Release in Water

Svante Arrhenius proposed the first modern definition in the 1880s. An Arrhenius acid is a substance that increases the concentration of hydrogen ions, H+\text{H}^+, when dissolved in water. An Arrhenius base is a substance that increases the concentration of hydroxide ions, OH\text{OH}^-, in water.HCl(aq)H+(aq)+Cl(aq)\text{HCl}(aq) \rightarrow \text{H}^+(aq) + \text{Cl}^-(aq)NaOH(aq)Na+(aq)+OH(aq)\text{NaOH}(aq) \rightarrow \text{Na}^+(aq) + \text{OH}^-(aq)This definition is easy to apply: look at the formula. If it starts with an ionizable hydrogen, suspect an acid; if it ends in OH\text{OH} bonded to a metal, suspect a base. It also explains neutralization neatly, because H+\text{H}^+ and OH\text{OH}^- combine to make water.

A bare proton does not float around alone in solution. It attaches to a water molecule to form the hydronium ion, H3O+\text{H}_3\text{O}^+. Writing H+(aq)\text{H}^+(aq) is a shorthand for hydronium, and both notations appear in textbooks.

The Arrhenius definition has two real limits. First, it only works in water. Second, it cannot explain why ammonia, NH3\text{NH}_3, makes a solution basic even though the molecule contains no OH\text{OH} group anywhere. Students often assume ammonia must be an acid because it is full of hydrogen. It is not — and that failure is exactly what pushed chemists toward a broader definition.

The Bronsted-Lowry Definition: Proton Donors and Acceptors

In 1923 Johannes Bronsted and Thomas Lowry independently offered a definition based on transfer instead of release. A Bronsted-Lowry acid is a proton donor. A Bronsted-Lowry base is a proton acceptor. Since a hydrogen atom stripped of its electron is just a proton, "donating a proton" means handing off an H+\text{H}^+.

This definition solves the ammonia problem immediately:NH3+H2ONH4++OH\text{NH}_3 + \text{H}_2\text{O} \rightleftharpoons \text{NH}_4^+ + \text{OH}^-Ammonia accepts a proton from water, so ammonia is the base and water is the acid. Hydroxide appears in solution not because ammonia contained any, but because ammonia took a proton away from water and left hydroxide behind.

Notice what this requires. An acid needs a hydrogen it can release; a base needs a lone pair of electrons to hold the incoming proton. That is why NH3\text{NH}_3, F\text{F}^-, and HCO3\text{HCO}_3^- can all act as bases even though none of them is a hydroxide.
DefinitionAcid isBase isRequires water?
ArrheniusProduces H+\text{H}^+Produces OH\text{OH}^-Yes
Bronsted-LowryDonates a protonAccepts a protonNo
Every Arrhenius acid is also a Bronsted-Lowry acid, but not the reverse. Bronsted-Lowry is the broader category. A substance that can act either way depending on its partner — water is the classic case — is called amphoteric. Water donates a proton to ammonia but accepts one from HCl.

Conjugate Acid-Base Pairs

Because a proton transfer is a two-way street, every Bronsted-Lowry reaction contains two acids and two bases. When an acid donates its proton, what remains is a base — it now has the empty spot and lone pair needed to take a proton back. That remainder is the conjugate base of the acid. When a base accepts a proton, the species formed is the conjugate acid of that base.

The test is mechanical: two species form a conjugate pair if their formulas differ by exactly one H\text{H} and one unit of charge. The member with the extra hydrogen is the acid.HF+H2OF+H3O+\text{HF} + \text{H}_2\text{O} \rightleftharpoons \text{F}^- + \text{H}_3\text{O}^+Here HF and F\text{F}^- are one pair; H2O\text{H}_2\text{O} and H3O+\text{H}_3\text{O}^+ are the other. Label them across the arrow, never on the same side: an acid and its own conjugate base are always on opposite sides of the equation.

Two mistakes show up constantly. The first is pairing the two reactants together, or the two products together — HF with water, or fluoride with hydronium. Those are not conjugate pairs. The second is forgetting the charge change. The conjugate base of H2SO4\text{H}_2\text{SO}_4 is HSO4\text{HSO}_4^-, not SO42\text{SO}_4^{2-}; you remove one proton at a time. Likewise the conjugate acid of CO32\text{CO}_3^{2-} is HCO3\text{HCO}_3^-, because adding a positive proton raises the charge from 2-2 to 1-1.

Strength Versus Concentration

These two words describe completely different things, and swapping them is the single most common error in this unit.

Strength is about the degree of ionization — what fraction of the acid molecules actually give up their protons in water. A strong acid such as HCl, HNO3\text{HNO}_3, or H2SO4\text{H}_2\text{SO}_4 ionizes essentially completely; put 100 HCl molecules in water and you get about 100 hydronium ions. A weak acid such as acetic acid or HF ionizes only slightly, reaching an equilibrium where most molecules remain intact. That is why strong acids are written with a single arrow and weak acids with a double arrow.

Concentration is about how much solute is dissolved per liter of solution — molarity. It is a recipe measurement, and it applies to strong and weak acids alike.
TermWhat it measuresOppositeCan you change it by adding water?
Strong / weakPercent ionizationWeak / strongNo
Concentrated / diluteMoles per literDilute / concentratedYes
So a 0.001 M solution of hydrochloric acid is a dilute strong acid, and 15 M acetic acid is a concentrated weak acid. Diluting hydrochloric acid never converts it into a weak acid; it is still fully ionized, there is just less of it per liter. Strength is a property of the substance itself, concentration is a property of the particular solution you prepared. Both affect the hydronium concentration, which is why you need both ideas before the pH scale makes sense.

Key terms

Arrhenius acid.
A substance that increases the concentration of hydrogen ions, H+\text{H}^+ (as hydronium), when dissolved in water.
Arrhenius base.
A substance that increases the concentration of hydroxide ions, OH\text{OH}^-, when dissolved in water.
Bronsted-Lowry acid.
A proton donor — any species that transfers an H+\text{H}^+ to another species, in water or not.
Bronsted-Lowry base.
A proton acceptor — a species with a lone pair available to bond an incoming H+\text{H}^+.
Conjugate base.
The species left after an acid donates its proton; it has one fewer H and one more negative charge than the acid.
Conjugate acid.
The species formed after a base accepts a proton; it has one more H and one more positive charge than the base.
Amphoteric.
Able to act as either an acid or a base depending on the reaction partner; water is the standard example.
Strong acid.
An acid that ionizes essentially completely in water, so nearly every molecule releases its proton; contrast with a weak acid, which only partly ionizes.

Worked example

For the reaction HCO3(aq)+HF(aq)H2CO3(aq)+F(aq)\text{HCO}_3^-(aq) + \text{HF}(aq) \rightleftharpoons \text{H}_2\text{CO}_3(aq) + \text{F}^-(aq), identify the Bronsted-Lowry acid and base among the reactants, name the two conjugate acid-base pairs, and explain why the Arrhenius definition cannot classify the bicarbonate ion here.
Step 1: Track the hydrogen. Compare each reactant with its counterpart on the product side. Bicarbonate, HCO3\text{HCO}_3^-, becomes H2CO3\text{H}_2\text{CO}_3 — it gained one H and its charge went from 1-1 to 00. Hydrofluoric acid, HF, becomes F\text{F}^- — it lost one H and its charge went from 00 to 1-1.

Step 2: Assign roles. The species that lost the proton is the donor, so HF is the Bronsted-Lowry acid. The species that gained the proton is the acceptor, so HCO3\text{HCO}_3^- is the Bronsted-Lowry base.

Step 3: Build the pairs across the arrow. HF donated, so what remains, F\text{F}^-, is its conjugate base. Pair one is HF and F\text{F}^-. Bicarbonate accepted, so the product H2CO3\text{H}_2\text{CO}_3 is its conjugate acid. Pair two is HCO3\text{HCO}_3^- and H2CO3\text{H}_2\text{CO}_3. Check both pairs: each differs by exactly one H and one unit of charge.

Step 4: Address the Arrhenius question. Bicarbonate contains no OH\text{OH} group to release, so the Arrhenius definition offers no way to call it a base. It also has a hydrogen, which might tempt you to call it an acid. Only the proton-transfer view captures what it actually does in this reaction: it accepts a proton and therefore acts as a base.

Common error to avoid: pairing HCO3\text{HCO}_3^- with F\text{F}^- because both are on opposite sides and both are negative. Conjugate partners must differ by one hydrogen, and those two differ by an entire carbon and three oxygens.

Practice questions

Which statement correctly describes a 12 M solution of acetic acid, CH3COOH\text{CH}_3\text{COOH}?
  1. It is a concentrated strong acid because the molarity is high.
  2. It is a concentrated weak acid because only a small fraction of the molecules ionize.
  3. It is a dilute weak acid because acetic acid barely ionizes.
  4. It is a strong acid that becomes weak when diluted with water.

Answer: It is a concentrated weak acid because only a small fraction of the molecules ionize.

Molarity and strength answer different questions. 12 M is a large amount of solute per liter, so the solution is concentrated. Acetic acid ionizes only partially no matter how much of it you dissolve, so the substance is a weak acid. The last option restates the most common misconception in the unit: dilution changes concentration, never strength, because strength depends on the bonding in the molecule rather than on how much water surrounds it.
Write the conjugate base of H2PO4\text{H}_2\text{PO}_4^- and the conjugate acid of H2PO4\text{H}_2\text{PO}_4^-, and state what property of this ion your two answers demonstrate.

Answer: Conjugate base: HPO42\text{HPO}_4^{2-}. Conjugate acid: H3PO4\text{H}_3\text{PO}_4. The ion is amphoteric — it can either donate or accept a proton.

To get the conjugate base, remove one H+\text{H}^+: subtract one hydrogen and make the charge one unit more negative, taking 1-1 to 2-2, giving HPO42\text{HPO}_4^{2-}. To get the conjugate acid, add one H+\text{H}^+: add one hydrogen and make the charge one unit more positive, taking 1-1 to 00, giving H3PO4\text{H}_3\text{PO}_4. Because the same species can do both, it is amphoteric, exactly like water. Students often strip off two hydrogens at once and answer PO43\text{PO}_4^{3-}; conjugate relationships always involve exactly one proton.
Ammonia dissolved in water produces a basic solution even though the NH3\text{NH}_3 molecule contains no hydroxide. Explain this using the Bronsted-Lowry definition, and write the balanced equation.

Answer: NH3+H2ONH4++OH\text{NH}_3 + \text{H}_2\text{O} \rightleftharpoons \text{NH}_4^+ + \text{OH}^-. Ammonia accepts a proton from water, acting as a Bronsted-Lowry base; the hydroxide comes from the water molecule that was stripped of its proton, not from the ammonia.

The Arrhenius definition demands that a base supply hydroxide directly, which ammonia cannot do. The Bronsted-Lowry definition only requires that a base accept a proton, and the nitrogen lone pair on NH3\text{NH}_3 does exactly that. The leftover fragment of the water molecule is OH\text{OH}^-, which is why the solution tests basic. Water is acting as the acid here, which is a good reminder that water is amphoteric.

FAQ

Is every Bronsted-Lowry acid also an Arrhenius acid?
No, and the direction matters. Every Arrhenius acid is a Bronsted-Lowry acid, because releasing H+\text{H}^+ into water is a proton donation to water. The reverse fails: HCl gas donating a proton to ammonia gas is a Bronsted-Lowry acid-base reaction with no water and no solution at all, so the Arrhenius definition does not apply. Think of Bronsted-Lowry as the larger circle that contains Arrhenius inside it.
How do I tell a conjugate pair from any two species in the equation?
Compare formulas. Two species are a conjugate pair only if they differ by exactly one hydrogen atom and one unit of charge, and only if they sit on opposite sides of the arrow. If the two species differ by two hydrogens, by an oxygen, or by anything else, they are not a pair. Reactants are never paired with each other, and products are never paired with each other.
Can a dilute acid still be dangerous?
Yes. A dilute solution of a strong acid can still have a high enough hydronium concentration to burn skin, and concentrated weak acids such as glacial acetic acid are corrosive as well. Strength describes the fraction that ionizes and concentration describes how much is present; hazard depends on both, plus the specific chemistry of the acid. Always use the safety procedures your teacher specifies rather than judging by the label alone.
Why do chemists write H3O+\text{H}_3\text{O}^+ instead of H+\text{H}^+?
A hydrogen ion is a bare proton, and a bare proton is far too reactive to exist alone in water. It immediately bonds to the lone pair on a water molecule to form the hydronium ion. Writing H+(aq)\text{H}^+(aq) is an accepted shorthand for the same thing, so both notations mean the same physical species. Using H3O+\text{H}_3\text{O}^+ makes the proton transfer visible, which is why it appears in Bronsted-Lowry equations.

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