5.1.3(a)-(c) - Brønsted–Lowry acids, bases and Ka

5.1.3(a)-(c) - Brønsted–Lowry acids, bases and Ka

Acids and bases are not just substances with certain formulae. At this level, the important model is proton transfer: an acid gives an H+\mathrm{H^+} to something that can accept it. This lesson builds that model, uses it to write ionic equations for acid reactions, and introduces KaK_a and pKapK_a as ways to describe how far a weak acid dissociates.

The Proton-Transfer Model

In earlier acid-base work, it is useful to say that acids release H+\mathrm{H^+} ions in aqueous solution and alkalis release OH−\mathrm{OH^-} ions. The Brønsted–Lowry model is more general. It asks what happens to the proton.

Brønsted–Lowry Acid

A Brønsted–Lowry acid is a species that donates a proton, H+\mathrm{H^+}, to another species.

Brønsted–Lowry Base

A Brønsted–Lowry base is a species that accepts a proton, H+\mathrm{H^+}, from another species.

This is a model of acid-base behaviour. A model is useful when it explains more situations than the previous one. For example, ammonia does not contain OH−\mathrm{OH^-}, but it can still behave as a base because it accepts a proton:

NH3(aq)+H2O(l)⇌NH4+(aq)+OH−(aq)\mathrm{NH_3(aq) + H_2O(l) \rightleftharpoons NH_4^+(aq) + OH^-(aq)}

In this equation, NH3\mathrm{NH_3} accepts a proton from water, so NH3\mathrm{NH_3} is the Brønsted–Lowry base. Water donates that proton, so water is the Brønsted–Lowry acid in this reaction.

The same species can behave differently in different reactions. Water can accept a proton from a stronger acid, or donate a proton to a stronger base. The role is decided by the proton transfer in the equation, not just by the formula on its own.

Conjugate Pairs and Basicity

When an acid donates a proton, the species left behind is its conjugate base. When a base accepts a proton, the species formed is its conjugate acid.

Conjugate Acid-Base Pair

A conjugate acid-base pair is a pair of species that differ by exactly one proton, H+\mathrm{H^+}.

For ethanoic acid in water:

CH3COOH(aq)+H2O(l)⇌CH3COO−(aq)+H3O+(aq)\mathrm{CH_3COOH(aq) + H_2O(l) \rightleftharpoons CH_3COO^-(aq) + H_3O^+(aq)}

CH3COOH\mathrm{CH_3COOH} donates H+\mathrm{H^+}, so it is an acid. After losing H+\mathrm{H^+}, it becomes CH3COO−\mathrm{CH_3COO^-}, its conjugate base. Water accepts H+\mathrm{H^+}, so water is a base. After accepting H+\mathrm{H^+}, it becomes H3O+\mathrm{H_3O^+}, its conjugate acid.

So the two conjugate pairs are:

acidconjugate base
CH3COOH\mathrm{CH_3COOH}CH3COO−\mathrm{CH_3COO^-}
H3O+\mathrm{H_3O^+}H2O\mathrm{H_2O}

A common OCR trap is to pair species that look similar but do not differ by exactly one H+\mathrm{H^+}. Charges matter. If a neutral molecule loses H+\mathrm{H^+}, the species left is one unit more negative.

Acids can also be described by how many protons each molecule or formula unit can donate.

Monobasic, Dibasic and Tribasic Acids

A monobasic acid can donate one proton per molecule or formula unit. A dibasic acid can donate two. A tribasic acid can donate three.

Examples:

acidbasicityreason
HCl\mathrm{HCl}monobasicone proton can be donated
CH3COOH\mathrm{CH_3COOH}monobasiconly the COOH\mathrm{COOH} proton is acidic
H2SO4\mathrm{H_2SO_4}dibasictwo protons can be donated
H3PO4\mathrm{H_3PO_4}tribasicthree protons can be donated

Do not count every hydrogen atom automatically. Ethanoic acid, CH3COOH\mathrm{CH_3COOH}, contains four H atoms but is monobasic because only one of them is donated as an acidic proton in this chemistry.

A polybasic acid loses protons in successive steps. For phosphoric acid, the sequence is HX3POX4→HX2POX4X−→HPOX4X2−→POX4X3−\ce{H3PO4 -> H2PO4- -> HPO4^2- -> PO4^3-}, with one proton removed at each step. Adjacent species are conjugate pairs; HX3POX4\ce{H3PO4} and POX4X3−\ce{PO4^3-} are not a single conjugate pair because they differ by three protons. Tribasic does not mean all three steps dissociate completely.

HX+\ce{H+} in Acid Reactions

The reacting particle in many acid reactions is H+(aq)\mathrm{H^+(aq)}. Full equations show the acid and salt formulae, but ionic equations show the role of H+\mathrm{H^+} directly.

With reactive metals, acid provides H+\mathrm{H^+}, which is reduced to hydrogen gas:

Mg(s)+2H+(aq)→Mg2+(aq)+H2(g)\mathrm{Mg(s) + 2H^+(aq) \rightarrow Mg^{2+}(aq) + H_2(g)}

This is also a redox reaction because magnesium is oxidised to Mg2+\mathrm{Mg^{2+}}, while H+\mathrm{H^+} is reduced to H2\mathrm{H_2}.

With alkalis, H+\mathrm{H^+} reacts with hydroxide ions to form water:

Net Ionic Equation for Neutralisation

H+(aq)+OH−(aq)→H2O(l)\mathrm{H^+(aq) + OH^-(aq) \rightarrow H_2O(l)}

Metal oxides are bases. The oxide ion accepts protons overall, forming water. For copper(II) oxide reacting with acid, a useful ionic equation is:

CuO(s)+2H+(aq)→Cu2+(aq)+H2O(l)\mathrm{CuO(s) + 2H^+(aq) \rightarrow Cu^{2+}(aq) + H_2O(l)}

Carbonates also behave as bases in acid reactions. The carbonate ion accepts protons overall, and the products include carbon dioxide and water:

CO32−(aq)+2H+(aq)→CO2(g)+H2O(l)\mathrm{CO_3^{2-}(aq) + 2H^+(aq) \rightarrow CO_2(g) + H_2O(l)}

If the carbonate is an insoluble solid, the full ionic equation may show the solid carbonate formula, but the chemical idea is the same: H+\mathrm{H^+} is consumed, and CO2\mathrm{CO_2} is produced.

Worked example: linking a full equation to an ionic equation

Hydrochloric acid reacts with sodium hydroxide:

HCl(aq)+NaOH(aq)→NaCl(aq)+H2O(l)\mathrm{HCl(aq) + NaOH(aq) \rightarrow NaCl(aq) + H_2O(l)}

The reacting ions are H+\mathrm{H^+} and OH−\mathrm{OH^-}. Sodium and chloride ions are spectators, so the net ionic equation is:

H+(aq)+OH−(aq)→H2O(l)\mathrm{H^+(aq) + OH^-(aq) \rightarrow H_2O(l)}

Continue this lesson.

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