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Acids, bases and redox

Strong and weak acids and bases, neutralisation and its net ionic equation, oxidation numbers, what is oxidised and what is reduced, and balancing by half-reactions in acid and in base.

Chapter 4, part 2

Acid-base reactions and redox reactions, from slides 16 to 29 of the Chapter 4 partial notes and the second lecture video.

Homework: Classifying Chemical Reactions, in the Chapter 4 folder, covers both.

Two more kinds of reaction in water. In an acid-base reaction an H⁺ moves from the acid to the base. In a redox reaction electrons move from one substance to another, and oxidation numbers keep track of where they went.

What an acid and a base are

Arrhenius acid

Gives H⁺ ions (H₃O⁺) in water.

Arrhenius base

Gives OH⁻ ions in water.

Brønsted acid

A proton donor: it gives away an H⁺.

Brønsted base

A proton acceptor: it takes an H⁺. Ammonia is one.

Monoprotic and diprotic

A monoprotic acid gives up one H⁺ (HCl, HNO₃); a diprotic acid two (H₂SO₄). H₃PO₄ can give three.

What they do in water

Strong acidHCl(g) + H₂O(l) → H₃O⁺(aq) + Cl⁻(aq)Every molecule gives up its H⁺: the arrow goes one way.
Strong baseNaOH(s) → Na⁺(aq) + OH⁻(aq)It dissociates completely, like any soluble ionic compound.
Weak acidCH₃COOH(aq) + H₂O(l) ⇌ CH₃COO⁻(aq) + H₃O⁺(aq)An equilibrium: only a small share of the molecules ionize at any moment, so it is mostly CH₃COOH.
Weak baseNH₃(g) + H₂O(l) ⇌ NH₄⁺(aq) + OH⁻(aq)Ammonia takes an H⁺ from water, but only partly.

The ones to know

Strong acids, ionize completely
  • HCl, hydrochloric
  • HBr, hydrobromic
  • HI, hydroiodic
  • HNO₃, nitric
  • H₂SO₄, sulfuric
  • HClO₄, perchloric
Weak acids, ionize partly
  • HF, hydrofluoric
  • H₃PO₄, phosphoric
  • CH₃COOH, acetic (or HC₂H₃O₂)

Any acid not on the strong list is weak.

Strong bases
  • NaOH, sodium hydroxide
  • KOH, potassium hydroxide
  • Ca(OH)₂, calcium hydroxide
  • Sr(OH)₂, strontium hydroxide
  • Ba(OH)₂, barium hydroxide
Weak base
  • NH₃, ammonia

Neutralisation

acid + base → salt + water

Driving force

Water forms. H⁺ and OH⁻ join into H₂O molecules, which take the ions out of the solution.

A double displacement

The acid’s H and the base’s metal swap partners.

Where the salt comes from

Its cation comes from the base, its anion from the acid: NaOH and HCl give NaCl.

Strong acid + strong baseHClO₄(aq) + KOH(aq) → KClO₄(aq) + H₂O(l)Net ionic: H⁺(aq) + OH⁻(aq) → H₂O(l). K⁺ and ClO₄⁻ are spectators.
Weak acid + strong baseCH₃COOH(aq) + KOH(aq) → KCH₃COO(aq) + H₂O(l)Net ionic: CH₃COOH(aq) + OH⁻(aq) → CH₃COO⁻(aq) + H₂O(l). The weak acid is mostly molecules, so it stays together.

In an ionic equation, split strong acids, strong bases and soluble salts into ions. Weak acids, ammonia, water and solids stay whole.

Oxidation and reduction

Oxidation

Loss of electrons. The oxidation number goes up.

Reduction

Gain of electrons. The oxidation number goes down.

To remember

LEO the lion says GER: Lose Electrons Oxidation, Gain Electrons Reduction. Or OIL RIG: Oxidation Is Loss, Reduction Is Gain.

The agents

The substance oxidized is always the reducing agent. The substance reduced is always the oxidizing agent.

Oxidation numbers

Each atom gets the charge it would have if every electron were transferred completely. A reaction is redox if the oxidation number of any atom changes: usually single displacements, combinations, decompositions and combustions.

General rules

  1. An atom in its elemental form (Na, O₂, Cl₂): 0.
  2. A monatomic ion: its charge.
  3. The oxidation numbers add up to zero in a compound, and to the charge in a polyatomic ion.

Particular atoms

  1. Group 1A: +1 in all compounds.
  2. Group 2A: +2 in all compounds.
  3. Hydrogen: +1 with nonmetals, −1 with metals and boron.
  4. Fluorine: −1 in all compounds.
  5. Oxygen: −1 in peroxides, −2 in all other compounds except with fluorine.
  6. Group 7A: −1 with metals, with nonmetals except oxygen, and with halogens lower in the group.

Everything else comes from the sum. The notes mark this table “LEARN”.

  1. The oxidation number of sulfur in sulfuric acid. Hydrogen is +1 and oxygen −2, and the compound is neutral:

    2(+1) + x + 4(−2) = 0, so x = +6

  2. Phosphorus burning: P₄(s) + 5O₂(g) → P₄O₁₀(s). Phosphorus goes from 0 to +5, so it is oxidized and P₄ is the reducing agent. Oxygen goes from 0 to −2, so it is reduced and O₂ is the oxidizing agent.

    4x + 10(−2) = 0, so x = +5 in P₄O₁₀

Half-reactions

A redox reaction can be split into the oxidation and the reduction, each written with its electrons so that its charge balances.

OverallCu(s) + 2Ag⁺(aq) → Cu²⁺(aq) + 2Ag(s)
OxidationCu(s) → Cu²⁺(aq) + 2e⁻Copper loses two electrons.
ReductionAg⁺(aq) + e⁻ → Ag(s)Each silver ion gains one; two of them take the two copper gave up.

Balancing by half-reactions

In acidic solution

1. Divide the reaction into two half-reactions.
2. Balance each: atoms other than O and H first, then O by adding H₂O, then H by adding H⁺, then charge by adding electrons.
3. Multiply so the electrons lost equal the electrons gained.
4. Add the half-reactions and simplify.
5. Check the atoms and the charges.

In basic solution

The solution has OH⁻, not H⁺. Balance exactly as in acid, then add as many OH⁻ to both sides as there are H⁺. Each H⁺ + OH⁻ becomes H₂O. Simplify the water and check again.

  1. Balance under basic conditions, slide 29. Nitrogen goes from +3 to −3 (reduced), aluminum from 0 to +3 (oxidized).

    NO₂⁻(aq) + Al(s) → NH₃(g) + AlO₂⁻(aq)

  2. Reduction. Two O on the left, so 2H₂O on the right; that makes 7 H on the right, so 7H⁺ on the left; the charge is then +6 on the left and 0 on the right, so 6e⁻ on the left.

    NO₂⁻ + 7H⁺ + 6e⁻ → NH₃ + 2H₂O

  3. Oxidation. Two H₂O on the left supply the oxygen, 4H⁺ on the right balance the hydrogen, and 3e⁻ on the right balance the charge.

    Al + 2H₂O → AlO₂⁻ + 4H⁺ + 3e⁻

  4. Six electrons against three: double the oxidation, then add the two halves.

    NO₂⁻ + 7H⁺ + 2Al + 4H₂O → NH₃ + 2H₂O + 2AlO₂⁻ + 8H⁺

  5. Simplify: 7H⁺ cancels against 8H⁺, leaving one H⁺ on the right, and 2H₂O against 4H₂O, leaving two on the left.

    NO₂⁻ + 2Al + 2H₂O → NH₃ + 2AlO₂⁻ + H⁺

  6. Basic solution: add one OH⁻ to each side. H⁺ + OH⁻ makes one more water on the right, which cancels one on the left.

    NO₂⁻(aq) + 2Al(s) + H₂O(l) + OH⁻(aq) → NH₃(g) + 2AlO₂⁻(aq)

  7. Check: 1 N, 2 Al, 4 O and 3 H on each side, and a charge of −2 on each side.