All subjects · Chemistry · WCH14 (Unit 4)

Brønsted-Lowry acids and the pH scale

At A2, acids and bases are defined by proton transfer, and acidity is measured on the logarithmic pH scale. This lesson covers strong acids; weak acids follow next.

Brønsted-Lowry theory (spec 14.1, 14.2)

HCl + H2O -> Cl- + H3O+ (HCl/Cl- and H3O+/H2O)

NH3 + H2O ⇌ NH4+ + OH- (NH4+/NH3 and H2O/OH-)

Water can act as an acid or a base.

pH (spec 14.3 to 14.5)

pH = -log10[H+] and [H+] = 10-pH.

Each pH unit is a factor of 10 in [H+]: pH 2 has ten times the [H+] of pH 3. Give pH to 2 decimal places.

Strong acids (spec 14.6, 14.7)

A strong acid dissociates fully in water: HCl -> H+ + Cl-. A weak acid dissociates only partly: CH3COOH ⇌ CH3COO- + H+. Strength (degree of dissociation) is not the same as concentration.

For a strong monoprotic acid, [H+] = concentration of the acid, so 0.0100 mol dm-3 HCl has pH 2.00. Diluting a strong acid ten times raises its pH by 1.

Worked example

Find the pH of 0.0250 mol dm-3 hydrochloric acid, and [H+] in a solution of pH 3.40.

  1. HCl is strong: [H+] = 0.0250 mol dm-3
  2. pH = -log10(0.0250) = 1.60
  3. [H+] = 10-3.40

Answer: pH = 1.60; [H+] = 3.98 x 10-4 mol dm-3

Key idea: Acid = proton donor, base = proton acceptor; conjugate pairs differ by H+. pH = -log10[H+]. Strong acids dissociate fully, so [H+] = [acid] for HCl.

Check yourself

  1. What is the conjugate base of H2SO4?
    • SO42-
    • H3SO4+
    • HSO4-
    • H2O
    Show answer

    HSO4-. Remove one H+ from H2SO4.

  2. In the forward reaction of NH3 + H2O ⇌ NH4+ + OH-, which species acts as a Brønsted-Lowry acid?
    • H2O
    • NH3
    • OH-
    • Neither reactant, as no proton moves
    Show answer

    H2O. Water donates a proton to ammonia in the forward reaction.

  3. Calculate the pH of 0.0400 mol dm-3 hydrochloric acid.
    Show answer

    1.40. pH = -log10(0.0400) = 1.40.

  4. A solution has pH 3.40. Calculate [H+].
    Show answer

    0.000398 mol dm-3. [H+] = 10-3.40 = 3.98 x 10-4 mol dm-3.

  5. What is meant by a strong acid?
    • A concentrated acid
    • An acid with a high pH
    • An acid that reacts with metals
    • An acid that dissociates fully in water
    Show answer

    An acid that dissociates fully in water. Strength describes the degree of dissociation, not concentration.

  6. A strong acid of pH 1.50 is diluted by a factor of 100. What is the new pH?
    Show answer

    3.50. [H+] falls by 100 = 102, so pH rises by 2 to 3.50.

  7. Which pair is a conjugate acid-base pair?
    • HCl and OH-
    • H3O+ and OH-
    • H2SO4 and SO42-
    • NH4+ and NH3
    Show answer

    NH4+ and NH3. NH4+ and NH3 differ by exactly one proton.

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Last updated 7 November 2026. Spotted a mistake? Tell us.