Worked example 1
Predict whether solutions of KNO₃, NH₄Br and KCN are acidic, basic or neutral.
Try it first: Split each salt and trace each ion to its parent.
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What you'll be able to do: Predict whether a salt solution is acidic, basic or neutral and calculate its pH.
Dissolving a salt in water can quietly produce an acidic or basic solution. Deciding which requires nothing new, only tracing each ion back to the acid or base it came from.
These are recommended, not required. You can start this lesson at any time.
NaCl, NH₄Cl and NaCH₃COO are all salts, yet their solutions have pH 7.0, about 5.1 and about 8.9 at 0.10 M. The difference lies entirely in which parent acid and base each ion came from.
Na⁺, K⁺, Ca²⁺ and Ba²⁺ come from strong bases and do not react. NH₄⁺ and protonated amines are conjugate acids of weak bases and are acidic. Small, highly charged metal ions such as Al³⁺ and Fe³⁺ polarize their bound water molecules enough to release a proton, making solutions of AlCl₃ noticeably acidic.
Al(H₂O)₆³⁺ + H₂O ⇌ Al(H₂O)₅(OH)²⁺ + H₃O⁺
Cl⁻, Br⁻, I⁻, NO₃⁻ and ClO₄⁻ come from strong acids and are neutral. F⁻, CH₃COO⁻, CN⁻, NO₂⁻ and CO₃²⁻ come from weak acids and are basic. HSO₄⁻ is the odd one out: it is itself a weak acid.
Strong acid + strong base gives neutral (NaCl). Strong acid + weak base gives acidic (NH₄Cl). Weak acid + strong base gives basic (NaF). Weak acid + weak base depends on which constant is larger.
For NH₄CN, compare Ka(NH₄⁺) = 5.6 × 10⁻¹⁰ with Kb(CN⁻) = 2.0 × 10⁻⁵. The base is far stronger, so the solution is basic. For ammonium acetate the two are nearly equal, so the solution is close to neutral.
Once you know which ion reacts, the problem is an ordinary weak acid or weak base calculation. The salt concentration is the initial concentration of the reacting ion, and the needed constant comes from Kw divided by the partner constant.
A cation from a strong base such as Na⁺ usually has negligible acid-base effect, but a small highly charged metal ion can polarize coordinated water and encourage proton release. Al³⁺ in water is present as a hydrated ion, which can hydrolyze; Cl⁻ from strong HCl is a negligible base. Thus AlCl₃ solution can be acidic even though its formula contains no H.
Group 1 and heavy group 2 cations from strong bases.
NH₄⁺, protonated amines, and small highly charged metal ions like Al³⁺ and Fe³⁺.
Conjugate bases of weak acids only.
Compare Ka of the cation with Kb of the anion; the larger one decides.
The salt molarity is the starting concentration of the reacting ion.
Kb = Kw / Ka(parent acid)
Ka = Kw / Kb(parent base)
Predict whether solutions of KNO₃, NH₄Br and KCN are acidic, basic or neutral.
Try it first: Split each salt and trace each ion to its parent.
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Calculate the pH of 0.20 M NH₄Cl. Kb(NH₃) = 1.8 × 10⁻⁵.
Try it first: Identify the reacting ion and find its constant.
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Is a solution of NH₄F acidic or basic? Ka(HF) = 6.8 × 10⁻⁴, Kb(NH₃) = 1.8 × 10⁻⁵.
Try it first: Both ions react, so you need two constants on the same footing.
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Predict whether aqueous AlCl₃ is acidic, basic, or neutral.
Try it first: Assess Al³⁺ and Cl⁻ separately.
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Why it's wrong: Only salts of a strong acid and a strong base are neutral.
Check instead: Classify both ions separately.
Why it's wrong: They are large with low charge density and do not polarize water.
Check instead: Only small highly charged metal ions are acidic.
Why it's wrong: The anion is a base, so it needs Kb = Kw / Ka.
Check instead: Convert before building the ICE table.
Why it's wrong: For a 1:1 salt they are equal, but for K₂CO₃ the cation count differs.
Check instead: Use the formula stoichiometry.
Why it's wrong: Ka is only 5.6 × 10⁻¹⁰, so the effect is mild.
Check instead: Calculate rather than assume.
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Every salt separates into a cation and an anion, and each ion is judged separately. A cation is acidic if it is the conjugate acid of a weak base (such as NH₄⁺) or a small highly charged metal ion (such as Al³⁺ or Fe³⁺) whose hydrated form releases a proton; group 1 and heavier group 2 cations are neutral spectators. An anion is basic if it is the conjugate base of a weak acid, and neutral if it comes from a strong acid. Strong acid with strong base gives a neutral salt, strong acid with weak base gives an acidic salt, and weak acid with strong base gives a basic salt. When both ions react, compare Ka of the cation with Kb of the anion: whichever is larger wins. Quantitatively, look up Ka or Kb for the reacting ion, run the ordinary weak acid or weak base calculation, and remember the salt concentration is the starting concentration of that ion.
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