How the MCAT tests acids and bases

Acid–base chemistry sits in AAMC content category 5A — the unique nature of water and its solutions. It is arguably the most cross-cutting general-chemistry topic: the same math governs blood buffering, the charge on amino acids at a given pH, and drug absorption. Expect quick pH estimates and titration-curve interpretation over grinding calculations.

workspace_premium Why it is so high yield

The bicarbonate buffer, amino-acid pI, and Henderson–Hasselbalch all reuse this one framework. Points here compound across the Chem/Phys and Bio/Biochem sections.

Defining acids and bases

Three definitions build on one another. Arrhenius: acids give H⁺, bases give OH⁻ in water. Brønsted–Lowry (the MCAT default): acids are proton donors, bases are proton acceptors. Lewis: acids accept an electron pair, bases donate one.

HAacid A⁻conjugate base − H⁺ + H⁺ A strong acid has a weak conjugate base (and vice versa). Ka × Kb = Kw.
Conjugate pairs. An acid (HA) donates a proton to become its conjugate base (A⁻). The stronger the acid, the weaker its conjugate base.

A conjugate acid–base pair differs by exactly one proton. Water is amphoteric — it can act as either — which is why it autoionizes: 2H₂O ⇌ H₃O⁺ + OH⁻, with Kw = 1.0 × 10⁻¹⁴ at 25 °C.

pH, pOH, and the water constant

pH measures acidity on a logarithmic scale, so a difference of one pH unit is a tenfold difference in hydrogen-ion concentration.

01234567891011121314 ACIDIC NEUTRAL BASIC lemon (2)water (7)bleach (12.5) Each pH unit is a 10× change in [H⁺]; pH + pOH = 14 at 25 °C.
The pH scale. Below 7 is acidic, 7 is neutral, above 7 is basic (at 25 °C). Because it is logarithmic, pH 3 is 10,000× more acidic than pH 7.
pH = −log[H⁺]Definition of pHAnd pOH = −log[OH⁻]. At 25 °C, pH + pOH = 14, since Kw = [H⁺][OH⁻] = 10⁻¹⁴.
workspace_premium Fast log trick

For [H⁺] = m × 10⁻ⁿ, pH ≈ n − log m. So [H⁺] = 2 × 10⁻³ gives pH ≈ 3 − 0.3 = 2.7. This estimate is usually all the MCAT needs.

Strong vs weak acids and bases

Strength is about the degree of dissociation, not concentration. Strong acids and bases dissociate essentially completely; weak ones reach an equilibrium quantified by Ka (acids) or Kb (bases).

PropertyStrong acidWeak acid
DissociationComplete (~100%)Partial (equilibrium)
[H⁺] from 0.1 M≈ 0.1 M≪ 0.1 M
Described byGoes to completionKa (smaller Ka = weaker)
ExamplesHCl, H₂SO₄, HNO₃CH₃COOH, HF, H₂CO₃

Memorize the six strong acids (HCl, HBr, HI, HNO₃, H₂SO₄, HClO₄); assume anything else is weak.

pKa = −log KaAcid strengthA lower pKa means a stronger acid. pKa also equals the pH at which an acid is half-dissociated.

Buffers and Henderson–Hasselbalch

A buffer is a mixture of a weak acid and its conjugate base that resists pH change when small amounts of acid or base are added. It works because the two components neutralize added base or acid respectively.

pH = pKa + log([A⁻]/[HA])Henderson–HasselbalchWhen [A⁻] = [HA], the log term is zero and pH = pKa — the point of maximum buffering capacity.
functions Worked example — buffer pH

A buffer contains 0.20 M acetic acid (pKa 4.74) and 0.20 M acetate. What is the pH?

  1. Apply Henderson–Hasselbalch: pH = pKa + log([A⁻]/[HA]).
  2. Here [A⁻]/[HA] = 0.20/0.20 = 1, and log 1 = 0.
  3. So pH = pKa + 0 = 4.74.

Answer. pH = 4.74 — a buffer is centered at (and buffers best near) its pKa.

Titration curves

A titration curve plots pH as base (or acid) is added. Its shape reveals whether the analyte is strong or weak and pinpoints the equivalence point.

02468101214 ½ equiv pH = pKa equivalence (pH > 7) buffer region Volume of strong base added → pH →
Weak acid titrated with strong base. The flat buffer region is centered at the half-equivalence point, where pH = pKa; the equivalence point sits above pH 7 because the product is a basic conjugate.
  • Half-equivalence point: half the acid is neutralized, [HA] = [A⁻], so pH = pKa — the easiest way to read a pKa off a graph.
  • Equivalence point: moles of base = moles of acid. Strong–strong → pH 7; weak acid–strong base → pH > 7; strong acid–weak base → pH < 7.
  • Polyprotic acids show one equivalence point per ionizable proton (multiple plateaus).

How to study it — and the traps to avoid

Acid–base rewards fluency with logs and a clear mental map of the titration curve. Build both.

  1. Memorize the strong acids and bases; treat everything else as weak.
  2. Practice fast pH estimates with the n − log m shortcut.
  3. Anchor the titration curve: half-equivalence = pKa, equivalence pH set by the conjugate.
  4. Use Henderson–Hasselbalch for any weak acid/conjugate base mixture.
error Highest-yield trap

The equivalence point of a weak acid–strong base titration is NOT at pH 7. All the acid has been converted to its conjugate base, which is basic, so the equivalence pH is above 7. Only strong–strong titrations hit exactly 7.