Acids, Bases, and pH Study Pack

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Last updated May 27, 2026

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Acids, Bases, and pH Study Guide

Master the Brønsted-Lowry theory of proton donors and acceptors, conjugate acid-base pairs, and the amphoteric nature of water. From autoionization and pH calculations to Ka, Kb, and strong vs. weak dissociation, this pack covers the core mechanics of acid-base chemistry.

Key Takeaways

  • Brønsted-Lowry theory defines acids as proton (H⁺) donors and bases as proton acceptors, allowing acid-base behavior to be described in any solvent, not just water.
  • Every Brønsted-Lowry acid-base reaction produces a conjugate base (from the acid) and a conjugate acid (from the base), forming conjugate acid-base pairs.
  • Water is amphoteric — it can donate or accept protons depending on its reaction partner, acting as either an acid or a base.
  • The autoionization of water produces equal concentrations of H₃O⁺ and OH⁻ at 25 °C, each at 1.0 × 10⁻⁷ M, giving pure water a pH of exactly 7.
  • pH is defined as the negative base-10 logarithm of the hydronium ion concentration: pH = −log[H₃O⁺]; values below 7 indicate acidic solutions and values above 7 indicate basic solutions.
  • Strong acids and strong bases dissociate completely in water, while weak acids and weak bases establish equilibria described by Ka and Kb, respectively.
  • The acid dissociation constant Ka measures acid strength quantitatively — a higher Ka means a stronger acid that more readily donates protons.

Defining Acids and Bases: The Brønsted-Lowry Model

The Brønsted-Lowry model, proposed independently by Johannes Brønsted and Thomas Lowry in 1923, provides the most widely used framework for understanding acid-base chemistry at the molecular level.

Core Definitions in Brønsted-Lowry Theory

  • A Brønsted-Lowry acid is any species that donates a proton (H⁺) to another species during a chemical reaction.
  • A Brønsted-Lowry base is any species that accepts a proton from an acid.
  • Because a proton cannot exist freely in solution, every acid donation requires a base to receive it — acid-base reactions always occur in matched pairs.

Contrast with the Arrhenius Model

  • The earlier Arrhenius model restricted acids to substances that release H⁺ in water and bases to substances that release OH⁻ in water.
  • Brønsted-Lowry expands this scope: ammonia (NH₃) qualifies as a base because it accepts protons, even though it contains no OH⁻.
  • This broader definition allows acid-base chemistry to be analyzed in non-aqueous solvents and explains reactions the Arrhenius model cannot.

Conjugate Acid-Base Pairs and Proton Transfer

When an acid donates a proton, the species it becomes is called its conjugate base; when a base accepts a proton, the species it becomes is called its conjugate acid — these paired relationships are central to tracking proton movement in any reaction.

Formation of Conjugate Pairs

  • After HCl donates H⁺ to water, HCl becomes Cl⁻ — the conjugate base of HCl.
  • Water accepts that H⁺ to become H₃O⁺ (hydronium ion) — the conjugate acid of water.
  • Every Brønsted-Lowry reaction contains exactly two conjugate pairs: the original acid/its conjugate base, and the original base/its conjugate acid.

Relative Strength Within a Conjugate Pair

  • A strong acid (one that donates protons readily) always has a weak conjugate base (one that holds protons tightly and rarely donates them back).
  • Conversely, a weak acid has a relatively strong conjugate base.
  • This inverse relationship means that if you know the strength of an acid, you can immediately infer the strength of its conjugate base.

Amphoteric Species

  • Water is the classic amphoteric species — it acts as a base when reacting with HCl (accepting H⁺ to form H₃O⁺) and as an acid when reacting with NH₃ (donating H⁺ to form OH⁻ and NH₄⁺).
  • The bicarbonate ion (HCO₃⁻) is another common amphoteric species, capable of donating or accepting a proton depending on its reaction partner.

Water Autoionization and the Ion-Product Constant

Even in pure water, a small fraction of molecules transfer protons to one another in a process called autoionization, which establishes the baseline relationship between H₃O⁺ and OH⁻ concentrations that underlies all aqueous acid-base chemistry.

The Autoionization Equilibrium

  • Two water molecules can react so that one acts as the acid (donating H⁺) and the other acts as the base (accepting H⁺), producing one H₃O⁺ ion and one OH⁻ ion.
  • This equilibrium is written: 2 H₂O ⇌ H₃O⁺ + OH⁻.
  • At 25 °C, the equilibrium lies far to the left; only about 1 in 10 million water molecules is ionized at any moment.

The Ion-Product Constant for Water (Kw)

  • The equilibrium expression for autoionization gives Kw = [H₃O⁺][OH⁻].
  • At 25 °C, Kw = 1.0 × 10⁻¹⁴; in pure water, both [H₃O⁺] and [OH⁻] equal 1.0 × 10⁻⁷ M.
  • Kw holds for any dilute aqueous solution at 25 °C — if acid is added and [H₃O⁺] rises above 1.0 × 10⁻⁷ M, [OH⁻] must fall proportionally to keep the product equal to 1.0 × 10⁻¹⁴.
  • Kw increases with temperature, meaning hot water is slightly more ionized than cold water.

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