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ChemistryDifficulty 2-4

pH

pH is a number that expresses how acidic or basic a water-based solution is. It is the negative base-10 logarithm of the hydronium ion concentration, so each step of one pH unit is a tenfold change. At 25 °C a neutral solution has pH 7, acidic solutions are below 7 and basic solutions above 7; the neutral point itself shifts with temperature.

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Temperature and the neutral point

Water's self-ionisation is endothermic, so Kw rises with temperature: IAPWS gives pKw = 14.95 at 0 °C, 13.99 at 25 °C and 12.25 at 100 °C. The neutral pH, pKw/2, therefore falls from about 7.47 at 0 °C to about 6.1 at 100 °C (ScienceVerse calculation), passing 6.31 at 80 °C, while pure water remains neutral throughout.

pHneutral=12 pKw(T)\mathrm{pH}_{\text{neutral}} = \tfrac{1}{2}\,\mathrm{p}K_w(T)

Neutrality means [H₃O⁺] = [OH⁻], so pH = pOH = pKw/2.

Natural waters

Water in contact with air absorbs CO₂, which raises its hydronium ion concentration to about 2.0 × 10⁻⁶ M — a pH of about 5.70. On a much larger scale, ocean uptake of atmospheric CO₂ is lowering seawater pH.

Common misconception: The simulation's fixed pKw = 14 is a 25 °C assumption, not a universal constant.
Full explanation — the complete reference version every reading depth is based on

The definition

pH=−log⁡10[H3O+],[H3O+]=10−pH\mathrm{pH} = -\log_{10}[\mathrm{H_3O^+}], \qquad [\mathrm{H_3O^+}] = 10^{-\mathrm{pH}}

Concentrations in mol/L. This is exactly what the pH & acid–base simulation computes.

Because pH uses a logarithm, it compresses an enormous range of concentrations into small numbers. Going from pH 7 to pH 6 means ten times more hydronium ions; from pH 7 to pH 4 means a thousand times more.

pH, pOH and neutrality

Water itself ionises very slightly. At 25 °C its ion-product constant is Kw = 1.0 × 10⁻¹⁴, which makes pH + pOH = 14.00. In pure water the hydronium and hydroxide concentrations are equal at 1.0 × 10⁻⁷ M, giving pH 7.00.

pH+pOH=14.00(25 ∘C)\mathrm{pH} + \mathrm{pOH} = 14.00 \quad (25\,^{\circ}\mathrm{C})
  • Acidic (pH < 7 at 25 °C): more H₃O⁺ than OH⁻.
  • Neutral (pH = 7 at 25 °C): equal H₃O⁺ and OH⁻.
  • Basic (pH > 7 at 25 °C): more OH⁻ than H₃O⁺.

Worked examples (ScienceVerse calculations)

  1. 0.1 M hydrochloric acid, a strong acid that ionises essentially completely: [H₃O⁺] = 0.1 M, so pH = −log(0.1) = 1.
  2. 0.1 M sodium hydroxide: [OH⁻] = 0.1 M, pOH = 1, so pH = 14 − 1 = 13 at 25 °C.
  3. Air-saturated water, with [H₃O⁺] ≈ 2.0 × 10⁻⁶ M from dissolved carbon dioxide: pH = −log(2.0 × 10⁻⁶) ≈ 5.70.
Common misconception: 'Neutral means pH 7' is only true at 25 °C. Pure water is about pH 6.31 at 80 °C, and — taking half of IAPWS's pKw values (ScienceVerse calculation) — about 7.5 at 0 °C and 6.1 at 100 °C, yet it is still neutral, because its hydronium and hydroxide concentrations remain equal.
Common misconception: pH 4 is not 'a bit more acidic' than pH 5 — it has ten times the hydronium ion concentration.

Why pH matters

pH affects most chemical and biological processes in water: the optimum for most aquatic organisms is between pH 6.5 and 8. The ocean absorbs about 30 percent of the carbon dioxide released into the atmosphere, and that uptake is lowering the ocean's pH — ocean acidification — which makes it harder for oysters, corals and other shell-builders to form their shells and skeletons.

Info: Real pH meters respond to hydrogen ion activity rather than concentration, so the concentration-based definition used here and in the simulation is an idealisation.

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Content status: published 1 October 2026.

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