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pH and pOH Explained

By the Periodixy Editorial Team · Last reviewed July 10, 2026

pH measures how acidic or basic a solution is by tracking hydrogen ion concentration on a logarithmic scale from about 0 to 14. pOH does the same for hydroxide ions, and at 25 °C the two always add up to 14.

The scale hides an important surprise: each single step of pH is a factor of ten in acidity.

pH indicator strips showing a range of acidic and basic colours
Photo by Tara Winstead on Pexels

The formulas

pH

pH = −log₁₀[H⁺]

pOH

pOH = −log₁₀[OH⁻]

The 25 °C link

pH + pOH = 14

Square brackets mean “concentration in mol/L”. Pure water at 25 °C has [H⁺] = 1 × 10⁻⁷ M, giving pH = 7 — the neutral point.

Reading the scale

pHMeaningEveryday example
0–2strongly acidicstomach acid, lemon juice
3–6weakly acidicvinegar (≈3), coffee (≈5), rain (≈5.6)
7neutralpure water
8–11weakly basicbaking soda solution (≈8–9), soap
12–14strongly basichousehold ammonia (≈11–12), drain cleaner (≈14)
💡 Tip: Logarithmic means multiplicative: pH 3 is 10× more acidic than pH 4 and 1,000× more acidic than pH 6.

Worked examples

pH from concentration

A solution has [H⁺] = 3.2 × 10⁻⁵ M. Find its pH.

  1. pH = −log(3.2 × 10⁻⁵)
  2. = −(log 3.2 + log 10⁻⁵) = −(0.51 − 5)

Answer: pH ≈ 4.5 — weakly acidic.

pOH to pH

A solution has pOH = 3. What is its pH, and is it acidic or basic?

  1. pH = 14 − pOH = 14 − 3 = 11

Answer: pH 11 — basic. (High pOH would mean acidic; low pOH means basic.)

Check any of these with the pH & pOH Calculator, which shows each conversion step and a visual scale.

Assumptions worth knowing

  • pH + pOH = 14 holds at 25 °C; at other temperatures the sum shifts slightly (Kw changes with temperature).
  • These formulas treat concentration and “activity” as equal — fine for dilute school solutions, adjusted in advanced work.
  • Strong acids are assumed fully dissociated; weak acids (like acetic acid) need equilibrium calculations beyond this scale.

Summary

  • pH = −log[H⁺]; pOH = −log[OH⁻]; at 25 °C, pH + pOH = 14.
  • pH < 7 acidic, pH = 7 neutral, pH > 7 basic.
  • Each pH unit is a 10× change in H⁺ concentration.
  • The simple formulas assume 25 °C and dilute solutions.

Frequently asked questions

Can pH be negative or above 14?

Yes — very concentrated strong acids can push pH slightly below 0, and concentrated strong bases above 14. The 0–14 range simply covers everyday solutions.

What instrument measures pH?

A pH meter (glass electrode) gives precise readings; indicator papers and universal indicator give quick colour estimates.

Why does pH + pOH equal 14?

Water self-ionises: H₂O ⇌ H⁺ + OH⁻ with Kw = [H⁺][OH⁻] = 10⁻¹⁴ at 25 °C. Taking −log of both sides turns that product into a sum equal to 14.

Practise with these tools

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