pH Calculator

One unit is tenfold — lemon juice at pH 2 is ten thousand times more acidic than coffee at pH 6.

Work out
Clear
pH3−log₁₀(1 × 10⁻³)
Hydrogen ion concentration1 × 10⁻³ mol/L
pOH11pKw − pH, where pKw is 14 at 25 °C
Hydroxide concentration1 × 10⁻¹¹ mol/L
Neutral pH at this temperature7the familiar 7, which holds ONLY at 25 °C
Verdictacidicagainst the neutral point for this temperature, not against 7
ONE pH UNIT IS TENFOLDthree units is a thousandfoldlemon juice at pH 2 is ten thousand times more acidic than coffee at pH 6, not three times. This is the single most misread thing about the scale
stomach acidpH 1100× the hydrogen ion concentration of yours
lemon juicepH 2.53.1623× the hydrogen ion concentration of yours
black coffeepH 50.01× the hydrogen ion concentration of yours
pure water at 25 °CpH 70.0001× the hydrogen ion concentration of yours
seawaterpH 8.17.943e-6× the hydrogen ion concentration of yours
household ammoniapH 111.0e-8× the hydrogen ion concentration of yours

The formula

pH = −log₁₀[H⁺]; pH + pOH = pKw, which is 14 only at 25 °C

A logarithm, so the steps are enormous

Each pH unit is a factor of ten in hydrogen ion concentration.

Lemon juice at pH 2 and coffee at pH 6 differ by four units, which is ten thousand times. Reading the scale as though it were linear makes every comparison wrong by orders of magnitude, and it is the commonest misunderstanding in chemistry.

Seven is not neutral in general

Neutral means [H⁺] equals [OH⁻], and where that lands depends on how readily water ionises.

Water ionises more when warm, so neutral pH falls to about 6.6 at 50 °C and 6.1 at 100 °C. Water at 6.6 and 50 °C is exactly neutral and would read as acidic to anyone who had memorised the seven.

The scale is not bounded at 0 and 14

Those are simply where common aqueous solutions sit.

Concentrated strong acids reach negative pH and concentrated bases exceed 14. Nothing in the definition stops them; the range is a convention of everyday chemistry rather than a limit of the mathematics.

Standard atomic weights are averages

The masses used here are weighted means over the isotopes found naturally on Earth, which is why chlorine is 35.45 rather than a whole number.

For work with a specific isotope, or with material from an unusual source, the isotopic mass is the right figure and it is not this one.