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Chemistry

pH from hydrogen ion concentration

The definition. Take the base ten logarithm of the concentration in moles per litre and change its sign, which turns small negative logarithms into the familiar positive pH scale.

The Formula

pH = -log10[H+]

The definition. Take the base ten logarithm of the concentration in moles per litre and change its sign, which turns small negative logarithms into the familiar positive pH scale.

SymbolMeaning
HHydrogen ion concentration
pHpH value

What Each Symbol Means

Hmoles per litre

Hydrogen ion concentration

In moles per litre; 0.001 gives a pH of 3.

pHdimensionless

pH value

Lower means more acidic; 7 is neutral at 25 degrees.

See It Worked With Real Numbers

A formula on its own does not tell you which number goes where. The how to calculate ph page applies this equation to a concrete case, shows every intermediate step, and names the mistakes that produce a wrong answer even when the algebra is right.

Where This Formula Appears

This equation is the working core of How To Calculate pH, filed under Science. Every number the guide produces comes from substituting into this one line.