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pH & pOH Calculator

Convert between pH, pOH, [H⁺] and [OH⁻], or work out the pH of a weak acid from its concentration and Ka — and the reverse.

Acid-BaseEquilibriumLogarithms
Inputs
Calculation
In “pH ↔ concentrations”, click Use on the value you know; the other three follow (at 25 °C).
Input examples

What is pH?

pH measures how acidic a solution is: it is minus the logarithm of the hydrogen-ion concentration. Because the scale is logarithmic, each step of 1 is a tenfold change — pH 3 is ten times more acidic than pH 4.

Water always contains a little H⁺ and OH⁻, and at 25 °C their product is fixed: [H⁺][OH⁻] = 10−14. That is why pH + pOH = 14. A weak acid only partly splits into ions; its Ka tells you how much.

pH < 7acidic
pH = 7neutral (25 °C)
pH > 7basic (alkaline)
ΔpH = 110× the [H⁺]

pH Scale

pH 3
acidic
neutral
basic
▼ your solution
Result
Enter a value above

Common Substances

SubstancepH[H⁺] (mol/L)
Battery acid0–11
Stomach acid1.5–3.510−2
Lemon juice210−2
Black coffee510−5
Pure water (25 °C)710−7
Blood7.35–7.454×10−8
Seawater8.18×10−9
Household ammonia11.63×10−12
Bleach12.53×10−13

Key Relations

From pH to Concentration

Undo the logarithm with a power of ten. A strong acid such as HCl splits completely, so [H⁺] simply equals its concentration.

Example: 
Weak Acid Equilibrium

Here x = [H⁺] = [A⁻]. The exact quadratic solution is used; the common shortcut x ≈ √(KaC) works when less than 5% dissociates.

Example: 
pKa

A smaller pKa means a stronger acid. At pH = pKa exactly half of the acid is dissociated — the centre of a buffer.

Example: 

Sources & Verification

References
  1. S. S. Zumdahl & S. A. Zumdahl, Chemistry, 10th ed., Cengage, 2018 — Ch. 14 (Acids and Bases) and Ch. 15 (Acid–Base Equilibria).