pH Calculator

pH measures acidity on a log scale: each step is a tenfold change in hydrogen ion concentration. Below 7 is acidic, above 7 basic.

Concentrations in mol/L. Scientific notation works: 1e-5.
Results update as you type.

pH

3

acidic

pOH
11
[H⁺]
0.001 mol/L
[OH⁻]
1 × 10^-11 mol/L

Uses Kw = 1.0 × 10⁻¹⁴ (25 °C) and concentrations in place of activities, which is accurate for dilute solutions.

About this calculator

Weak acids such as acetic acid only partly ionise; give the concentration and Ka to solve the equilibrium.

How to use it

  1. Choose what you know.
  2. Enter the value.
  3. Read pH, pOH and both concentrations.

The formula

pH = −log₁₀[H⁺]; pH + pOH = 14; weak acid: [H⁺] = (−Ka + √(Ka² + 4Ka·C)) ÷ 2
[H⁺]
hydrogen ion concentration, mol/L
Ka
acid dissociation constant

Worked example

0.1 M acetic acid, Ka = 1.8 × 10⁻⁵

  1. [H⁺] = 1.33 × 10⁻³ mol/L.
  2. pH = 2.88; only 1.3% of the acid ionises.

What the result means

Lemon juice is about pH 2, pure water 7, baking soda solution about 8.3 and bleach about 12.

Assumptions

  • 25 °C, where Kw = 1.0 × 10⁻¹⁴.

Limitations

  • Very concentrated solutions need activities rather than concentrations.

Frequently asked questions

What is the pH of 0.01 M HCl?

2, since a strong acid ionises fully.

What is pOH?

−log₁₀[OH⁻]; pH + pOH = 14 at 25 °C.

Can pH be negative?

Yes, for very concentrated strong acids.

Last reviewed on 6 October 2026. Found a mistake? Tell us.