Acids, equilibrium & kinetics · HL

pH, pOH & Kw (HL)

Relate pH, pOH and ion concentrations using Kw.

Your values

Number formats & units

Use decimal dots in datasets. Single values also accept decimal commas and scientific notation such as 1.2e-3 or 1.2 × 10⁻³.

pH, pOH & Kw Calculator (HL) inputs

Calculated locally. No account or input upload.

Result & working

Example

The calculator is loading. The worked example is also shown below.

Copy & export

Formula & example

The relationship

Kw=[H+][OH−]K_{\mathrm w}=[\mathrm H^+][\mathrm{OH}^-]
pKw=−log⁡10Kw\mathrm pK_{\mathrm w}=-\log_{10}K_{\mathrm w}
pH+pOH=pKw\mathrm{pH}+\mathrm{pOH}=\mathrm pK_{\mathrm w}
What the variables mean
SymbolMeaning
KwK_{\mathrm w}Ionic product of water at the stated temperature.

Worked example

Given quantity
pH
Given value
3.00
Kw
1e-14

pH = 3

Follow the example steps
  1. pKw = −log₁₀Kw = −log₁₀(1e-14) = 14
  2. pH + pOH = pKw = 14
  3. Kw = [H⁺][OH⁻] = 1e-14

Common mistakes

Use the stated pKw rather than always assuming 14.

Incorrect approach

pKw = 13.6, pH = 7: pOH = 14 − 7 = 7

Correct approach

pOH = 13.6 − 7 = 6.6

More checks before you submit
  • Do not automatically set pH + pOH = 14 unless pKw = 14 for the stated conditions.
Method notes

Using Kw explicitly avoids silently assuming 25 °C when another value is supplied.