pH Calculator

pH and pOH from hydrogen ion concentration — or concentration from pH.

pH Calculator

Pure water is 1e-7 mol/L. Ignored in '[H⁺] from pH' mode.
Only used in '[H⁺] from pH' mode.
Worked example result
pH7.000
pOH7.000
[H⁺] concentration0.0000001000 mol/L
[H⁺] (scientific notation)1.000e-7 mol/L
Solution isNeutral

Pure water with [H⁺] = 1×10⁻⁷ mol/L has pH 7.00 and pOH 7.00 — neutral.

pH measures acidity on a logarithmic scale: pH = −log₁₀[H⁺], where [H⁺] is the hydrogen ion concentration in mol/L. Each pH unit is a tenfold change in concentration.

Enter a concentration (scientific notation such as 1e-7 is fine) to get pH, pOH and whether the solution is acidic, neutral or alkaline at 25 °C, where pH + pOH = 14. Reverse mode converts a pH value back to [H⁺].

The formula

pH = −log₁₀[H⁺]; pOH = 14 − pH; [H⁺] = 10^(−pH) (at 25 °C)

Worked example

Pure water with [H⁺] = 1×10⁻⁷ mol/L has pH 7.00 and pOH 7.00 — neutral.

The example is pre-loaded in the result panel — press Calculate with your own numbers to replace it.

Frequently asked questions

Why is the pH scale logarithmic?

Concentrations span many orders of magnitude (from over 1 mol/L to below 10⁻¹⁴). A log scale compresses that range into the familiar 0–14 window; one pH unit always means a factor of ten.

Can pH be below 0 or above 14?

Yes, for very concentrated strong acids or bases — for example 10 mol/L HCl has pH ≈ −1. The 0–14 range simply covers most dilute aqueous solutions at 25 °C.

Category: Science calculators