pH Calculator

Choose what you know, enter the concentration in mol/L and get pH, pOH, [H+] and [OH-] at 25 C, where Kw = 1.0 × 10^-14.

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Formula

  • pH = -log10[H+]
  • pOH = -log10[OH-]
  • pH + pOH = 14 at 25 C, because Kw = [H+][OH-] = 1.0 × 10^-14
  • Strong acid or base: [H+] (or [OH-]) = concentration × ions released per formula unit

Worked example

[H+] = 0.001 mol/L: pH = -log10(0.001) = 3. Then pOH = 14 - 3 = 11 and [OH-] = 1.0 × 10^-11 mol/L.

A 0.05 mol/L strong acid releasing 2 H+: [H+] = 0.1 mol/L, so pH = 1.

Frequently asked questions

How do you calculate pH?

pH = -log10[H+], with [H+] in mol/L. For [H+] = 1.0 × 10^-3 mol/L, pH = 3.

How do you find pH from [OH-]?

First pOH = -log10[OH-], then pH = 14 - pOH at 25 C. For [OH-] = 0.01 mol/L, pOH = 2 and pH = 12.

What is the pH of a strong acid or base?

A strong acid dissociates completely, so [H+] equals its concentration times the H+ it releases. 0.05 mol/L of an acid releasing 2 H+ gives [H+] = 0.1 mol/L and pH 1. A strong base works the same way through pOH.

Why does this use 14?

At 25 C the ion product of water is Kw = 1.0 × 10^-14, so pH + pOH = 14. At other temperatures Kw changes, and so does the neutral pH. Very dilute solutions below about 10^-6 mol/L are also affected by the water itself, which this simple model ignores.