pH Calculator

Convert between pH, pOH, hydrogen ion and hydroxide ion concentration at 25 °C.

mol/L

Scientific notation works, e.g. 1e-7

pH

3 pH

[H⁺]
1.0000e-3 mol/L
pOH
11 pOH
[OH⁻]
1.0000e-11 mol/L
Solution is
Acidic

Assumes 25 °C (Kw = 1.0 × 10⁻¹⁴) and ideal behavior (concentration used in place of activity).

How it works

pH is the negative base-10 logarithm of the hydrogen ion concentration in moles per liter. Each whole pH unit is a tenfold change, so pH 3 is ten times more acidic than pH 4.

In water at 25 °C the product [H⁺][OH⁻] equals 1.0 × 10⁻¹⁴, so pH + pOH = 14. Neutral water has pH 7. Lower values are acidic and higher values are basic.

For a strong acid like HCl, [H⁺] equals the acid concentration. Weak acids only partly dissociate, so you need the acid dissociation constant (Ka) to find [H⁺] first.

Formula

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

Questions people ask

What is the pH of 0.01 M HCl?

HCl is a strong acid, so [H⁺] = 0.01 M and pH = −log(0.01) = 2.

Can pH be negative or above 14?

Yes. Very concentrated strong acids can have pH below 0 and concentrated bases above 14, though activity effects make simple concentration-based values less accurate there.

Is neutral always pH 7?

Only at 25 °C. Kw rises with temperature, so pure water at 50 °C has a pH of about 6.6 yet is still neutral because [H⁺] equals [OH⁻].