pH Calculator

Convert between pH, pOH, hydronium [H₃O⁺] and hydroxide [OH⁻] concentration, and see whether a solution is acidic or basic.

mol/L
For a strong acid like HCl this equals the acid molarity. Scientific notation such as 1.2e-3 is accepted.
pH + pOH = pKw. 14.00 at 25 °C; about 13.26 at 60 °C.

Results

pH
2.92
pOH
11.08
[H₃O⁺]
1.20 × 10⁻³ mol/L
[OH⁻]
8.33 × 10⁻¹² mol/L
Solution is
Acidic

How it’s calculated

pH is the negative base-10 logarithm of the hydronium ion concentration in mol/L; pOH is the same for hydroxide. In water they always add up to pKw, which is 14.00 at 25 °C.

pH = −log₁₀[H₃O⁺] [H₃O⁺] = 10^(−pH) pOH = −log₁₀[OH⁻] [OH⁻] = 10^(−pOH) pH + pOH = pKw = 14.00 (25 °C)

Example (OpenStax Chemistry 2e §14.2, “Calculation of pOH”): 0.0125 M KOH gives [OH⁻] = 0.0125 M, so pOH = −log(0.0125) = 1.903 and pH = 14.00 − 1.903 = 12.10 (basic).

pHMeaning (25 °C)
< 7Acidic
7Neutral
> 7Basic

Frequently asked questions

Can pH be negative?

Yes. A strong acid more concentrated than 1 mol/L has a negative pH; for example [H₃O⁺] = 12 M gives pH ≈ −1.08.

How do I find the pH of a weak acid?

Weak acids only partly ionize, so [H₃O⁺] is less than the acid molarity. Work out [H₃O⁺] from the acid’s Ka first, then enter it here.

Why does pKw change with temperature?

Water’s self-ionization increases as it warms, so neutral water at 60 °C has pH ≈ 6.6 even though it is neither acidic nor basic.

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Sources

Formulas are taken from the free public references above. Results are provided “as is” for informational and educational purposes only. See our disclaimer.

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