Scientific Converters Precise unit conversions for science & engineering.

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    pH Calculator

    A solution with [H⁺] = 0.001 mol/L has a pH of 3, from pH = −log₁₀[H⁺]; it is acidic.

    Given:

    For a strong acid, [H⁺] = concentration × number of acidic H (e.g. 0.01 M HCl → 0.01).

    pH =

    3

    pOH = 14 − pH
    11
    [H⁺]
    0.001 mol/L
    [OH⁻]
    1 × 10⁻¹¹ mol/L
    Solution is
    acidic
    Step-by-step solution
    1. pH = −log₁₀[H⁺] = −log₁₀(0.001)
    2. pH = 3
    3. pOH = 14 − 3 = 11

    pH Formula

    pH = −log₁₀[H⁺], pH + pOH = 14

    [H⁺] hydrogen-ion concentration (mol/L), [OH⁻] hydroxide concentration; pKw = 14 at 25 °C

    Worked Example

    A solution with [H⁺] = 0.001 mol/L (0.001 M HCl):

    1. pH = −log₁₀[H⁺] = −log₁₀(0.001)
    2. pH = 3
    3. pOH = 14 − 3 = 11

    [H⁺]: 0.001 mol/L · [OH⁻]: 1 × 10⁻¹¹ mol/L · Solution is: acidic

    A logarithmic scale

    Each pH unit is a factor of 10 in [H⁺]: pH 3 is ten times more acidic than pH 4 and a thousand times more than pH 6.

    Frequently asked questions

    What is the pH of a strong base?

    Use [OH⁻]: 0.01 M NaOH gives pOH 2 and pH 12. For Ca(OH)₂, double the concentration (two OH⁻ per formula unit).

    Does this work for weak acids?

    Only if you know [H⁺]. For a weak acid of concentration C, [H⁺] ≈ √(Ka × C) when it ionises little; enter that value.

    Is neutral always pH 7?

    Only at 25 °C. Water’s Kw rises with temperature, so pure water at 50 °C has pH about 6.6 while still neutral.

    Sources

    Last reviewed: . Factors are stored exactly and computed with 50-digit decimal arithmetic. See how we verify conversion factors.

    Cite this page

    APA

    Scientific Converters. (2026, October 15). pH Calculator. Retrieved October 25, 2026, from https://scientificconverters.com/calculators/ph-calculator/

    IEEE

    Scientific Converters, "pH Calculator," scientificconverters.com. Accessed: Oct. 25, 2026. [Online]. Available: https://scientificconverters.com/calculators/ph-calculator/

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