pH Calculator

Convert between hydrogen ion concentration, pH, and pOH values. Accurately calculate the pH of acid and base solutions with this free online pH calculator.

How to Use

  1. Choose input type

    Select whether to enter pH, pOH, [H⁺] concentration, or [OH⁻] concentration.

  2. Enter value

    Input the numeric value for your selected parameter.

  3. View results

    Click Calculate to see pH, pOH, [H⁺], and [OH⁻] values.

What is pH?

pH is the negative base-10 logarithm of the hydrogen ion concentration ([H⁺]) in an aqueous solution, a scale that expresses in a single number how acidic or basic a solution is. The term comes from 'power of Hydrogen' and the value typically falls between 0 and 14.

Because it is a logarithmic scale, a decrease of 1 pH unit means [H⁺] increases exactly tenfold. In other words, a pH 4 solution has 10 times more hydrogen ions than a pH 5 solution and 100 times more than a pH 6 solution.

Where is it used?

  • Acid–base titrations and equilibrium analysis in chemistry experiments
  • Water quality testing, soil acidity management, pool and aquarium maintenance
  • Understanding biological pH homeostasis such as blood and stomach acid

Enter just one of the four values — pH, pOH, [H⁺], or [OH⁻] — and this calculator converts all the rest and even tells you whether the solution is acidic, neutral, or basic.

Formula

The two core formulas are as follows.

pH = -log₁₀[H⁺]
pH + pOH = 14 (at 25°C)

Here [H⁺] is the hydrogen ion concentration (mol/L) and [OH⁻] is the hydroxide ion concentration, with [H⁺] = 10^(-pH) used for the reverse calculation.

Example: [H⁺] = 1×10⁻³ mol/L

  • pH = -log₁₀(1×10⁻³) = 3
  • pOH = 14 - 3 = 11
  • [OH⁻] = 10^(-11) = 1×10⁻¹¹ mol/L

Since the pH is below 7, this solution is classified as acidic.

Frequently Asked Questions

What is pH?
pH is a scale that expresses the hydrogen ion concentration ([H⁺]) of an aqueous solution, defined as pH = -log₁₀[H⁺]. It ranges from 0 to 14: below 7 is acidic, 7 is neutral, and above 7 is basic.
How do I tell whether a solution is acidic or basic?
A pH below 7 is acidic, exactly 7 is neutral, and above 7 is basic (alkaline). The lower the pH, the stronger the acidity; the higher the pH, the stronger the basicity.
What is the relationship between pH and pOH?
At 25°C, pH + pOH = 14. If you know the pH you can find pOH = 14 - pH, and vice versa. The sum is 14 because the ion product of water is Kw = [H⁺][OH⁻] = 1×10⁻¹⁴.
How much does acidity change for a difference of 1 pH unit?
Because pH is a logarithmic scale, each drop of 1 unit increases the hydrogen ion concentration tenfold. So a pH 3 solution has 100 times more hydrogen ions than a pH 5 solution, making it 100 times more acidic.
How does pH calculation differ for strong vs. weak acids?
Strong acids (such as HCl) fully ionize in water, so [H⁺] equals the acid concentration directly. Weak acids (such as acetic acid) only partially ionize, requiring an equilibrium calculation using the acid dissociation constant (Ka); at the same concentration, a weak acid has a higher pH than a strong acid.
What are the pH values of everyday substances?
Stomach acid is about pH 1–2, lemon juice about pH 2, vinegar about pH 3, pure water pH 7, baking soda solution about pH 8.3, and bleach about pH 12.5.
Can pH be below 0 or above 14?
Yes. The 0–14 range is just a convenient scale for ordinary dilute solutions; very concentrated strong acids can have a negative pH and concentrated strong bases can exceed 14. The formula pH = -log₁₀[H⁺] itself has no upper or lower bound.
Does temperature affect pH?
Yes. pH + pOH = 14 holds at 25°C; as temperature rises, the ion product of water Kw increases and the neutral pH drops below 7. For example, pure water at 50°C has a neutral pH of about 6.6.
2026 physical constants

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