pH and pOH Calculator

Find the pH and pOH of a solution.

Result

3.52
10.48

How it is calculated

Enter the hydrogen-ion concentration [H⁺] in mol/L (molar). The tool calculates pH = −log₁₀[H⁺] and then pOH = 14 − pH, rounding both to two decimals. The value 14 holds at 25 °C, where the product [H⁺] × [OH⁻] equals 10⁻¹⁴; at other temperatures it is somewhat different, so the pOH is only exact at 25 °C. The concentration must be greater than zero. Very large values are allowed: a concentration above 1 mol/L gives a negative pH (for example 2 mol/L gives −0.30), and the pOH then exceeds 14. The tool takes the concentration you give as the real [H⁺]. It does not work out [H⁺] from an acid's strength, so for weak acids you must find the equilibrium concentration first.

Worked example

A solution has [H⁺] = 0.0003 mol/L (3 × 10⁻⁴). The base-10 logarithm of 0.0003 is about −3.523, so pH = 3.52. Then pOH = 14 − 3.52 = 10.48 (10.477 unrounded). The pH is below 7, so the solution is acidic. A tenfold lower concentration, 0.00003, would raise the pH by exactly one unit to 4.52.

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Common mistakes

  • Typing the pH itself in the concentration field. The field expects the concentration in mol/L, such as 0.001, not 3.
  • Entering the acid concentration of a weak acid such as acetic acid instead of its [H⁺]. Only a small part ionises, so the real pH is higher than the result.
  • Applying the formula to extremely dilute acids. At 10⁻⁹ mol/L the tool gives pH 9.00 (a base), but water itself supplies about 10⁻⁷ mol/L of H⁺ and the true pH is just under 7.
  • Using the pH + pOH = 14 rule at a temperature far from 25 °C without adjusting.
  • Forgetting that pH is logarithmic: a change of 1 unit is a tenfold change in [H⁺], and 2 units is a hundredfold change.

About this calculator

pH and pOH measure how acidic or basic a solution is using negative log-base-10 scales: pH = −log₁₀[H⁺] and pOH = −log₁₀[OH⁻]. At 25°C, the two always sum to 14, because water's ion product constant Kw = [H⁺][OH⁻] = 1×10⁻¹⁴ links them — so knowing one instantly gives the other.

Chemistry students use this relationship constantly when titrating acids and bases in lab, biologists monitor pH because human blood must stay within a narrow 7.35–7.45 range for enzymes to function, and environmental scientists and agronomists test soil and water pH because it governs nutrient availability and aquatic-life tolerance.

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