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pOH Calculator

Start from
pOH —
pH
—
Solution is
—
[OH⁻]
—
[H⁺]
—
pOH on the 0–14 scale at 25 °C
The chart appears with your result

pOH is the negative base-10 logarithm of the hydroxide ion concentration: pOH = −log10[OH⁻]. At 25 °C, pH + pOH = 14. A 0.01 mol/L NaOH solution has [OH⁻] = 10⁻² mol/L, so its pOH is 2 and its pH is 12. Below 7 the solution is basic; above 7 it is acidic.

About this tool

Chemistry students working through acid–base problem sets, and lab staff preparing buffers or titrant, often have one quantity and need the rest. This calculator starts from whichever you know — the hydroxide ion concentration, the hydrogen ion concentration, or the pH — and returns pOH to two decimals, the matching pH, both ion concentrations in scientific notation, and whether the solution is acidic, basic or neutral. The working is printed line by line and a scale places the pOH between 0 and 14. One limit: it uses pKw = 14.00, which holds at 25 °C only. At 37 °C pKw is about 13.6, so neutral water sits near pOH 6.8, and the tool does not correct for temperature or for ion activity in concentrated solutions.

How to use it

  1. Choose your starting value

    Pick [OH⁻] concentration, [H⁺] concentration or pH from the three buttons.

  2. Enter the number

    Type the concentration in mol/L (decimals such as 0.0001 work) or the pH value.

  3. Read pOH and the rest

    pOH, pH, both concentrations and the acid/base label update as you type, with the steps beneath.

Examples

0.01 M sodium hydroxide

Start from
[OH⁻] concentration
Hydroxide ion concentration
0.01

Result pOH: 2
pH: 12
Solution is: Basic
[OH⁻]: 1.00 × 10^-2 mol/L
[H⁺]: 1.00 × 10^-12 mol/L

  1. pOH = −log10[OH⁻] = −log10(1.00 × 10^-2 mol/L) = 2
  2. [OH⁻] = 10^(−pOH) = 1.00 × 10^-2 mol/L
  3. [H⁺] = 10^(−pH) = 1.00 × 10^-12 mol/L

NaOH dissociates fully, so [OH⁻] equals the base concentration. The log of 10⁻² gives a pOH of 2 and a pH of 12.

From pH 3

Start from
pH value
pH
3

Result pOH: 11
pH: 3
Solution is: Acidic
[OH⁻]: 1.00 × 10^-11 mol/L
[H⁺]: 1.00 × 10^-3 mol/L

  1. pOH = 14 − pH = 14 − 3 = 11
  2. [OH⁻] = 10^(−pOH) = 1.00 × 10^-11 mol/L
  3. [H⁺] = 10^(−pH) = 1.00 × 10^-3 mol/L

With pKw = 14 at 25 °C, a pH of 3 leaves a pOH of 11; the solution is acidic.

[H⁺] = 0.0001 mol/L

Start from
[H⁺] concentration
Hydrogen ion concentration
0.0001

Result pOH: 10
pH: 4
Solution is: Acidic
[OH⁻]: 1.00 × 10^-10 mol/L
[H⁺]: 1.00 × 10^-4 mol/L

  1. pH = −log10[H⁺] = −log10(1.00 × 10^-4 mol/L) = 4
  2. pOH = 14 − pH = 14 − 4 = 10
  3. [OH⁻] = 10^(−pOH) = 1.00 × 10^-10 mol/L
  4. [H⁺] = 10^(−pH) = 1.00 × 10^-4 mol/L

The pH is 4, so pOH is 14 − 4 = 10 and [OH⁻] is 1.00 × 10^-10 mol/L.

How it is calculated

pOH = −log10[OH⁻]; pH + pOH = pKw = 14; [OH⁻] = 10^(−pOH)

[OH⁻]
hydroxide ion concentration in mol/L
[H⁺]
hydrogen (hydronium) ion concentration in mol/L
pKw
negative log of water's ion product, 14.00 at 25 °C

Water self-ionises so that [H⁺][OH⁻] = Kw = 1.0 × 10⁻¹⁴ at 25 °C. Taking the negative log of both sides gives pH + pOH = 14. From a hydroxide concentration the tool takes the log directly; from [H⁺] it finds pH first and subtracts from 14; from pH it subtracts directly. The concentrations are then recovered by raising 10 to the negative exponent.

When not to use it

  • Solutions far from 25 °C, where pKw is no longer 14.
  • Concentrated bases above about 1 mol/L, where activity departs from concentration.
  • Weak bases given only as a formal concentration; find [OH⁻] from Kb first.

Common mistakes

  • Entering the base concentration of Ca(OH)₂ as [OH⁻]; each formula unit releases two hydroxide ions.
  • Reading a pOH below 7 as acidic; low pOH means basic.
  • Using the concentration of a weak base such as ammonia directly as [OH⁻].

Frequently asked questions

How is pOH different from pH?

pH tracks hydrogen ion concentration and pOH tracks hydroxide ion concentration. They move in opposite directions and, at 25 °C, always add up to 14, so a pH of 9 means a pOH of 5.

What pOH does pure water have?

At 25 °C pure water has [OH⁻] = 1.0 × 10⁻⁷ mol/L, giving a pOH of exactly 7. At body temperature, 37 °C, pKw falls to roughly 13.6 and neutral water has a pOH near 6.8.

Can pOH be negative?

Yes. A hydroxide concentration above 1 mol/L, such as 2 mol/L NaOH, gives a pOH of about −0.30. At those strengths the ideal relation becomes approximate because ion activity is lower than concentration, so the tool adds a note.

How do I get [OH⁻] for calcium hydroxide?

Multiply the molar concentration by the number of hydroxide ions per formula unit. For 0.005 mol/L Ca(OH)₂, [OH⁻] is 0.010 mol/L, which gives a pOH of 2.00.

What about weak bases like ammonia?

A weak base only partly reacts with water, so [OH⁻] is much lower than its formal concentration. Solve the Kb equilibrium first, for example [OH⁻] ≈ √(Kb × C), then enter that hydroxide value here.

Why is pOH used for bases at all?

For strong base solutions the hydroxide concentration is the number you know directly from the recipe, so pOH falls out in one logarithm. Many textbook titration and buffer problems on the basic side are solved in pOH first and converted to pH at the end.

Cite this tool

Using this tool in an assignment, article or report? Copy a citation, or a link for your website.

APA

Tools Directory Editorial Team. (2026, October 17). pOH Calculator. Tools Directory. Retrieved October 28, 2026, from https://tools.milunir.com/chemistry/solutions-and-concentration/poh-calculator/

MLA

Tools Directory Editorial Team. “pOH Calculator.” Tools Directory, 17 Oct. 2026, https://tools.milunir.com/chemistry/solutions-and-concentration/poh-calculator/. Accessed 28 Oct. 2026.

Chicago

Tools Directory Editorial Team. “pOH Calculator.” Tools Directory. Last modified October 17, 2026. Accessed October 28, 2026. https://tools.milunir.com/chemistry/solutions-and-concentration/poh-calculator/.

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