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pKb Calculator

Start from

14.00 at 25 °C; 13.53 at 40 °C; 14.94 at 0 °C.

pKb —
Kb
—
pKa of conjugate acid
—
Ka of conjugate acid
—
Classification
—

pKb is the negative base-10 logarithm of the base dissociation constant: pKb = −log₁₀(Kb). For ammonia, Kb = 1.8 × 10⁻⁵, so pKb = 4.74. If you only know the conjugate acid, use pKb = pKw − pKa, where pKw is 14.00 at 25 °C; ammonium's pKa of 9.25 gives 4.75.

About this tool

Acid–base tables are inconsistent: some list Kb for amines, others give only the pKa of the protonated form, and lab data arrive as a measured pH or hydroxide concentration. This calculator turns any of those three starting points into pKb, and reports Kb in scientific notation, the conjugate acid's pKa and Ka, and a rough strength label. The pKw field defaults to 14.00 but can be changed for work at other temperatures, since the pKa + pKb relation holds only with the pKw of the same temperature. The equilibrium mode assumes a single monoprotic weak base in water with no other hydroxide source, so it does not apply to buffers, polyamines with overlapping steps, or concentrated solutions where activities differ from concentrations.

How to use it

  1. Pick a starting point

    Choose Kb value, pKa of conjugate acid, or Concentration + [OH⁻].

  2. Enter the value

    Type Kb in e-notation (1.8e-5), the pKa, or the initial molarity and equilibrium hydroxide concentration.

  3. Check pKw

    Leave 14 for 25 °C or enter the value for your temperature.

  4. Read the results

    pKb appears with Kb, the conjugate pKa and Ka, and the working lines.

Examples

Ammonia, Kb = 1.8 × 10⁻⁵

Start from
Kb value
Base dissociation constant Kb
1.8E-5
pKw of water
14

Result pKb: 4.74
Kb: 1.80 × 10^-5
pKa of conjugate acid: 9.26
Ka of conjugate acid: 5.56 × 10^-10
Classification: Weak base

  1. pKb = −log₁₀(1.80 × 10^-5)
  2. pKb = 4.74
  3. pKa of conjugate acid = 14 − 4.74 = 9.26

The textbook Kb of aqueous ammonia gives pKb 4.74, and the ammonium ion's pKa follows as 14 − 4.74.

From ammonium pKa 9.25

Start from
pKa of conjugate acid
pKa of the conjugate acid
9.25
pKw of water
14

Result pKb: 4.75
Kb: 1.78 × 10^-5
pKa of conjugate acid: 9.25
Ka of conjugate acid: 5.62 × 10^-10
Classification: Weak base

  1. pKb = pKw − pKa = 14 − 9.25 = 4.75
  2. pKb = 4.75
  3. pKa of conjugate acid = 14 − 4.75 = 9.25

When a table lists only the conjugate acid, subtract its pKa from pKw.

0.10 M ammonia with [OH⁻] = 1.34 mM

Start from
Concentration + [OH⁻]
Initial base concentration
0.1
Equilibrium [OH⁻]
0.00134
pKw of water
14

Result pKb: 4.74
Kb: 1.82 × 10^-5
pKa of conjugate acid: 9.26
Ka of conjugate acid: 5.49 × 10^-10
Classification: Weak base

  1. Kb = [OH⁻]² ÷ (C − [OH⁻]) = 1.34 × 10^-3² ÷ (0.1 − 1.34 × 10^-3) = 1.82 × 10^-5
  2. pKb = 4.74
  3. pKa of conjugate acid = 14 − 4.74 = 9.26

Kb = (1.34 × 10⁻³)² ÷ (0.10 − 0.00134) = 1.82 × 10⁻⁵.

How it is calculated

pKb = −log₁₀(Kb); pKb = pKw − pKa; Kb = [OH⁻]² ÷ (C − [OH⁻])

Kb
base dissociation constant of B + H₂O ⇌ BH⁺ + OH⁻
pKa
acid constant of the conjugate acid BH⁺
pKw
ion product of water as a negative log, 14.00 at 25 °C
C
initial concentration of the base, mol/L
[OH⁻]
hydroxide concentration at equilibrium, mol/L

Because Ka × Kb = Kw for a conjugate pair, the logs add to pKw. In the equilibrium mode each base molecule that reacts makes one BH⁺ and one OH⁻, so both equal [OH⁻] and the unreacted base is C − [OH⁻]; water's own hydroxide is neglected, which is fine when [OH⁻] is well above 10⁻⁶ M.

When not to use it

  • Polyprotic bases need a separate pKb for each protonation step.
  • Concentrated or high-ionic-strength solutions need activities, not molarities.
  • Strong bases such as NaOH have no meaningful pKb in water.

Common mistakes

  • Using the pKa of the base itself instead of its conjugate acid.
  • Keeping pKw at 14 for data measured well away from 25 °C.
  • Entering pOH in the [OH⁻] field instead of the concentration 10^−pOH.

Frequently asked questions

How are pKb and pKa related?

For a conjugate acid–base pair, Ka × Kb = Kw, so pKa + pKb = pKw. At 25 °C pKw is 14.00, which is why ammonia (pKb 4.75) pairs with ammonium (pKa 9.25).

Does a smaller pKb mean a stronger base?

Yes. A smaller pKb means a larger Kb, so more of the base takes a proton from water. Methylamine at pKb 3.36 is a stronger base than ammonia at 4.75, and pyridine at about 8.8 is much weaker.

How do I get [OH⁻] from a measured pH?

Compute pOH = pKw − pH, then [OH⁻] = 10^−pOH. A 0.10 M ammonia solution at pH 11.13 has pOH 2.87 and [OH⁻] about 1.35 × 10⁻³ M.

Why does pKw change with temperature?

Water's self-ionisation is endothermic, so Kw rises as it warms. pKw is about 14.94 at 0 °C, 14.00 at 25 °C and 13.53 at 40 °C, and pKa + pKb follows it.

How should I type a very small Kb?

Use e-notation: 1.8e-5 for 1.8 × 10⁻⁵ or 4.4e-4 for methylamine. The result shows Kb back in × 10^ form so you can check it.

Why is there a warning for pKb below 0?

Bases stronger than hydroxide are levelled in water: they react completely, so their Kb cannot be measured there and quoted values come from other solvents or estimates.

Cite this tool

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APA

Tools Directory Editorial Team. (2026, October 12). pKb Calculator. Tools Directory. Retrieved October 28, 2026, from https://tools.milunir.com/chemistry/chemistry-reference/pkb-calculator/

MLA

Tools Directory Editorial Team. “pKb Calculator.” Tools Directory, 12 Oct. 2026, https://tools.milunir.com/chemistry/chemistry-reference/pkb-calculator/. Accessed 28 Oct. 2026.

Chicago

Tools Directory Editorial Team. “pKb Calculator.” Tools Directory. Last modified October 12, 2026. Accessed October 28, 2026. https://tools.milunir.com/chemistry/chemistry-reference/pkb-calculator/.

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