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pKa Calculator

Convert between Ka and pKa and find the pH of half-dissociation.

About pKa Calculator

At pH equal to pK_a an acid is exactly half ionised, which is why pK_a is read directly off a titration curve at half equivalence. Two units either side of pK_a corresponds to about 99 per cent in one form. The ionisation state at physiological pH governs drug absorption and distribution, which is why pK_a is central to pharmacology.

Formula

pKa

pK_a = −log₁₀K_a; ionised fraction = 10^(pH−pK_a) ÷ (1 + 10^(pH−pK_a))

half equivalence
pH equals pK_a when exactly half the acid is dissociated

Worked example

With the default values below, pKa Calculator returns pKa of 4.7447. Change any input above and every figure here is recalculated in your browser.

Inputs used

Acid dissociation constantminimum 0
0.000018
Solution pHaccepts -2–16
4.5

Results

pKa
4.7447
pH at Half Equivalence
4.7447
Ratio of Conjugate Base to Acid at That pH
0.56921
Percentage Ionised at That pH
36.274%
Acid Strength
Weak acid

Step by step

  1. 1Values used
  2. 2pKa
  3. 3pKa= 4.7447
  4. 4pH at Half Equivalence= 4.7447
  5. 5Ratio of Conjugate Base to Acid at That pH= 0.56921
  6. 6Percentage Ionised at That pH= 36.274
  7. 7Acid Strength= Weak acid

Assumptions and limits

  • The result is derived only from the 2 inputs listed above. Anything not among them is not part of the calculation.
  • In particular, this calculator does not take inflation, tax, fees or charges or compounding frequency into account.
  • Figures are rounded for display to 5 decimal places, so totals built from several rounded parts can differ slightly from the unrounded arithmetic.

How these calculators are built and tested is described on the Methodology page. If a figure looks wrong, please report it.

Frequently Asked Questions

How is pKa calculated?

pK_a = −log₁₀K_a; ionised fraction = 10^(pH−pK_a) ÷ (1 + 10^(pH−pK_a)) At pH equal to pK_a an acid is exactly half ionised, which is why pK_a is read directly off a titration curve at half equivalence. Two units either side of pK_a corresponds to about 99 per cent in one form.

Why does pKa matter?

The ionisation state at physiological pH governs drug absorption and distribution, which is why pK_a is central to pharmacology.

What values do I need to enter?

This calculator takes 2 inputs: Acid dissociation constant, Solution pH. The pre-filled defaults are a realistic starting point — replace them with figures from your own environment for a result you can act on.

pKa Calculator – Calculate pKa & pH at Half Equivalence