pKa Calculator

By: Calculator Grid

pKa Calculator

Calculate pKa from pH and an acid/base concentration ratio, or directly from an acid dissociation constant.

From pHpKa 5.800Weak acid range
Workbook ready for the demonstration values.

Inputs

Calculation method
pH
Enter a finite value from 0 to 14.
mol/L
A positive molar concentration, such as 0.01.
mol/L
A positive molar concentration, such as 0.10.
unitless
Enter a positive number; scientific notation is accepted.

Live results

Calculated pKa
5.800

Lower pKa values generally indicate stronger acids.

Equivalent Ka
1.585 × 10⁻⁶
Base-to-acid ratio
0.100
log₁₀ ratio
– 1.000
Relationship
pH < pKa
No result yet. Enter a complete valid set of values.

Calculation breakdown

Step Expression Value
1. Concentration ratio [A⁻] / [HA] 0.100
2. Logarithmic adjustment log₁₀(0.100) – 1.000
3. Rearranged equation pKa = pH – log₁₀([A⁻]/[HA]) 5.800
Concentrations must use the same unit because only their ratio enters the Henderson – Hasselbalch expression.

How to use this pKa calculator

What this calculator does

This calculator estimates an acid's pKa in either of two ways. The first method rearranges the Henderson – Hasselbalch equation using a measured pH, the conjugate base concentration, and the weak acid concentration. The second method converts an acid dissociation constant, Ka, with pKa = – log₁₀(Ka). The result is a logarithmic acidity-strength descriptor, not a complete prediction of solution behavior, reaction rate, buffer capacity, or biological effect. For dilute solutions, high ionic strength, mixed solvents, or temperatures far from the conditions used to measure Ka, activity-based equilibrium calculations may be more appropriate. The Henderson – Hasselbalch equation reference explains both the relationship and its approximation limits.

When to use it

Use the calculator to check a buffer-preparation calculation, infer pKa from experimental pH and composition data, convert a published Ka value into the more readable pKa scale, or compare the relative acidity of compounds measured under similar conditions. It is especially useful when the acid and conjugate base coexist in appreciable amounts and their concentrations are expressed on the same basis.

How to calculate

  1. The calculator opens with a complete demonstration: pH 4.8, conjugate base 0.01 mol/L, and weak acid 0.10 mol/L. The result is pKa 5.800, and a validated example workbook is immediately available.
  2. Choose pKa from pH to use composition data, or choose pKa from Ka when you already know the dissociation constant.
  3. Replace the sample values. Results update live after each valid change. Read the primary pKa, then use the secondary values and breakdown table to check the logarithmic step.
  4. Select Download Excel to export the current typed inputs, outputs, and calculation steps. Select Reset to clear the demonstration and all calculated content; export remains unavailable until a complete valid state is entered again.

Input guide

Calculation method is required and selects one of the two formulas. pH is required in the pH method, accepts an ordinary decimal from 0 to 14, and is dimensionless; 4.8 is a realistic example. Raising pH while keeping the ratio fixed raises calculated pKa by the same amount. Do not enter a concentration in this field. Conjugate base concentration is required, must be positive, and is entered in mol/L; 0.01 is the startup example. A larger base concentration increases the base-to-acid ratio and lowers the inferred pKa for a fixed pH. Weak acid concentration is also required and positive; 0.10 mol/L is the startup example. Increasing it decreases the ratio and raises inferred pKa. The two concentrations may use another common concentration unit, but they must use the same unit because the ratio must be dimensionless. Acid dissociation constant (Ka) is required only in the Ka method, must be greater than zero, and accepts decimals or scientific notation such as 1.8e-5. Larger Ka values produce smaller pKa values. Do not enter “10^-5” as text; use 1e-5 or a decimal.

Output guide

Calculated pKa is the primary logarithmic result. Lower values usually correspond to stronger acids, while higher values correspond to weaker acids under comparable conditions. Equivalent Ka is 10 raised to the negative pKa and provides the inverse conversion. Base-to-acid ratio is [A⁻]/[HA]; a value of 1 means equal concentrations. log₁₀ ratio is the logarithmic adjustment used by the Henderson – Hasselbalch equation. Relationship states whether pH is below, equal to, or above pKa. The Calculation breakdown table lists the ratio, logarithm, and final substitution for the current method. These are exact mathematical identities for the supplied values, while their chemical applicability depends on the equilibrium assumptions.

Worked example

With pH = 4.8, [A⁻] = 0.01 mol/L, and [HA] = 0.10 mol/L, the ratio is 0.01/0.10 = 0.100. Its base-10 logarithm is – 1.000. Rearranging pH = pKa + log₁₀([A⁻]/[HA]) gives pKa = 4.8 – ( – 1.000) = 5.800. The equivalent Ka is 10⁻⁵·⁸, or approximately 1.585 × 10⁻⁶. Because the conjugate base concentration is lower than the weak acid concentration, pH is below pKa.

Understanding pKa, Ka, and acid strength

Ka is the equilibrium constant associated with acid ionization. A larger Ka means that the dissociated products are favored more strongly, so the acid is stronger. pKa applies a negative base-10 logarithm: pKa = – log₁₀(Ka). Because of the negative sign, the scale runs in the opposite direction. A one-unit drop in pKa corresponds to a tenfold increase in Ka. The acid strength and Ka overview provides the equilibrium context, while a compiled table of acid dissociation constants at 25 °C shows how measured values vary among compounds.

Measured Ka and pKa values depend on temperature, solvent, ionic strength, and the convention used for activities. Compare literature values only when their conditions are compatible.

Assumptions and common mistakes

The concentration form of the Henderson – Hasselbalch equation is an approximation to an activity-based equilibrium relationship. It works best for buffer-like mixtures where both acid and conjugate base are present in meaningful amounts. Extremely dilute systems can deviate because water autoionization becomes significant. Large ionic-strength effects can also make concentration ratios differ from activity ratios.

  • Do not reverse the ratio: the numerator is conjugate base [A⁻], and the denominator is weak acid [HA].
  • Do not mix units, such as mmol/L for one concentration and mol/L for the other, without converting first.
  • Do not use zero or negative concentrations or Ka values; logarithms require positive arguments.
  • Do not interpret pKa as the solution pH. They become equal only when [A⁻] = [HA].
  • Do not assume a tabulated pKa is universal across all solvents and temperatures.