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Calculators/Chemistry/Weak acid/base pH from Ka or Kb
Chemistry

Weak acid/base pH from Ka or Kb calculator

pH of a weak acid or base solution from its dissociation constant and starting concentration.

What this calculator does

Weak acid/base pH from Ka or Kb works out pH of a weak acid or base solution from its dissociation constant and starting concentration. Enter your own figures above and the answer updates as you type: nothing is fixed in the code, so the result reflects exactly the numbers you supply.

The formula this calculator evaluates is printed under the tool and explained below, so you can check the working by hand or reuse it in a spreadsheet.

The formula

FormulaICE table: Ka = x²/(C₀−x) → x = (−Ka + √(Ka²+4·Ka·C₀)) / 2, pH = −log₁₀[H⁺]

The inputs explained

FieldWhat to enter
TypeChoose from Weak acid (Ka), Weak base (Kb).
Ka or KbA number. Starts at 0.000018.
Initial concentration C₀ (mol/L)A number, measured in mol/L. Starts at 0.1.

Worked examples

Every figure in the tables below is produced by this page’s own calculator at build time, so the numbers and the tool always agree. Select any row to load that scenario.

How the answer changes with ka or kb

Every other input is held at the calculator’s starting values while ka or kb varies. Select any row to load that scenario into the calculator.

How the answer changes with ka or kb
Ka or KbpHpOH[H⁺] or [OH⁻] ionized (x)
0−∞0 mol/L
0−∞0 mol/L
0−∞0 mol/L
0−∞0 mol/L
0−∞0 mol/L
0−∞0 mol/L