Titration Calculator
The titration calculator determines the unknown concentration of an analyte from the volume of titrant used at the equivalence point in an acid-base (or other stoichiometric) titration. Titration is one of the oldest and most reliable quantitative analytical techniques in chemistry. It is used to determine acidity in food products, alkalinity of water samples, active ingredient concentrations in pharmaceuticals, and to standardize reagent solutions in quality control laboratories. Enter the known concentration and volume of the titrant, the volume of analyte, and the stoichiometric ratio to find the analyte concentration.
Titration formula
For nA + mB = products (titrant = A, analyte = B):
moles_A = M1 * V1 (in litres)
moles_B = moles_A * (m/n)
M2 = moles_B / V2 (in litres)
For 1:1: M1*V1 = M2*V2
Common titration reactions
- NaOH + HCl: NaOH + HCl to NaCl + H2O (1:1)
- NaOH + H2SO4: 2 NaOH + H2SO4 to Na2SO4 + 2H2O (2:1)
- KMnO4 + Fe2+: MnO4- + 5Fe2+ + 8H+ to Mn2+ + 5Fe3+ + 4H2O (1:5 redox)
- EDTA + metal ions: 1:1 complex formation titrations
Titration: frequently asked questions
What is a titration?
A titration is an analytical technique in which a solution of known concentration (the titrant) is added to a solution of unknown concentration (the analyte) until the reaction is complete (the equivalence point). The amount of titrant required reveals the amount (and concentration) of analyte. Common examples: acid-base neutralization, redox titrations, precipitation titrations.
What is the equivalence point?
The equivalence point is the point at which moles of titrant added exactly equals the moles of analyte (adjusted for stoichiometry). For a strong acid-strong base titration, the equivalence point is pH 7. For a weak acid-strong base, it is above 7. For a weak base-strong acid, it is below 7. The equivalence point can be detected with an indicator, a pH meter, or a conductivity meter.
How do I calculate the unknown concentration?
From stoichiometry: moles of analyte = (n_analyte/n_titrant) * M_titrant * V_titrant. Then concentration C_analyte = moles / V_analyte. For a 1:1 reaction (like NaOH + HCl): M1V1 = M2V2. For a 1:2 reaction (like H2SO4 + 2NaOH): moles H2SO4 = moles NaOH / 2.
What is a primary standard?
A primary standard is a highly pure substance of known composition that can be used to prepare a solution of exactly known concentration or to standardize another solution. Properties: high purity (greater than 99.9%), non-hygroscopic, stable in air, high molar mass (to reduce weighing error). Examples: potassium hydrogen phthalate (KHP) for base standardization, sodium carbonate for acid standardization.
What is back titration?
A back titration is used when the analyte reacts too slowly, is insoluble, or no suitable direct indicator exists. An excess of a known reagent is added to react completely with the analyte. The excess is then titrated with a second standard solution. Moles of analyte = moles of reagent added - moles of excess reagent titrated.
Official sources
- IUPAC: IUPAC Compendium of Chemical Terminology.
- NIST: NIST Reference on Constants, Units, and Uncertainty.
Reviewed by the CalculatorHub team, edited by James Graham, 14 June 2026. See our methodology.