Titration Calculator — Molarity, Normality, Equivalence Point, Dilution & Percent Purity
A Titration Calculator converts titration volume and concentration data into the unknown molarity, normality, equivalence-point volume, analyte mass, or percent purity. The core equation for a simple 1:1 acid-base titration is M₁V₁ = M₂V₂, but real titration problems often require stoichiometric coefficients: MₐVₐ × nₐ = MᵦVᵦ × nᵦ. This Titration Calculator handles five practical modes: unknown concentration, required titrant volume, standardization, percent purity, and dilution before titration. Enter your titration data below and get a step-by-step result.
Key facts at a glance
- Core titration equation: M₁V₁ × coefficient = M₂V₂ × coefficient.
- Volume units: mL can be used directly when both sides use mL; litres are used for mole calculations.
- Equivalence point: stoichiometric amount of titrant has reacted with analyte.
- Endpoint: observed indicator or instrument signal, ideally close to equivalence point.
- Normality: equivalents/L; useful for acid-base and redox titration.
- Best practice: use concordant titres and blank corrections when required.
📋 Table of Contents
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- What a Titration Calculator Does
- Titration Calculator — Five Modes
- How Titration Calculations Work
- Real Scenarios Where Titration Math Matters
- Common Titration Mistakes
- Lab Safety Essentials
- Which Mode Fits Your Problem
- Frequently Asked Questions
- Titration Best Practices Checklist
- Trusted Reference Resources
- User Reviews & Ratings
What a Titration Calculator Does
A Titration Calculator turns burette readings, standard solution concentration, sample volume, and reaction stoichiometry into the result you actually need. In a titration, a solution of known concentration is delivered into a measured amount of sample until the reaction reaches its endpoint. The calculator uses the volume of titrant, the concentration of the titrant, and the balanced reaction ratio to calculate the unknown concentration or amount of analyte.
The most familiar titration equation is M₁V₁ = M₂V₂, which works for 1:1 reactions such as HCl + NaOH → NaCl + H₂O. Many titrations are not 1:1. Sulfuric acid reacts with sodium hydroxide in a 1:2 ratio, carbonate alkalinity may consume two equivalents of acid, and redox titrations often involve electron-transfer coefficients. This Titration Calculator includes coefficient fields so it can handle both simple and non-1:1 titration calculations.
This tool is useful for chemistry students, teachers, analytical laboratories, water testing, food analysis, pharmaceutical quality control, acid-base standardization, redox titration, and routine concentration checks. The Titration Calculator shows every step so the calculation can be copied into homework, lab reports, batch records, or quality-control documentation.
Titration Calculator
Calculate unknown concentration, titrant volume, standardization factor, percent purity, and dilution-corrected titration results with clear step-by-step working.
Calculation Result
Step-by-step working
How Titration Calculations Work
Titration calculations connect a measured volume of standard solution with an unknown amount of analyte. A Titration Calculator starts with the reaction stoichiometry. In a 1:1 reaction, one mole of titrant reacts with one mole of analyte, so the calculation often reduces to M₁V₁ = M₂V₂. In non-1:1 reactions, coefficients must be included because one mole of analyte may require two, three, or more moles of titrant.
Equivalence Point vs Endpoint
The equivalence point is the theoretical point where stoichiometric amounts have reacted exactly. The endpoint is the observed signal, such as an indicator colour change, pH jump, potentiometric inflection, or conductivity change. A Titration Calculator uses endpoint volume as the experimental approximation of equivalence volume, so good technique and suitable indicators matter.
Molarity and Normality
Molarity is moles per litre. Normality is equivalents per litre and depends on reaction type. Acid-base titrations often use hydrogen-ion or hydroxide-ion equivalents, while redox titrations use electron equivalents. This Titration Calculator focuses mainly on molarity and coefficients, which is usually clearer and less ambiguous than normality for modern chemistry coursework.
Blank Correction and Concordant Titres
Analytical titration often requires blank correction. If a blank consumes 0.10 mL titrant and the sample consumes 24.80 mL, corrected volume is 24.70 mL. Multiple titres should agree closely before the average is used. A Titration Calculator gives the arithmetic result, but reliable titration data comes from rinsed glassware, careful endpoint detection, and repeatable titres.
Moles = molarity × litres
Percent purity = pure analyte mass ÷ sample mass × 100
Dilution correction = diluted concentration × final volume ÷ aliquot volume
Quick Reference Values
Remember: the Titration Calculator assumes your endpoint volume is valid. Rinse the burette with titrant, remove bubbles from the tip, read the meniscus at eye level, and repeat until titres are concordant.

Real Scenarios Where Titration Math Matters
Scenario 1: Finding Unknown Acid Molarity
A student titrates 20.00 mL of HCl with 0.1000 M NaOH. The endpoint requires 25.00 mL NaOH. Because HCl and NaOH react 1:1, the Titration Calculator gives acid molarity = 0.1000 × 25.00 / 20.00 = 0.1250 M.
Scenario 2: Diprotic Acid Calculation
A sulfuric acid sample is titrated with sodium hydroxide. The balanced reaction is H₂SO₄ + 2NaOH → Na₂SO₄ + 2H₂O. The Titration Calculator coefficient fields handle the 1:2 ratio so the acid molarity is not accidentally doubled or halved.
Scenario 3: Standardizing Sodium Hydroxide
NaOH absorbs carbon dioxide and water from air, so it is commonly standardized against potassium hydrogen phthalate (KHP). If 0.2042 g KHP reacts with 20.00 mL NaOH, the Titration Calculator calculates KHP moles and then NaOH molarity from the 1:1 reaction.
Scenario 4: Percent Purity of a Carbonate Sample
A weighed carbonate sample is titrated with standard acid. From titrant moles and reaction coefficients, the Titration Calculator finds pure carbonate mass and percent purity. This is useful for quality control and unknown sample analysis.
Scenario 5: Dilution Before Titration
A concentrated sample is diluted from 25.00 mL to 250.00 mL, then titrated. If the diluted solution concentration is 0.0500 M, the original concentration is 0.0500 × 250 / 25 = 0.500 M. The dilution-corrected mode handles this step.

Common Titration Mistakes
Mistake 1: Ignoring Reaction Coefficients
Not every titration is 1:1. A Titration Calculator with coefficient fields prevents common errors in diprotic acids, carbonate titrations, and redox reactions.
Mistake 2: Using Initial or Final Burette Reading Alone
Titre volume equals final burette reading minus initial burette reading. The calculator needs delivered volume, not just the final reading.
Mistake 3: Forgetting mL-to-L Conversion
For moles, litres are required: moles = M × L. In equations where both sides use mL consistently, mL cancels, but mass and mole calculations require litres.
Mistake 4: Overshooting the Endpoint
If too much titrant is added after the endpoint, the calculated analyte concentration is too high. Repeat the titration with slower dropwise addition near the endpoint.
Mistake 5: Skipping Blank Correction
Some methods require blank correction for solvent, indicator, or reagent consumption. Use corrected titre volume when the method specifies it.
💡 Rule of Thumb: balanced reaction first, corrected titre second, coefficient-aware equation third. The Titration Calculator handles the arithmetic after the experimental data are reliable.
Lab Safety Essentials
Safety: Titrations may involve corrosive acids, caustic bases, oxidizers, reducers, solvents, indicators, or metal salts. The Titration Calculator provides math only. Always follow the SDS, instructor instructions, and laboratory SOP.
- Wear splash goggles, gloves, and lab coat when handling titration reagents.
- Use a fume hood for volatile acids, ammonia, iodine, organic solvents, or hazardous vapours.
- Clamp burettes securely and check for leaks before filling.
- Rinse spills immediately according to your lab procedure.
- Label all solutions with concentration, date, and hazards.
- Dispose titration waste in the correct container.
Which Mode Fits Your Problem
| Mode | Use Case | Key Formula | Inputs | Output |
|---|---|---|---|---|
| Unknown Concentration | Find sample molarity | MₐVₐnₐ = MₜVₜnₜ | titrant M, titre, sample volume, coefficients | unknown molarity |
| Required Volume | Predict endpoint volume | rearranged titration equation | sample M, sample volume, titrant M | mL titrant |
| Standardize Titrant | Find titrant molarity | primary standard moles | standard mass, molar mass, titre | standardized M |
| Percent Purity | Analyze impure sample | pure mass/sample mass ×100 | titrant data, molar mass, sample mass | % purity |
| Dilution Corrected | Recover original concentration | M₁V₁ = M₂V₂ | diluted M, final volume, aliquot volume | original M |
Titration in General Chemistry
Students use titration to connect acid-base equations with molarity and volume. A Titration Calculator helps show why mole ratios matter and why endpoint volume directly affects calculated concentration.
Titration in Analytical Chemistry
Analytical labs use titration for standardization, assay, alkalinity, acidity, hardness, chloride, vitamin C, peroxide value, and many other measurements. Clear calculations reduce reporting errors.
Titration in Quality Control
Quality-control titrations often require replicate titres, blanks, standardization factors, and acceptance criteria. The Titration Calculator supports the arithmetic, while the validated method controls sampling and acceptance limits.
Worked Examples
Example 1 — Unknown molarity: 0.100 M NaOH, 25.00 mL titre, 20.00 mL HCl, 1:1 ratio. HCl = 0.125 M.
Example 2 — Required volume: 25.00 mL of 0.100 M acid needs 12.50 mL of 0.200 M base for a 1:1 titration.
Example 3 — Standardization: 0.2042 g KHP ÷ 204.22 g/mol = 0.001000 mol. If titre is 20.00 mL, NaOH = 0.0500 M.
Example 4 — Percent purity: pure analyte mass 0.180 g in a 0.200 g sample gives 90.0% purity.
Frequently Asked Questions
1. What is a Titration Calculator?
A Titration Calculator uses titrant concentration, titrant volume, analyte volume, and reaction coefficients to calculate unknown concentration, required volume, standardization, purity, or dilution correction.
2. What is the titration formula?
For 1:1 reactions, M₁V₁ = M₂V₂. For general reactions, include stoichiometric coefficients from the balanced equation.
3. What is the equivalence point?
The equivalence point is where stoichiometric amounts of titrant and analyte have reacted exactly.
4. What is the endpoint?
The endpoint is the observed signal, such as colour change or pH jump, used to estimate the equivalence point.
5. Why do coefficients matter?
Coefficients show mole ratios. If a reaction is 1:2, one mole of analyte requires two moles of titrant, so M₁V₁ = M₂V₂ alone would be incomplete.
6. Is normality the same as molarity?
No. Molarity is moles/L. Normality is equivalents/L and depends on the reaction. Coefficient-based molarity calculations are often clearer.
7. Is this Titration Calculator free?
Yes. The Titration Calculator is free and browser-based. Review submissions are saved to the WordPress site database.
Titration Best Practices Checklist
Before Titrating
During Titration
After Titration

Trusted Reference Resources
ChemLibreTexts Acid-Base Titrations — Analytical chemistry reference for titration theory, curves, equivalence points, and indicators.
NIST Chemistry WebBook — NIST chemical data for chemical reference information and molar mass verification.
OpenStax Chemistry — Free general chemistry textbook sections on molarity, acid-base reactions, and titration.
Method SOPs and standards — Always follow your validated titration method for blanks, endpoint, acceptance criteria, and reporting.
User Reviews & Ratings
Share Your Experience with This Titration Calculator
Final Thoughts on Titration Calculation
Titration is one of the most important quantitative techniques in chemistry because it links a visible endpoint to precise concentration data. A Titration Calculator makes the arithmetic easier, but reliable results still depend on a balanced reaction, accurate glassware, clean technique, a suitable indicator or instrument, and repeatable endpoint volumes.
Use the Titration Calculator to check unknown molarity, standardize titrants, estimate required volume, calculate percent purity, and correct for dilution. Then record the balanced equation, titre values, correction factors, and final result clearly so the calculation is traceable.
🔒 Review Storage Note: Calculations run in your browser. When you submit a review, the review is saved to the WordPress site database through the shortcode AJAX handler.

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