Titration Calculator

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Titration Calculator

Instantly calculate unknown concentration, volume, or moles in acid-base titrations using precise stoichiometric formulas.

🧪 Acid-Base Titrations
📐 M₁V₁/n₁ = M₂V₂/n₂
🎓 Chemistry Students
🔒 100% Free & Private

Calculate Unknown Concentration or Volume

Enter your known titration values and stoichiometric ratio to instantly solve for the unknown molarity or volume.

Titration Solver

Solve M₁V₁/n₁ = M₂V₂/n₂ with step-by-step breakdown.

0.00 mol/L
Unknown Concentration (M₂)
0.00 mol
Moles of Unknown
Moles of Known: 0.00 mol
Stoichiometric Ratio: 1 : 1
Formula Applied: M₂ = (M₁ × V₁ × n₂) / (V₂ × n₁)
*Calculations are rounded to 4 decimal places for precision. Ensure your chemical equation is properly balanced before entering n₁ and n₂.
💡 Pro Tip: Always write the balanced chemical equation first! The coefficients in front of the acid and base in the balanced equation are your n₁ and n₂ values. For example, in H₂SO₄ + 2NaOH → Na₂SO₄ + 2H₂O, n₁ (acid) = 1 and n₂ (base) = 2.
1

Choose Target

Select whether you need to find the unknown concentration (Molarity) or the unknown volume.

2

Enter Knowns

Input the concentration and volume of your known solution (titrant), and the volume or concentration of the unknown (analyte).

3

Set Stoichiometry

Enter the mole ratio (n₁ and n₂) derived directly from the balanced chemical equation.

4

Get Results

Instantly see the unknown value, moles of each substance, and the exact formula breakdown.

Common Acid-Base Titration Ratios

Standard stoichiometric ratios (n₁ : n₂) for frequently encountered laboratory titration reactions.

Acid (Analyte / n₁) Base (Titrant / n₂) Balanced Equation Snippet Ratio (n₁ : n₂)
HCl Hydrochloric Acid NaOH (Sodium Hydroxide) HCl + NaOH → NaCl + H₂O 1 : 1
HNO₃ Nitric Acid KOH (Potassium Hydroxide) HNO₃ + KOH → KNO₃ + H₂O 1 : 1
H₂SO₄ Sulfuric Acid NaOH (Sodium Hydroxide) H₂SO₄ + 2NaOH → Na₂SO₄ + 2H₂O 1 : 2
H₃PO₄ Phosphoric Acid NaOH (Sodium Hydroxide) H₃PO₄ + 3NaOH → Na₃PO₄ + 3H₂O 1 : 3
CH₃COOH Ethanoic (Acetic) Acid NaOH (Sodium Hydroxide) CH₃COOH + NaOH → CH₃COONa + H₂O 1 : 1
HCl Hydrochloric Acid Ca(OH)₂ (Calcium Hydroxide) 2HCl + Ca(OH)₂ → CaCl₂ + 2H₂O 2 : 1

Titration Calculator FAQ

Answers to the most frequently asked questions about acid-base titrations, stoichiometry, and molarity calculations.

The standard titration formula is M₁V₁/n₁ = M₂V₂/n₂, where M is molarity (concentration in mol/L), V is volume (in mL or L), and n is the stoichiometric coefficient (number of moles) from the balanced chemical equation for the known (1) and unknown (2) substances.

The equivalence point is the theoretical point in a titration where the moles of titrant exactly equal the moles of analyte according to the stoichiometric ratio. The endpoint is the experimental point where the indicator changes color, which should be as close to the equivalence point as possible.

You must first write the balanced chemical equation for the acid-base reaction. The stoichiometric coefficients of the reactants in the balanced equation are your n₁ and n₂ values. For example, in HCl + NaOH → NaCl + H₂O, the ratio is 1:1. In H₂SO₄ + 2NaOH → Na₂SO₄ + 2H₂O, the ratio is 1:2.

As long as you use the same volume unit for both V₁ and V₂, the units will cancel out in the M₁V₁/n₁ = M₂V₂/n₂ formula. Milliliters (mL) are most commonly used in laboratory titrations for convenience, as burette readings are typically in mL.

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