Titration Calculator

Find an unknown concentration from a 1:1 titration.

How the Math Works

The Titration Calculator uses the fundamental equation C₁V₁ = C₂V₂, where C₁ and V₁ represent the concentration and volume of the titrant, and C₂ and V₂ correspond to the analyte's concentration and volume. At the equivalence point, the moles of titrant equal the moles of analyte. Rearranging the formula isolates the unknown analyte concentration (C_analyte) as (C_titrant × V_titrant) ÷ V_analyte. This relationship assumes a 1:1 stoichiometric ratio between reactants, making it essential to verify the balanced chemical equation for other ratios.

Practical Applications

To apply this calculation, first measure the exact volume of titrant (V_titrant) required to neutralize or react completely with a known volume of analyte (V_analyte). Input the titrant's known concentration (C_titrant) into the calculator alongside these measurements. For example, if 0.1 M NaOH titrant requires 25.0 mL to react with 50.0 mL of an HCl sample, the HCl concentration calculates to (0.1 × 25.0) ÷ 50.0 = 0.05 M. This method is critical in laboratory settings for determining unknown concentrations in acids, bases, or other reactive substances.

Day-to-Day Use

This calculation empowers informed decisions in everyday scenarios like testing swimming pool pH levels, where adjusting chemical balances prevents health risks. It also aids in verifying food product safety, such as ensuring vinegar's acetic acid concentration meets standards. Environmental scientists rely on titration results to monitor water quality in local rivers, detecting pollutants that could impact ecosystems or drinking supplies. By quantifying chemical concentrations accurately, this tool supports public health, environmental protection, and quality control in industries ranging from agriculture to pharmaceuticals.

Worked example

0.1 M titrant, 22.5 mL, 25 mL analyte → 0.09 M.

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