Calculator Inputs
Choose a calculation mode, enter the known titration values, and submit. Results appear above this form and directly below the header area.
Plotly Graph
The graph updates after calculation. Replicate titres are shown when available; otherwise, the chart compares key concentration or mole values.
Example Data Table
| Scenario | Known Inputs | Typical Goal |
|---|---|---|
| Acid-base unknown concentration | 0.1000 M NaOH, 25.00 mL acid aliquot, titres 24.95, 25.00, 24.98, 1:1 stoichiometry | Find the acid molarity and assess replicate precision |
| Standardize HCl with sodium carbonate | 0.2450 g standard, 204.22 g/mol, 24.80 mL titre, 100% purity, 1:2 ratio | Determine standardized titrant molarity before sample analysis |
| Purity of a tablet solution | 0.1000 M titrant, 20.10 mL titre, 25.00 mL aliquot, 250.00 mL flask, 0.520 g sample | Estimate analyte mass and sample purity after dilution |
Formula Used
Volumetric analysis depends on the equivalence condition. At the endpoint, the stoichiometric relationship between analyte and titrant is treated as:
(Cₐ × Vₐ) / νₐ = (Cₜ × Vₜ) / νₜ
From that base relationship, the calculator applies these practical formulas:
- Unknown concentration:
Cₐ = (Cₜ × Vₜ × νₐ) ÷ (Vₐ × νₜ) - Required titre:
Vₜ = (Cₐ × Vₐ × νₜ) ÷ (Cₜ × νₐ) - Standardization:
Cₜ = [ (m × purity ÷ Mᵣ) × (νₜ ÷ νₐ) ] ÷ Vₜ - Dilution:
C₁V₁ = C₂V₂ - Purity: analyte moles from the aliquot are scaled to the full flask, converted into mass, and compared with sample mass.
Approximate concentration uncertainty is estimated from burette and pipette contributions using relative error propagation.
How to Use This Calculator
- Select the calculation mode that matches your lab task.
- Enter stoichiometric coefficients from the balanced reaction.
- Add concentration, volume, mass, molar mass, or dilution values as needed.
- Paste replicate titres if you want average, standard deviation, and RSD.
- Submit the form to view results above the calculator.
- Review the graph and export your result table as CSV or PDF.
Frequently Asked Questions
1) What is volumetric analysis?
Volumetric analysis measures concentration using a reaction with known stoichiometry and carefully measured liquid volumes. It is common in acid-base, redox, precipitation, and complexometric titrations.
2) When should I use the unknown concentration mode?
Use it when your titrant concentration is already standardized and the analyte concentration must be found from titre volume, sample volume, and balanced reaction coefficients.
3) Why enter replicate titres?
Replicate titres improve reliability checks. The calculator averages valid positive trials, reports sample standard deviation, and shows relative standard deviation for repeatability assessment.
4) How does the purity estimate work?
The aliquot result is scaled to the full prepared flask, converted from moles to mass, corrected by the recovery factor, and compared with the original weighed sample.
5) What is normality here?
Normality measures reactive capacity. It multiplies molarity by the entered n-factor, which is useful when one mole reacts through more than one equivalent.
6) What causes high RSD values?
Large RSD can come from poor endpoint detection, inconsistent swirling, air bubbles, dirty glassware, parallax reading errors, or weak standard preparation.
7) When should I use the dilution mode?
Use dilution mode when you know the stock concentration and need the exact stock and solvent volumes required for a weaker final solution.
8) Why offer both CSV and PDF exports?
CSV helps with spreadsheets and long-term lab records. PDF is convenient for printing, sharing, or attaching a compact calculation summary to reports.