Analyte Concentration Calculator

Pick dilution, Beer-Lambert, titration, or molarity mode quickly. Convert units and track significant figures easily today. Export results to CSV or PDF for records.

Inputs
Choose a method, enter values with units, then calculate.
Sig. figures
Use µg as “ug”.
For dilution, units must match across C1 and C2.
For dilution, units must match across V1 and V2.
Example: 1.0 for 1:1 reactions.
Uses common approximations: ppm ≈ mg/L and ppb ≈ µg/L when density ≈ 1 g/mL.
Required fields depend on the selected method.
Example data table
Scenario Inputs Key idea Expected output
Glucose solution 0.250 g in 100 mL, 180.16 g/mol Mass → moles → molarity ~0.0139 mol/L
Dilution prep C1=1.00, V1=10.0 mL, V2=100 mL Conserve solute amount C2 = 0.100
Spectrophotometry A=0.650, ε=12500, l=1.00 cm Beer-Lambert inversion c = 5.20e-5 mol/L
Acid titration Ct=0.100, Vt=12.40 mL, Vs=25.00 mL Stoichiometry + volume ratio ~0.0496 (1:1)
Numbers are illustrative; your results depend on rounding settings.
Formulas used
  • Molarity: M = n / V with n = m / Mw.
  • Mass concentration: Cm = m / V (g/L after unit conversion).
  • Dilution: C1V1 = C2V2 (same units on both sides).
  • Beer-Lambert: A = ε·l·c so c = A / (εl).
  • Titration: Ca = (Ct Vt × r) / Vs, with r as mol ratio.
The calculator converts mass to grams and volume to liters when needed.
How to use this calculator
  1. Select a calculation method that matches your experiment.
  2. Enter the required inputs, including unit labels.
  3. Set significant figures to control rounding behavior.
  4. Click Calculate to view results above the form.
  5. Use the CSV or PDF buttons to save the latest result.
Professional notes and reference data

1) Why analyte concentration matters

Concentration is the working language of chemistry: it links sample preparation, instrument response, and decision limits. In environmental testing, regulatory thresholds can sit near 10–100 µg/L for metals, while clinical assays often target micromolar ranges. A consistent method prevents unit drift from lab notebook to report.

2) Unit discipline and conversions

This calculator standardizes mass to grams and volume to liters before computing results. Mass concentration is reported in g/L, mg/L, and µg/L, while molarity is in mol/L and mmol/L. For water-like solutions, the common approximation ppm ≈ mg/L and ppb ≈ µg/L is also displayed for quick screening.

3) Gravimetric preparation workflow

When you weigh a solid and dilute to volume, the most defensible pathway is moles = mass / molar mass, then M = moles / volume. For example, 0.250 g glucose (180.16 g/mol) in 0.100 L yields 0.0139 mol/L, and the same preparation corresponds to 2.50 g/L. Recording both molar and mass units improves cross-method comparisons.

4) Dilution planning with C1V1 = C2V2

Dilution is a conservation statement: the amount of dissolved analyte stays constant while volume changes. If you prepare 100 mL from a 1.00 mol/L stock using 10.0 mL of stock, the target is 0.100 mol/L. Keep volume units consistent across V1 and V2 to avoid hidden 1000× errors.

5) Beer-Lambert method checks

Beer-Lambert uses A = ε·l·c, typically with l = 1.00 cm cuvettes and ε reported in L/(mol·cm). Many assays are most linear between A ≈ 0.1 and 1.0. With A = 0.650 and ε = 12500 L/(mol·cm), c = 5.20×10-5 mol/L, a range common for colored dyes and metal complexes.

6) Titration stoichiometry mapping

Titration concentration follows from mole balance at equivalence. If the reaction is 1:1, analyte concentration equals (Ct·Vt)/Vs using consistent units. For polyprotic systems or complexation titrations, set the stoichiometric ratio r as mol analyte per mol titrant to reflect the balanced equation.

7) Significant figures and uncertainty

The displayed significant figures affect readability but not the underlying calculation. In practice, uncertainty comes from balance resolution, volumetric glassware class, and instrument noise. If a pipette is ±0.02 mL on 10.00 mL, the relative contribution is ~0.2%. Match rounding to your dominant uncertainty source.

8) Reporting and traceability

Exporting results to CSV supports audit trails and reproducible calculations. Include method, units, and timestamp in your records, and keep the raw inputs with lot numbers for standards. When sharing results, state whether values are molar, mass-based, or approximate ppm/ppb assumptions. Clear reporting reduces rework and disputes.

FAQs

1) What is the difference between molarity and mass concentration?

Molarity is moles per liter (mol/L). Mass concentration is grams per liter (g/L). They convert using molar mass: g/L = (mol/L) × (g/mol).

2) When is ppm equal to mg/L?

For dilute aqueous solutions with density near 1 g/mL, ppm is approximately mg/L. For viscous solvents or high salinity, use density-based conversions instead.

3) How do I choose the stoichiometric ratio in titration mode?

Use the balanced reaction. Set r as moles of analyte reacting per mole of titrant at equivalence. Example: if 2 mol titrant react with 1 mol analyte, r = 0.5.

4) What units should ε and path length use for Beer-Lambert?

Typically ε is in L/(mol·cm) and path length is in cm, giving concentration in mol/L. If your ε uses different units, convert it before entering values.

5) Why does dilution require matching units for V1 and V2?

Because C1V1 and C2V2 must represent the same solute amount. If V1 is in mL and V2 is in L, you introduce a 1000× mismatch unless you convert first.

6) Can I solve for any missing dilution variable?

Yes. Provide any three of C1, V1, C2, and V2, and the calculator solves the fourth. If multiple fields are blank, the problem is underdetermined.

7) Why do my results change when I adjust significant figures?

Only the displayed rounding changes. The internal computations are done with full numeric precision, then formatted to your chosen significant figures for reporting clarity.

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