Density to Molarity Converter
Enter solution density, mass fraction (weight percent), and solute molar mass to instantly calculate molarity in mol/L.
Inputs
Enter values on the left and click Calculate.
Result
Molarity
mol/L (M)
g per Liter
Normality (if n=1)
Step-by-step Derivation
Formula Reference
M = (ρ × w × 10) ÷ Mr
- M — molarity (mol/L)
- ρ — solution density (g/mL)
- w — mass fraction (weight %)
- Mr — solute molar mass (g/mol)
- Factor 10 = 1000 mL/L ÷ 100 (%→fraction)
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Summary
Enter solution density, mass fraction (weight percent), and solute molar mass to instantly calculate molarity in mol/L.
How it works
- Enter the solution density in grams per milliliter (g/mL) from the reagent label.
- Enter the mass fraction (weight percent) of the solute in the solution.
- Enter the molar mass of the pure solute in grams per mole (g/mol).
- Click Calculate — the tool applies M = (ρ × w% × 10) ÷ M_r.
- Review the step-by-step derivation showing each unit conversion.
- Use the preset buttons for common reagents to auto-fill known values instantly.
Use cases
- Preparing standard solutions from concentrated stock reagents in the lab.
- Verifying molar concentration of commercially supplied chemicals.
- Calculating volumes needed for dilution using the C1V1 = C2V2 relation.
- Stoichiometric calculations for titrations and reactions.
- Teaching unit conversion between density, weight percent, and molarity.
- Cross-checking reagent quality certificates against expected molarity.
- Formulating buffer solutions at precise molar concentrations.
- Converting any solute/solvent combination — not limited to acids.
Frequently Asked Questions
Last updated: 2026-06-11 ·
Reviewed by Nham Vu