Instantly convert milliliters (mL) and molar concentration (mol/L) to moles of solute. Also calculate mass when molar mass is provided.
The relationship between volume, concentration, and moles is fundamental in solution chemistry. According to the definition of molarity (M): M = n / V(L), where n is the number of moles of solute and V is the volume in liters. Rearranging: n (mol) = M (mol/L) × V (L). Since 1 L = 1000 mL, the conversion from mL to moles becomes: n = M × (volume_mL / 1000).
n (mol) = Molarity (mol/L) × Volume (mL) / 1000
If molar mass (MW) is provided: mass (g) = n × MW
1. The user enters volume in mL (V_mL) and molar concentration C (mol/L).
2. Volume in liters: V_L = V_mL / 1000.
3. Moles of solute: n = C × V_L.
4. If molar mass MM (g/mol) is provided, mass m = n × MM (grams).
5. Number of molecules/particles (if needed) = n × Avogadro's constant (6.022 × 10²³).
The tool uses double‑precision arithmetic, ensuring high accuracy for both dilute and concentrated solutions.
This method follows the IUPAC definition of amount of substance and is widely used in analytical chemistry, pharmacology, and environmental science.
A researcher needs 250 mL of phosphate‑buffered saline (PBS) with a final Na₂HPO₄ concentration of 0.2 M. Using this calculator: volume = 250 mL, concentration = 0.2 M → moles = 0.05 mol. If molar mass of Na₂HPO₄ is 141.96 g/mol, the required mass = 7.098 g. The researcher can directly weigh this amount and dilute to 250 mL. This approach minimizes trial and error and ensures reproducible experiments.
| Solute | Volume (mL) | Molarity (M) | Moles (n) | Molar Mass (g/mol) | Mass (g) |
|---|---|---|---|---|---|
| NaCl | 500 | 0.154 | 0.0770 | 58.44 | 4.50 |
| HCl | 100 | 1.00 | 0.1000 | 36.46 | 3.646 |
| NaOH | 250 | 0.50 | 0.1250 | 40.00 | 5.000 |
| Glucose (C₆H₁₂O₆) | 350 | 0.20 | 0.0700 | 180.16 | 12.61 |