Molality Calculator
Calculate molal concentration from moles of solute and solvent mass, or derive moles from solute mass and molar mass.
Inputs
Live result
| Quantity | Canonical value |
|---|---|
| Moles of solute | 1.200000 mol |
| Mass of solvent | 1.500000 kg |
| Molality | 0.800000 mol/kg |
How to use this molality calculator
What this calculator does. It determines molality, the amount of solute in moles divided by the mass of the solvent in kilograms. Molality is a concentration measure, not a prediction of solubility, reaction yield, pH, or solution density. The definition follows the IUPAC Gold Book definition of molality.
When to use it. Use this tool when preparing concentration calculations from weighed solvent, checking a chemistry exercise, comparing formulations at different temperatures, or converting a measured solute mass into moles before finding concentration. Molality is especially useful when temperature changes matter because it is based on mass rather than solution volume.
How to calculate. The calculator opens with a ready-to-use demonstration: 1.2 mol of solute and 1.5 kg of solvent, producing 0.8 mol/kg. Its Excel workbook is available immediately. To make your own calculation:
- Select Enter moles when the amount of solute is already known, or choose Use mass and molar mass when you know a weighed solute mass.
- Replace the demonstration values. Positive decimals and scientific notation such as 1.2e-3 are accepted; comma-decimal forms such as 1,5 are rejected to avoid ambiguity.
- Choose the appropriate mass unit. Values entered in grams, milligrams, or kilograms are converted internally before calculation.
- Read the live molality, supporting quantities, formula substitution, and canonical-value table.
- Select Download Excel to export the current valid state. Reset clears the demonstration and results; Excel export remains unavailable until a complete valid state is entered again.
Input guide. Calculation method is required and determines which solute inputs are active. Moles of solute is required in direct mode, measured in mol; for example, 1.2 mol. A larger value raises molality in direct proportion. Do not enter particles or grams in this field. Mass of solute is required only in mass mode and may be entered in g, kg, or mg; 70.128 g is the demonstration value. Increasing it raises calculated moles and molality. Molar mass of solute is required only in mass mode, in g/mol; 58.44 g/mol is suitable for sodium chloride. Confusing molecular mass units or entering zero makes the calculation invalid. Mass of solvent is always required and may be entered in kg, g, or mg; 1.5 kg is the example. Increasing solvent mass lowers molality. Use only the solvent mass, not the combined mass of solute and solvent.
Output guide. Molality is the primary result in mol/kg and is an exact identity for the entered values. A result of zero would require zero solute, which this interface treats as outside the positive demonstration domain. Moles used shows either the entered moles or the moles derived from solute mass divided by molar mass. Solvent mass shows the canonical kilogram value after unit conversion. Solute-to-solvent mass ratio is available in mass mode and helps compare the weighed masses; it is not molality. The table repeats the canonical values used by the workbook.
Worked example. With 1.2 mol of solute and 1.5 kg of solvent, molality = 1.2 ÷ 1.5 = 0.800000 mol/kg. In mass mode, 70.128 g ÷ 58.44 g/mol = 1.2 mol, so the same solvent mass gives the same 0.800000 mol/kg result. For SI quantity and unit conventions, consult the NIST Guide to the SI.
Formula and interpretation
molality = moles of solute ÷ kilograms of solvent
When solute moles are not known directly, moles = solute mass in grams ÷ molar mass in grams per mole. The two-step form is therefore molality = solute mass ÷ (molar mass × solvent mass in kilograms). Because kilograms of solvent are in the denominator, doubling the solvent while holding solute constant halves molality. Doubling the solute while holding solvent constant doubles it.
Molality differs from molarity, which divides moles by the volume of the entire solution. Volume can expand or contract with temperature, while mass is comparatively stable. A concise instructional treatment is available in the Chemistry LibreTexts molality lesson.
Common mistakes
- Using total solution mass instead of solvent mass.
- Leaving grams unconverted when applying a formula that expects kilograms of solvent.
- Confusing molality, symbolized by a lowercase italic m in many texts, with molarity, commonly symbolized by uppercase M.
- Using an incorrect molar mass for a hydrate, salt form, isotope composition, or molecular formula.
- Rounding moles too early. Keep full precision through the calculation and round only the reported result.