Free online molality calculator. Compute solution molality from moles of solute and mass of solvent (m = n/kg). Instant unit conversion with support for metric and imperial systems. Perfect for chemistry students, lab technicians, and anyone working with colligative properties.
A molality calculator (also called a molal concentration calculator or m = n/kg tool) is an online utility that computes the molality of a solution using the fundamental chemistry equationm = n / kg, where m is molality (mol·kg⁻¹), n is the number of moles of solute, and kg is the mass of the solvent in kilograms. Molality is a concentration unit that measures how much solute is dissolved in a given mass of solvent, expressed in moles per kilogram of solvent. In contrast, molarity is expressed in moles per liter of *solution*. Because it is based on mass rather than volume, molality does not change with temperature, making it the preferred unit for precise physical chemistry work.
Students in high school and college chemistry routinely use the m = n/kg formula for homework problems, lab reports, and exam preparation. Researchers and industrial chemists use molality for:
This free online molality tool operates entirely within your browser - no data is sent to any server, ensuring your privacy and enabling offline use. It supports 4 mass units (kg, g, mg, lb) and 3 molality output units (mol/kg, mol/g, mmol/kg), with automatic unit conversion. Whether you are a student verifying a homework problem, a lab technician preparing a precise solution, or a researcher conducting thermodynamic experiments, this calculator is your go‑to solution.
Using this molal concentration calculator is simple. Follow these steps:
Advanced note: If you have the solute mass and its molar mass, you can first compute moles as: n = mass (g) / M (g/mol). Many lab preparators prepare stock solutions using this two‑step process.
Molality (m) is a concentration unit defined as the number of moles of solute per kilogram of solvent. It is expressed in mol/kg (moles per kilogram), often written as "molal" and abbreviated as "m". A 1 molal solution contains exactly one mole of solute dissolved in exactly one kilogram of solvent.
The formula can be derived from the definition of the mole:
The SI unit for molality is mol/kg. A solution of concentration 1 mol/kg is also sometimes denoted as 1 molal. However, the term "molal" is now officially deprecated and the unit is simply "mol/kg", "m" (lowercase m), or "mole per kilogram".
Molality and molarity are both concentration units, but they differ in their denominators and how they respond to temperature. Understanding the difference is critical for correct solution preparation and theoretical calculations.
| Property | Molality (m) | Molarity (M) |
|---|---|---|
| Definition | moles of solute per kilogram of solvent | moles of solute per liter of solution |
| Formula | m = n / kg_solvent | M = n / V_solution (in L) |
| SI Unit | mol·kg⁻¹ (mol/kg) | mol·L⁻¹ (mol/L or M) |
| Temperature Dependence | Independent (mass doesn't change with T) | Dependent (volume expands/contracts) |
| Common Use | Colligative properties, thermodynamics | Routine lab work, titrations |
Because molality uses the mass of the solvent (in kg) rather than the volume of the solution, it is independent of temperature. Mass does not change with temperature, so a 1 molal solution prepared at 20°C will still be 1 molal at 80°C. In contrast, molarity uses the volume of the solution, which expands with increasing temperature - thus a 1 M solution at 20°C will have a slightly different concentration at 80°C. This temperature‑independence makes molality the correct unit for calculating colligative properties such as boiling point elevation and freezing point depression.
For dilute aqueous solutions, the numerical values of molality and molarity are often close because 1 kg of water occupies approximately 1 L of volume. However, for concentrated or non‑aqueous solutions, the difference can be significant, and the correct unit must be chosen carefully.
| Unit | Symbol | Value in kg | Common Uses |
|---|---|---|---|
| Milligram | mg | 1 × 10⁻⁶ | Trace chemistry, pharmaceutical research |
| Gram | g | 0.001 | Lab measurements, analytical chemistry |
| Ounce | oz | 0.0283495 | Food chemistry, small‑scale industrial work (US) |
| Pound | lb | 0.453592 | Industrial chemistry, bulk solvents |
| Kilogram | kg | 1 | SI base unit; standard in molality definition |
| Unit | Symbol | Value in mol/kg | Common Uses |
|---|---|---|---|
| Millimoles per kg | mmol/kg | 0.001 | Trace analysis, biochemistry, physiology |
| Moles per gram | mol/g | 1000 | When solvent mass is in grams (rare) |
| Moles per kg | mol/kg | 1 | SI unit, standard in chemistry |
2.0 moles of NaCl are dissolved in 1.00 kg of water. The molality is:
18 g of glucose (C₆H₁₂O₆, molar mass = 180 g/mol) are dissolved in 200 g of water. First find moles: 18 g / 180 g/mol = 0.10 mol. Then convert solvent mass to kg: 200 g = 0.20 kg.
You have 10.0 g of NaCl (molar mass = 58.44 g/mol) dissolved in 100.0 g of water. Moles = 10.0 g / 58.44 g/mol = 0.171 mol. Solvent mass in kg = 0.1000 kg.
The boiling point of a solution increases when a non‑volatile solute is added. The boiling point elevation (ΔTb) is directly proportional to the molality of the solution: ΔTb = Kb × m, where Kb is the ebullioscopic constant of the solvent. This relationship is used to determine the molar mass of an unknown solute.
Similarly, the freezing point of a solution decreases in proportion to its molality: ΔTf = Kf × m, where Kf is the cryoscopic constant. This is the principle behind deicing roads and antifreeze in car radiators. The same equation is used in cryoscopy to find the molar mass of unknown compounds.
For ideal dilute solutions, the osmotic pressure (Π) is given by Π = mRT (when molality is approximately equal to molarity). This is fundamental to understanding biological membrane transport and designing controlled‑release drug formulations.
In batteries, fuel cells, and corrosion studies, the concentration of ions is often expressed as molality because it is temperature‑independent. Electrolyte behavior over a wide temperature range can be reliably predicted using molality.
Use the formula m = n / kg_solvent. Simply enter the number of moles of solute and the mass of the solvent (in kg). Our calculator automatically converts any mass unit to kilograms before performing the division.
Molality (m) is moles of solute per kilogram of solvent. Molarity (M) is moles of solute per liter of solution. Molality does not change with temperature, while molarity does. This makes molality the correct unit for colligative properties and precise thermodynamic calculations.
Colligative properties (boiling point elevation, freezing point depression, osmotic pressure) depend only on the number of solute particles, not their identity. Because molality is based on the mass of solvent, it is independent of temperature, making it the ideal unit for these calculations.
The SI unit for molality is mol/kg (moles per kilogram). It is often written as "m" (lowercase m). Although the term "molal" is still seen, it is deprecated; the correct unit is simply "mol/kg", "mol·kg⁻¹", or "m".
Yes. As long as you know the mass of the pure solvent (in kg), the calculator works for any solvent - water, ethanol, acetone, benzene, etc. The molality formula does not depend on the identity of the solvent.
The calculator uses the exact formula m = n / kg_solvent with results displayed to 6 decimal places. It is more than accurate enough for educational labs, industrial QC, and research applications.
Absolutely. All calculations happen locally in your browser using JavaScript. No data is transmitted to any server - your inputs remain on your own device. This ensures your privacy and also means the tool works offline after the initial page load.
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