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Concentration Units Converter

Enter the mass and molar mass of the solute, the mass and molar mass of the solvent, and the density of the solution. The tool computes molarity, molality, mole fraction, mass percent, ppm, and ppb at once, with the formula shown for each unit.

Describe the Solution

g
g/mol
g
g/mol
g/mL

Water molar mass is 18.015 g/mol. Density relates molarity (per liter of solution) to molality (per kilogram of solvent), so an accurate density is needed to convert between them.

All Concentration Units

Moles solute
1 mol
Moles solvent
55.509 mol
Solution mass
1,058.44 g
Solvent mass
1 kg
Solution volume
1.0177 L
Molarity0.9826 mol/L
Molality1 mol/kg
Mole fraction (solute)0.0177
Mass percent (% w/w)5.5213 %
ppm (by mass)55,213.33
ppb (by mass)55,213,332.8

Reference Guide to Concentration Units

Molarity (mol/L)

Molarity is the number of moles of solute divided by the volume of the whole solution in liters. It is the most common unit in titrations and stoichiometry because reactions are measured by volume in the lab.

M = moles of solute / liters of solution

Molarity changes slightly with temperature because the volume of a liquid expands when warmed, so the same amount of solute sits in a larger volume.

Molality (mol/kg)

Molality is the number of moles of solute divided by the mass of the solvent in kilograms. Because it depends on mass rather than volume, it does not change with temperature.

m = moles of solute / kilograms of solvent

Molality is used for colligative properties such as boiling point elevation and freezing point depression, where the temperature independence matters.

Why Density Is Needed

Molarity is measured per liter of solution, but molality is measured per kilogram of solvent. To move between a volume and a mass you need the density of the solution.

liters of solution = (mass of solution / density) / 1000

Mass percent, ppm, and ppb depend only on masses and never need the density. Mole fraction depends only on the moles. Density is the single bridge that lets molarity be compared to all the mass-based units.

Mass Percent and Mole Fraction

Mass percent (% w/w) is the mass of solute divided by the mass of the solution, times 100. Total mass is solute mass plus solvent mass.

% w/w = (mass solute / mass solution) × 100

Mole fraction is the moles of one component divided by the total moles of all components. The mole fractions of every component in a solution add up to exactly 1.

x = moles solute / total moles

ppm and ppb for Trace Amounts

Parts per million (ppm) and parts per billion (ppb) describe very dilute solutions where mass percent would be an awkward fraction of a percent. They are common in water quality, environmental testing, and toxicology.

ppm = (mass solute / mass solution) × 1,000,000

For dilute aqueous solutions where the density is close to 1 g/mL, 1 ppm by mass is roughly 1 milligram of solute per liter of solution. ppb is one thousand times finer than ppm.

Molarity vs Molality

Use molarity when you are dispensing solution by volume, as in a titration or when preparing a reagent to a target volume in a flask. Use molality when temperature changes or when working with colligative properties.

For dilute aqueous solutions near 1 g/mL, molarity and molality are nearly equal. As the solution becomes more concentrated or its density moves away from 1 g/mL, the two values diverge, and that is exactly when the density term matters most.

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