What Is Molality and How Do You Calculate It?

Understanding solution concentration is fundamental in many scientific fields. Different methods exist to express concentration. Molality is one such method, quantifying the amount of a dissolved substance within a solvent. It is particularly valuable when environmental conditions might influence other concentration measurements.

Understanding Molality

Molality, represented by a lowercase ‘m’, provides a precise way to describe the concentration of a solution. It is defined as the number of moles of a solute per kilogram of a solvent.

In a solution, the solute is the dissolved substance, and the solvent is the dissolving medium. For instance, when salt dissolves in water, salt is the solute and water is the solvent.

The unit for molality is moles per kilogram (mol/kg), sometimes also denoted as “molal” or “m”. This definition emphasizes that molality is based on the mass of the solvent, distinguishing it from other concentration units. This mass-based approach is useful in various chemical calculations and applications.

Molality Compared to Molarity

Molality and molarity both measure solution concentration but differ in definition and application. Molarity (M) is defined as the number of moles of solute per liter of the entire solution.

A primary distinction lies in their dependence on temperature. Molality is independent of temperature because it relies on the mass of the solvent, which does not change with temperature. In contrast, molarity is temperature-dependent because the volume of a solution can expand or contract with temperature changes. For example, as temperature increases, the volume of a solution typically increases, which would cause its molarity to decrease if the amount of solute remains constant. This difference makes molality a more consistent measure for certain scientific contexts.

Why Molality is Used

Molality’s temperature independence makes it useful in scientific and industrial applications, as it offers a consistent measure of concentration even when the solution’s temperature varies. This consistency is particularly beneficial for experiments or processes where temperature fluctuations are expected or occur naturally.

Molality is also the preferred concentration unit for calculations involving colligative properties. Colligative properties are characteristics of solutions that depend solely on the number of solute particles present, not on their chemical identity. These properties include boiling point elevation, freezing point depression, vapor pressure lowering, and osmotic pressure. Because molality is unaffected by volume changes due to temperature, it provides accurate measurements for these properties, which are valuable for understanding the behavior of solutions under different conditions.

How to Calculate Molality

Calculating molality involves a straightforward formula requiring the moles of solute and the mass of the solvent in kilograms. The formula for molality (m) is: moles of solute / kilograms of solvent. First, determine the moles of the solute. If the solute’s mass is given in grams, convert it to moles by dividing by its molar mass.

If the solvent’s mass is in grams, convert it to kilograms by dividing by 1000. For example, if 5.0 grams of sodium chloride (NaCl) are dissolved in 25.0 grams of water: The molar mass of NaCl is approximately 58.44 g/mol, yielding 0.086 moles from 5.0 g. 25.0 g of water converts to 0.0250 kg. Dividing 0.086 mol by 0.0250 kg gives a molality of 3.44 mol/kg or 3.44 m.