To calculate the molality from mole fraction:
\[ m = \frac{X \cdot \left(\frac{1000}{M}\right)}{1 - X} \]
Where:
Mole fraction to molality is a conversion process used in chemistry to express the concentration of a solute in a solution. Mole fraction is the ratio of the number of moles of a component to the total number of moles in the mixture, while molality is the number of moles of solute per kilogram of solvent. This conversion is important in various chemical calculations and processes, as it allows for the determination of the concentration of a solution in different units, which can be more convenient for certain applications.
Let's assume the following values:
Using the formula:
\[ m = \frac{0.2 \cdot \left(\frac{1000}{50}\right)}{1 - 0.2} = \frac{0.2 \cdot 20}{0.8} = \frac{4}{0.8} = 5 \]
The molality is 5 mol/kg.
