Mole Fraction Calculator

Calculate Mole Fraction

How to Calculate Mole Fraction

Mole fraction is a fundamental concept in chemistry that expresses the concentration of a component in a mixture. It's particularly useful in solution chemistry and thermodynamics. This calculator helps you determine the mole fraction of a solute in a solution.

What is the Formula?

The formula for calculating mole fraction is:

\[ \text{Mole Fraction of Solute} = \frac{\text{number of moles of solute}}{\text{total number of moles in solution}} \]

Where:

  • Number of moles of solute is the quantity of the component of interest
  • Total number of moles in solution is the sum of moles of all components (solute + solvent)

What are the calculation steps?

  1. Determine the number of moles of solute
  2. Determine the number of moles of solvent
  3. Calculate the total number of moles in the solution by adding solute and solvent moles
  4. Divide the number of moles of solute by the total number of moles

Example Calculation

Let's calculate the mole fraction of glucose in a solution containing 1 mole of glucose and 9 moles of water:

Step 1: Identify the values

  • Moles of solute (glucose) = 1 mole
  • Moles of solvent (water) = 9 moles

Step 2: Calculate total moles in solution

Total moles = Moles of solute + Moles of solvent = 1 + 9 = 10 moles

Step 3: Apply the mole fraction formula

Mole Fraction of glucose = 1 mole / 10 moles = 0.1

Therefore, the mole fraction of glucose in this solution is 0.1 or 10%.

Diagram of Mole Fraction

The following diagram illustrates the concept of mole fraction:

Mole Fraction Representation Solute Solvent

In this diagram, the green area represents the proportion of solute (mole fraction = 0.1), while the blue area represents the solvent (mole fraction = 0.9). The total area represents the entire solution.