Step 1: Definition of Mole Fraction
Mole fraction (\(X\)) of a component in a mixture is the ratio of the number of moles of that component to the total number of moles in the mixture.
\[
X_A = \frac{\text{moles of component A}}{\text{total moles in the solution}}
\]
Step 2: Example
Consider a solution containing 2 moles of ethanol (\(C_2H_5OH\)) and 3 moles of water (\(H_2O\)).
\[
X_{\text{ethanol}} = \frac{2}{2+3} = \frac{2}{5} = 0.4, \quad X_{\text{water}} = \frac{3}{5} = 0.6
\]