Chemistry Formula

Mole Fraction Formula

Finds a component's fraction of the total amount in a mixture.

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Formula Summary

Mole Fraction

Finds a component's fraction of the total amount in a mixture.

Category
Chemistry
Equation
Xᵢ = nᵢ ÷ nₜₒₜₐₗ
Calculator
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Equation

Xᵢ = nᵢ ÷ nₜₒₜₐₗ

Variables

  • Xᵢ = mole fraction
  • nᵢ = component moles
  • nₜₒₜₐₗ = total moles

How to Use This Formula

  1. Identify the known values from the problem statement.
  2. Convert all values into compatible units.
  3. Substitute the values into the equation and calculate the result.
  4. Check that the final answer has the correct unit and meaning.

Explanation

Mole fraction represents the ratio of the number of moles of one component to the total number of moles in a mixture. It describes the relative amount of each substance present.

Worked Example

A mixture containing 2 moles of oxygen and 8 total moles has an oxygen mole fraction of 2 ÷ 8 = 0.25.

Common Mistakes

  • Using mass instead of moles.
  • Forgetting to include all components in total moles.
  • Confusing mole fraction with molarity.

Applications

  • Analyzing gas mixtures.
  • Solution composition calculations.
  • Chemical mixture analysis.

Related Formulas

Molarity

M = n ÷ V

Expresses solution concentration as moles per liter.

Learn formula →

Molality

m = n ÷ kg solvent

Expresses concentration as moles per kilogram of solvent.

Learn formula →

Mass to Moles

n = m ÷ M

Converts sample mass to amount of substance in moles.

Learn formula →

Ideal Gas Law

PV = nRT

Relates pressure, volume, amount, and temperature of an ideal gas.

Learn formula →

More Chemistry Formulas

Molarity

M = n ÷ V

View formula →

Molality

m = n ÷ kg solvent

View formula →

Solution Dilution

C₁V₁ = C₂V₂

View formula →

Ideal Gas Law

PV = nRT

View formula →

Related Calculators

Related Guides

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