Chemistry Formula

Solution Dilution Formula

Relates concentration and volume before and after dilution.

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Formula Summary

Solution Dilution

Relates concentration and volume before and after dilution.

Category
Chemistry
Equation
C₁V₁ = C₂V₂
Calculator
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Equation

C₁V₁ = C₂V₂

Variables

  • C = concentration
  • V = volume
  • 1 = initial
  • 2 = final

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

The dilution formula describes how the concentration of a solution changes when more solvent is added. The amount of dissolved solute remains constant while the solution volume increases.

Worked Example

If 100 mL of a 2 M solution is diluted to 500 mL, the final concentration is (2 × 100) ÷ 500 = 0.4 M.

Common Mistakes

  • Mixing initial and final concentration values.
  • Using inconsistent volume units.
  • Assuming the amount of solute changes during dilution.

Applications

  • Preparing laboratory solutions.
  • Creating standard chemical concentrations.
  • Analytical chemistry experiments.

Related Formulas

Molarity

M = n ÷ V

Expresses solution concentration as moles per liter.

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Molality

m = n ÷ kg solvent

Expresses concentration as moles per kilogram of solvent.

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Percent Yield

% yield = actual ÷ theoretical × 100

Compares the measured product yield with the theoretical yield.

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Mole Fraction

Xᵢ = nᵢ ÷ nₜₒₜₐₗ

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

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More Chemistry Formulas

Molarity

M = n ÷ V

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Molality

m = n ÷ kg solvent

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Ideal Gas Law

PV = nRT

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pH

pH = −log₁₀[H⁺]

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Related Calculators

Related Guides

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