Dilution Factor

Understanding Concentration

1. What Concentration Means
Concentration refers to the amount of a substance (solute) present in a given volume of solution. It tells you how “strong” or “weak” a solution is. For example, a highly concentrated solution contains a large amount of solute in a small volume, while a dilute solution contains a smaller amount of solute in the same volume.


2. Common Units of Concentration
Concentration can be expressed in different units depending on the context:

  • g/L (grams per litre):
    Amount of solute in grams dissolved in one litre of solution.
    Example: 5 g/L means 5 grams of solute in 1 litre.

  • mg/mL (milligrams per millilitre):
    Common in medical and laboratory settings.
    Example: 2 mg/mL means 2 milligrams in 1 mL.

  • mol/L (molarity, M):
    Number of moles of solute per litre of solution.
    Example: 1 mol/L means 1 mole of substance in 1 litre.


3. Relationship Between Concentration and Dilution
Dilution reduces the concentration of a solution by adding more solvent (usually water). The amount of solute remains the same, but the total volume increases.

This relationship is expressed as:
C₁V₁ = C₂V₂

Where:

  • C₁ = initial concentration

  • V₁ = initial volume

  • C₂ = final concentration

  • V₂ = final volume

Key Idea:

  • As volume increases → concentration decreases

  • As volume decreases → concentration increases

Example:
If you dilute 10 mL of a solution to 100 mL, the concentration becomes 10 times less (a 1:10 dilution).