Expressing Concentration

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Qualitative vs Quantitative

Qualitative Description
DiluteConcentrated

We can say that the solution is dilute (relatively very small quantity of solute)

Or it is concentrated (relatively very large quantity of solute)

But this can lead to confusion, so we need quantitative descriptions.

Quantitative Description
C = n/V10%0.5 M5 ppm0.1 m

There are several ways by which we can describe the concentration of the solution quantitatively:

  • Mass percentage
  • Volume percentage
  • Mass by volume percentage
  • Parts per million
  • Mole fraction
  • Molarity
  • Molality

Concentration Units

Let's explore the different ways to express concentration quantitatively:

Mass Percentage (w/w)

The mass percentage of a component of a solution is defined as:

Mass % of a component = (Mass of the component in the solution / Total mass of the solution) × 100

Example: If a solution is described by 10% glucose in water by mass, it means that 10g of glucose is dissolved in 90g of water resulting in a 100g solution.

Real-world application: Commercial bleaching solution contains 3.62 mass percentage of sodium hypochlorite in water.

Solute %:20%
Mass % = (Mass of solute / Total mass) × 10020% solution
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Comparison of Concentration Units

UnitDefinitionTemperature DependenceCommon Uses
Mass %(Mass of solute / Total mass) × 100IndependentIndustrial applications
Volume %(Volume of solute / Total volume) × 100DependentLiquid solutions
PPM(Parts of component / Total parts) × 106IndependentTrace quantities, pollutants
Mole FractionMoles of component / Total molesIndependentVapor pressure calculations
MolarityMoles of solute / Volume in litersDependentLaboratory work
MolalityMoles of solute / Mass of solvent in kgIndependentColligative properties