Concentration Calculation Triangle

Concentration of Solutions

Concentration of Solutions

solution is made when a solute (e.g. salt) dissolves in a solvent (e.g. water). The concentration tells us how much solute is dissolved in a certain volume of solvent.

 


What is concentration?

  • Concentration is a measure of how much solute is dissolved in a given volume of solution
  • It is usually measured in g/dm³ (grams per decimetre cubed)
 

Concentration formula

To calculate concentration, use the following triangle to help:

 

Concentration Calculation Triangle

m = mass (g)
C = concentration (g/dm³)
V = volume (dm³)

 

Formulas

 

  • Concentration = mass ÷ volume
  • Mass = concentration × volume
  • Volume = mass ÷ concentration
 

💡 1 dm³ = 1000 cm³ (so divide cm³ by 1000 to convert to dm³)

 


Example 1: Calculate concentration

Question:
What is the concentration of a solution made by dissolving 10 g of salt in 0.25 dm³ of water?

Answer:
Concentration = 10 ÷ 0.25 = 40 g/dm³

 


Example 2: Calculate mass of solute

Question:
How much solute is in 200 cm³ of solution with a concentration of 15 g/dm³?

Step 1: Convert 200 cm³ to dm³  200 ÷ 1000 = 0.2 dm³
Step 2: Mass = concentration × volume = 15 × 0.2 = 3 g

 


Example 3: Calculate volume

Question:
How much solution is needed to dissolve 5 g of solute at a concentration of 10 g/dm³?

Answer:
Volume = 5 ÷ 10 = 0.5 dm³ (or 500 cm³)

 


Why concentration matters

  • Tells us how strong or dilute a solution is
  • Used in titrationsreactions, and medicine
  • Needed for accurate quantitative chemistry calculations

Questions 

  1. What is concentration a measure of?
  2. What is the unit for concentration?
  3. Convert 250 cm³ into dm³
  4. What is the concentration of 5 g of salt in 0.5 dm³ of solution?
  5. How do you calculate mass from concentration and volume?

Summary 

  • Concentration = mass of solute ÷ volume of solution
  • Measured in g/dm³
  • Convert cm³ to dm³ by dividing by 1000
  • Use the formula triangle to calculate massvolume, or concentration
  • Higher concentration = more solute in the same volume