Dilution Examples in Chemistry

Start with the recap, study the fully worked examples, then use the practice problems to check your understanding of Dilution.

This page combines explanation, solved examples, and follow-up practice so you can move from recognition to confident problem-solving in Chemistry.

Concept Recap

The process of adding more solvent to a solution in order to lower its concentration.

Watering down a drinkβ€”same amount of flavor, more liquid, weaker taste.

Read the full concept explanation β†’

How to Use These Examples

  • Read the first worked example with the solution open so the structure is clear.
  • Try the practice problems before revealing each solution.
  • Use the related concepts and background knowledge badges if you feel stuck.

What to Focus On

Core idea: The moles of solute remain constant during dilution β€” only the volume and concentration change.

Common stuck point: Always add acid to water when diluting, never water to acid β€” the heat released can cause dangerous splashing.

Worked Examples

Example 1

easy
How much water must be added to 100\,\text{mL} of 6.0\,\text{M HCl} to make a 1.0\,\text{M} solution?

Solution

  1. 1
    Use M_1V_1 = M_2V_2: 6.0 \times 100 = 1.0 \times V_2.
  2. 2
    V_2 = 600\,\text{mL}.
  3. 3
    Water to add = 600 - 100 = 500\,\text{mL}.

Answer

500\,\text{mL of water}
Dilution does not change the number of moles of solute β€” it only increases the total volume. The dilution equation M_1V_1 = M_2V_2 reflects this conservation.

Example 2

medium
A stock solution of \text{H}_2\text{SO}_4 is 12.0\,\text{M}. What volume is needed to prepare 500\,\text{mL} of 0.60\,\text{M} solution?

Practice Problems

Try these problems on your own first, then open the solution to compare your method.

Example 1

easy
You dilute 50\,\text{mL} of 4.0\,\text{M NaOH} to a final volume of 200\,\text{mL}. What is the new concentration?

Example 2

easy
How much 6.0\,\text{M} hydrochloric acid is needed to prepare 250 mL of 1.5\,\text{M} HCl?

Related Concepts

Background Knowledge

These ideas may be useful before you work through the harder examples.

concentration