Dilution

Solutions
process

Grade 9-12

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The process of decreasing the concentration of a solution by adding more solvent while keeping the total amount of solute constant. Dilution is how laboratory solutions of precise concentrations are prepared from concentrated stock solutions.

Definition

The process of decreasing the concentration of a solution by adding more solvent while keeping the total amount of solute constant.

πŸ’‘ Intuition

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

🎯 Core Idea

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

Example

Dilute 100 mL of 2M HCl with water to 200 mL total β†’ resulting concentration is 1M.

Formula

M_1V_1 = M_2V_2 (molarity Γ— volume before = molarity Γ— volume after)

Notation

M_1 and M_2 are the initial and final molarities (mol/L), V_1 and V_2 are the initial and final volumes. The product MV equals total moles of solute.

🌟 Why It Matters

Dilution is how laboratory solutions of precise concentrations are prepared from concentrated stock solutions. Pharmacists dilute medications to safe dosages, water treatment plants dilute chemicals for purification, and biologists prepare serial dilutions for cell culture experiments.

πŸ’­ Hint When Stuck

When solving dilution problems, apply M_1V_1 = M_2V_2 directly. First identify the known quantities β€” the initial concentration M_1, initial volume V_1, and either the final concentration M_2 or final volume V_2. Then solve for the unknown by rearranging the equation. Finally, check that your answer makes sense: diluting always decreases concentration and increases volume.

Formal View

Dilution conserves the moles of solute: n_1 = n_2, therefore c_1V_1 = c_2V_2, where c is molar concentration and V is volume. This assumes ideal mixing with no volume change upon mixing (valid for dilute solutions).

Related Concepts

🚧 Common Stuck Point

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

⚠️ Common Mistakes

  • Using the volume of solvent added instead of the total final volume β€” V_2 is the total volume of the final solution, not just the amount of solvent added
  • Forgetting to match units β€” both volumes must be in the same unit (both mL or both L) for the equation to work
  • Adding water to concentrated acid instead of acid to water β€” this is a safety hazard because the exothermic mixing can cause violent boiling and splashing

Frequently Asked Questions

What is Dilution in Chemistry?

The process of decreasing the concentration of a solution by adding more solvent while keeping the total amount of solute constant.

What is the Dilution formula?

M_1V_1 = M_2V_2 (molarity Γ— volume before = molarity Γ— volume after)

When do you use Dilution?

When solving dilution problems, apply M_1V_1 = M_2V_2 directly. First identify the known quantities β€” the initial concentration M_1, initial volume V_1, and either the final concentration M_2 or final volume V_2. Then solve for the unknown by rearranging the equation. Finally, check that your answer makes sense: diluting always decreases concentration and increases volume.

Prerequisites

Next Steps

How Dilution Connects to Other Ideas

To understand dilution, you should first be comfortable with concentration. Once you have a solid grasp of dilution, you can move on to titration.

Visualization

Static

Visual representation of Dilution