Dilution Calculator

Easily calculate the volume of solution or solvent needed to dilute to your desired concentration. Supports molarity, percentage, and ratio units.

Calculate Your Dilution
0 - 50 M
0 - 1000 mL
0 - 50 M
0 - 1000 mL
Understanding the Dilution Formula
C₁ × V₁ = C₂ × V₂

The fundamental dilution equation where the product of concentration and volume remains constant

Variables:

  • C₁ = Initial concentration
  • V₁ = Initial volume
  • C₂ = Final concentration
  • V₂ = Final volume

Example Calculation:

Problem: Dilute 50 mL of 12 M HCl to 3 M

Solution: V₂ = (C₁ × V₁) ÷ C₂

V₂ = (12 M × 50 mL) ÷ 3 M = 200 mL

Important Assumptions:

  • • Solutions are additive (no significant volume change upon mixing)
  • • Temperature remains constant during dilution
  • • No chemical reactions occur during mixing

What is Dilution?

Dilution is the process of reducing the concentration of a solution by adding more solvent. This technique is fundamental in chemistry, allowing precise control over solution strength for experiments, manufacturing, and analytical procedures.

Units
  • Molarity (M): moles per liter
  • Percentage (%): weight/volume or volume/volume
  • g/L: grams per liter
  • Volume: mL or L
Notes
  • • Always add acid to water, never water to acid
  • • Mix solutions slowly to avoid heat generation
  • • Use appropriate safety equipment
  • • Account for temperature effects on volume
Related Calculators
  • • Molarity Calculator
  • • Normality Calculator
  • • Molality Calculator
  • • Solution Preparation
Where is Dilution Used?

Laboratory Applications

  • • Reagent preparation for experiments
  • • Sample preparation for analysis
  • • Buffer solution preparation
  • • Standard solution preparation
  • • Calibration curve preparation

Industrial Applications

  • • Beverage manufacturing
  • • Chemical manufacturing
  • • Pharmaceutical production
  • • Cosmetics formulation
  • • Water treatment processes

Common Examples:

Laboratory: Diluting concentrated HCl from 37% to 1 M working solution
Food Industry: Diluting fruit juice concentrate to drinking strength
Medicine: Preparing injection solutions from concentrated drugs
Agriculture: Diluting pesticide concentrates for field application

Frequently Asked Questions

Common questions about dilution calculations and procedures

Can dilution change pH?

Yes, dilution can affect pH. For strong acids and bases, dilution will move pH toward neutral (7). For weak acids/bases and buffer solutions, the pH change depends on the specific system and may be minimal.

What units should I use?

Use consistent units throughout your calculation. Common combinations include: Molarity (M) with mL or L, percentage (%) with mL, or g/L with L. The calculator handles unit conversions automatically.

Does dilution affect molarity and molality equally?

No. Dilution directly affects molarity (moles per liter of solution) but has a more complex effect on molality (moles per kg of solvent) since you're adding solvent mass.

How do I calculate the amount of solvent to add?

Calculate the final volume (V₂) using the dilution formula, then subtract the initial volume (V₁). The difference is the amount of solvent to add: Solvent to add = V₂ - V₁.

What safety precautions should I take?

Always wear appropriate PPE, add acid to water (never the reverse), work in a well-ventilated area, and add solutions slowly to prevent heat buildup. Some dilutions can be highly exothermic.

Can I use this for serial dilutions?

Yes, but you'll need to perform the calculation for each step. For serial dilutions, each step becomes the 'initial' condition for the next dilution step.