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Solution Dilution Calculator

Calculate concentrations and volumes for diluted solutions. Create precise serial dilutions and determine final concentration values for laboratory work.

About Solution Dilution Calculator

Understanding Solution Dilution

The concept of dilution dates back to ancient civilizations, with early alchemists and physicians using dilution techniques for medicines. The mathematical framework was formalized in the 18th century with the development of quantitative chemistry, particularly through the work of Antoine Lavoisier, often called the "father of modern chemistry."

Mathematical Foundation

C₁V₁ = C₂V₂
V₂ = (C₁V₁)/C₂
Dilution Factor = C₁/C₂ = V₂/V₁

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

Types of Dilutions

Serial Dilutions:

  • Sequential dilution steps where each new solution is made from the previous dilution
  • Each step maintains a consistent dilution factor
  • Used in microbiology for bacterial culture counting
  • Common ratios include 1:2 and 1:10

Stock Solutions:

  • Concentrated starting solutions
  • Designed for long-term storage
  • Space-efficient storage of reagents
  • Cost-effective preparation method

Practical Applications

Laboratory Research:

  • Buffer preparation
  • Standard solutions
  • Reagent preparation
  • Quality control protocols

Clinical Applications:

  • Drug preparation
  • IV solutions
  • Diagnostic tests
  • Blood analysis

Concentration Units

UnitSymbolUsage
MolarityMStandard unit in chemistry
NormalityNAcid-base chemistry
Parts per millionppmTrace analysis
Weight/volumew/v%Biological applications

Error Considerations

Measurement Errors:

  • Glassware tolerance variations
  • Temperature effects
  • Volume measurement techniques
  • Concentration uncertainty propagation

Solution Properties:

  • Non-ideal behavior
  • Density changes upon mixing
  • Solubility limits
  • Chemical reactions

Best Practices

Preparation:

  • Clean glassware
  • Calibrated equipment
  • Temperature control
  • Proper mixing techniques

Documentation:

  • Solution labels
  • Preparation date
  • Expiration date
  • Storage conditions