Calculate any unknown variable using the dilution formula C1V1 = C2V2 for lab preparation and solution concentration adjustment.
C₁V₁ = C₂V₂
Where:
Problem: How much 10 M stock solution is needed to make 100 mL of 1 M solution?
Given: C₁ = 10 M, V₁ = ?, C₂ = 1 M, V₂ = 100 mL
Solution: V₁ = (C₂ × V₂) / C₁ = (1 × 100) / 10 = 10 mL
Answer: Take 10 mL of 10 M stock and dilute to 100 mL total volume
Diagram: Step-by-step dilution process showing how concentrated stock solution is diluted with solvent to achieve desired final concentration.
Diagram: Serial dilution process showing progressive dilution steps to achieve very low concentrations through multiple dilution stages.
Solution dilution is a fundamental laboratory technique used to reduce the concentration of a solute in a solution by adding more solvent. The principle is based on the conservation of mass - the amount of solute remains constant, but the volume increases, resulting in a lower concentration. This technique is essential in analytical chemistry, biochemistry, and countless laboratory applications.
The dilution formula C₁V₁ = C₂V₂ represents the conservation of moles or mass of solute. This relationship holds true regardless of the concentration units used, making it universally applicable for molarity, molality, normality, or percentage concentrations. Understanding this principle is crucial for accurate laboratory work and quantitative analysis.
In practice, dilutions are commonly expressed as ratios (1:10, 1:100) or factors (10-fold, 100-fold). A 1:10 dilution means one part of stock solution is mixed with nine parts of solvent, resulting in a 10-fold decrease in concentration. Serial dilutions extend this concept, creating a series of progressively more dilute solutions by performing multiple dilution steps.
Common applications include preparing standards for calibration curves, adjusting concentrations for biological assays, and creating working solutions from concentrated stocks. In microbiology, serial dilutions are used for bacterial enumeration and antibiotic susceptibility testing. Pharmaceutical laboratories use dilutions for drug concentration adjustments and quality control testing.
Accuracy in dilution preparation is critical for reliable results. Volumetric glassware should be used for precise measurements, and temperature effects on volume should be considered. Proper mixing ensures homogeneity, and immediate labeling prevents confusion. Understanding dilution principles also helps in troubleshooting analytical problems and optimizing experimental protocols.
Standard preparation, calibration curves, sample dilution for analysis
Enzyme assays, protein dilutions, buffer preparation
Colony counting, antimicrobial testing, culture preparation
Based on 3 reviews
Perfect for lab preparation! The C1V1=C2V2 calculator works flawlessly. Makes dilution calculations so much easier for my students.
Excellent tool for analytical chemistry. The interface is intuitive and calculations are always accurate. Highly recommended!
Great calculator for teaching dilution concepts. Students find it very helpful for understanding the relationship between concentrations and volumes.
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