How to Use This Calculator
- Enter the concentration of your stock solution (C₁) along with its units (Molarity, mg/mL, etc.).
- Enter the desired final concentration (C₂) and its units (must match stock solution units).
- Enter the final volume (V₂) you want to achieve and its units (must match stock solution volume units).
- Click the "Calculate" button to determine the required volumes.
- The calculator will display the volume of stock solution needed (V₁) and the volume of additive (e.g., solvent) required.
Understanding Ten-Fold Dilutions
A ten-fold dilution means that the concentration of the solution is reduced to 1/10th of its original value. This is achieved by mixing one part of the stock solution with nine parts of the diluent (additive).
The formula used is:
C₁V₁ = C₂V₂
Where:
- C₁ = Initial concentration of the stock solution
- V₁ = Volume of stock solution to be used
- C₂ = Final concentration after dilution
- V₂ = Final total volume after dilution
Example
Suppose you have a 1.0 M stock solution and you want to prepare 100 mL of a 0.1 M solution:
- C₁ = 1.0 M
- C₂ = 0.1 M
- V₂ = 100 mL
- V₁ = (0.1 M × 100 mL) / 1.0 M = 10 mL
- Therefore, you need 10 mL of the stock solution and 90 mL of diluent to make 100 mL of 0.1 M solution.
Common Applications
This calculator is particularly useful in laboratory settings for:
- Preparing serial dilutions in experiments
- Creating standard solutions for calibration curves
- Adjusting concentrations for specific experimental requirements
- Working with biological samples (cells, proteins, etc.)