Dilution Calculation for Creatinine Solution
To make 100 mL of a 0.1 mg/mL solution from a 200 mg/dL stock creatinine solution, you need 5 mL of the stock solution.
Step-by-Step Calculation Process
First, convert the target concentration to the same units as the stock solution:
- Target: 0.1 mg/mL = 10 mg/dL (since 1 dL = 100 mL)
Apply the dilution formula V₁C₁ = V₂C₂:
- V₁ = volume of stock solution needed
- C₁ = concentration of stock solution (200 mg/dL)
- V₂ = final volume desired (100 mL = 1 dL)
- C₂ = final concentration desired (10 mg/dL)
Solve for V₁:
- V₁ = (V₂ × C₂) ÷ C₁
- V₁ = (1 dL × 10 mg/dL) ÷ 200 mg/dL
- V₁ = 10 mg/dL ÷ 200 mg/dL
- V₁ = 0.05 dL = 5 mL
Therefore, you need to add 5 mL of the 200 mg/dL stock solution to enough diluent to make a final volume of 100 mL.
Important Considerations for Laboratory Dilutions
- When preparing laboratory solutions, always use calibrated pipettes and volumetric flasks for accurate measurements.
- For volumes less than 0.1 mL, special attention is needed as these small volumes are prone to measurement errors 1.
- Always document the dilution process and label the final solution with concentration, date of preparation, and expiration date.
- For clinical laboratory work, follow standardized protocols to ensure consistency and reliability in test results.
Verification of Calculation
To verify the calculation:
- 5 mL of 200 mg/dL solution contains 10 mg of creatinine
- When diluted to 100 mL, the concentration becomes 10 mg/100 mL = 0.1 mg/mL
This dilution approach ensures accurate preparation of the desired creatinine solution for laboratory testing or research purposes.