Calculadora de Diluição Serial
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
Cₙ = C₀ × (Va/Vt)ⁿ
About this calculator
The Serial Dilution Calculator determines the final concentration of a solution after multiple serial dilutions. The process involves transferring a fixed volume aliquot from an initial solution into a container with a larger volume of diluent, mixing, and repeating the procedure with the new diluted solution. The formula used is Cₙ = C₀ × (Va/Vt)ⁿ, where C₀ is the initial concentration, Va is the aliquot volume transferred, Vt is the total volume of the new solution (Va plus diluent volume), and n is the number of dilutions. This tool is essential in chemistry, biology, and pharmacy laboratories for preparing solutions with precise and decreasing concentrations.
Practical uses include preparing standards for calibration curves in spectrophotometry, microbiological sensitivity tests, and toxicology experiments. For example, a researcher can dilute a 1 mg/mL sample through a series of 10 dilutions, each with a 1:10 dilution factor, obtaining concentrations of 0.1 mg/mL, 0.01 mg/mL, and so on. The calculator streamlines this calculation, preventing manual errors and ensuring reproducibility. It is important to note that the dilution factor (Va/Vt) must be constant at each step for the series to be uniform.
Common precautions include thorough homogenization after each dilution and using calibrated volumetric glassware for accuracy. The calculator assumes ideal dilutions without losses or contamination. For series with different factors, step-by-step calculation is required. Additionally, the final concentration should never be below the detection limit of the analytical method used. This tool is free and online, available for any user needing quick and reliable serial dilution calculations.
Frequently asked questions
How do I calculate the concentration after 5 dilutions?
Enter the initial concentration, aliquot volume, total volume, and number of dilutions (5). The calculator automatically applies the formula Cₙ = C₀ × (Va/Vt)⁵.
What does dilution factor mean?
Dilution factor is the ratio of aliquot volume to total volume (Va/Vt). For example, transferring 1 mL into 9 mL of diluent gives a factor of 1/10.
Can I use different volumes at each step?
The calculator assumes a constant dilution factor. If volumes vary, you need to calculate each step separately.
What concentration unit does the calculator use?
It accepts any concentration unit (mg/mL, mol/L, etc.) as long as the same unit is used for C₀ and the result.
Does the calculator account for transfer losses?
No. The calculation is theoretical and assumes perfect transfers. In practice, use calibrated pipettes and mix thoroughly.