#3301 · Science & Engineering Tool

Serial Dilution Concentration Calculator

Estimate the concentration remaining after a repeated serial dilution. Enter the starting concentration, transfer and diluent volumes, and number of dilution steps to see the per-step dilution factor, final concentration, and total dilution.

Calculator

Enter assumptions
unit
Use any concentration unit consistently.
mL
Aliquot moved at every step.
mL
Fresh diluent in every receiving vessel.
Whole dilution transfers.

How to use this calculator

  1. Enter the inputs using consistent units.
  2. Review rate, timing, and scope assumptions.
  3. Select Calculate to update every result.
  4. Change one assumption at a time to compare scenarios.

Formula

Cfinal = Cstart × [Vtransfer ÷ (Vtransfer + Vdiluent)]n

The same transfer and diluent volumes are assumed at every step.

What the result means

The main result is the expected analyte concentration in the last vessel, before accounting for pipetting uncertainty, incomplete mixing, adsorption, or degradation.

This theoretical estimate assumes accurate transfers and complete mixing; laboratory results should be verified with appropriate controls and measurement uncertainty.

Example calculation

Starting at 100 units with a 1 mL transfer into 9 mL diluent gives a 1:10 step. Six steps produce a 1:1,000,000 total dilution and a final concentration of 0.0001 units.

Tips for better results

  • Keep units consistent from input through result.
  • Use unrounded values during the calculation and round only the displayed result.
  • Run a conservative and an optimistic scenario before acting.
  • Document assumptions so the estimate can be reproduced.

Frequently asked questions

How do I calculate concentration after several 1:10 dilutions?

Divide the starting concentration by 10 raised to the number of dilution steps.

Does the calculator assume fresh diluent at every step?

Yes. Each receiving vessel is assumed to contain the entered fresh diluent volume.

Can I use microliters instead of milliliters?

Yes. Transfer and diluent volumes may use any identical volume unit.

What happens when no diluent is added?

The per-step fraction is one, so the concentration does not change.

Does this include pipetting error?

No. The result is theoretical and does not model transfer, mixing, or measurement uncertainty.

Serial dilution variables

VariableMeaning
CstartConcentration before the first transfer
Transfer / total volumeFraction retained per step
nNumber of equal dilution steps

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