Serial Dilution Calculator

Use this serial dilution calculator to build a repeatable dilution plan, estimate transfer and diluent volumes, and preview the concentration in each tube of a dilution series.

Dilution Plan

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Quick Answer: A serial dilution repeatedly divides concentration by the same dilution factor. Common planning formulas include minimum volume = experimental volume x repeats x safety factor, transfer volume = minimum volume / (dilution factor - 1), and concentration of tube n = c1 / DF^(n-1).

Formula

Vmin = Vexp x repeats x safety factor; Vtransfer = Vmin / (DF - 1); cn = c1 / DF^(n-1)
VariableMeaningUnit
VminMinimum volume needed in each tubemL or uL
VexpVolume used per experiment or replicatemL or uL
DFDilution factor per stepunitless
VtransferVolume transferred from the previous tubemL or uL
cnConcentration in tube nsame as c1
  1. Choose the planning mode: Use dilution-factor mode when you already know the per-step dilution factor, or concentration-range mode when you know the stock concentration and the target first concentration.
  2. Set the number of dilutions: Pick how many tubes or steps you want in the series. The page then expands the concentration table automatically.
  3. Calculate transfer and diluent volumes: The calculator uses the chosen factor and minimum-volume rule to estimate the transfer from one tube to the next and the diluent required in each new tube.
  4. Review the concentration series: Check the table for the cumulative dilution factor and concentration at each step before preparing the actual samples.

Worked Examples

Dilution-factor mode - Six-step 1:10 series
  • Initial concentration: 100 mg/L
  • Dilution factor: 10
  • Steps: 6
  • Experimental volume: 0.20 mL
  • Repeats: 3
  • Safety margin: 10%

Result: Minimum volume per tube is 0.66 mL and the sixth tube concentration is 0.001 mg/L.

A strong per-step dilution quickly drives the final concentration downward, so volume planning matters.

Concentration-range mode - Prepare a five-tube series from a stock
  • Stock concentration: 10 mg/mL
  • First tube concentration: 1 mg/mL
  • Dilution factor: 5
  • Tube volume: 2.0 mL
  • Steps: 5

Result: The first tube needs 0.20 mL of stock and 1.80 mL of diluent.

The remaining tubes keep the same dilution factor, producing a predictable descending concentration series.

Small-volume workflow - Micropipette planning
  • Initial concentration: 1,000 CFU/mL
  • Dilution factor: 2
  • Steps: 4
  • Experimental volume: 50 uL
  • Repeats: 4
  • Extra volume: 10 uL

Result: The calculator helps confirm whether your planned transfer volumes stay realistic for the pipette range.

Very small tube volumes can become error-prone even when the arithmetic is correct.

FAQ

A serial dilution is a sequence of repeated dilutions where each tube is prepared from the previous one using the same dilution factor.

A serial dilution is often easier and more reliable when the target concentration is far below the stock concentration because each step stays within a practical pipetting range.

It means each step produces a solution with one-tenth the concentration of the previous tube.

Because assays, repeat measurements, and pipetting losses usually require more liquid than the bare theoretical minimum.

References

This calculator helps with dilution planning, but your final protocol should still account for pipette limits, mixing efficiency, and any assay-specific handling losses.