Serial Dilution Calculator for Lab Concentrations

Calculate every concentration in a stepwise laboratory dilution series.

Serial dilution calculation
Enter a starting concentration, the repeated dilution factor, and the number of dilution steps.

About serial dilution

A serial dilution is a sequence in which the same dilution operation is repeated several times. Instead of preparing a very dilute sample in one large vessel, a laboratory worker transfers a measured portion into fresh diluent, mixes it thoroughly, and repeats the transfer. This method is common in microbiology, analytical chemistry, biochemistry, environmental testing, and pharmaceutical work because it creates a predictable range of concentrations from one stock solution. The calculator lists the original concentration as step zero and then reports the concentration after every completed dilution. The dilution factor describes how many times lower the concentration becomes at each step. A tenfold dilution has a factor of 10, so each tube contains one tenth of the concentration in the preceding tube. A twofold dilution has a factor of 2, so each new tube contains one half. After n steps, concentration equals the initial concentration divided by the dilution factor raised to the power n. Units do not need conversion because the output retains whatever concentration unit was used for the starting value. If the initial value is in milligrams per milliliter, every result is also in milligrams per milliliter. In practical work, the dilution factor can be obtained from total volume divided by transferred sample volume. Transferring 1 milliliter into 9 milliliters of diluent produces 10 milliliters total and therefore a tenfold dilution. The liquid should be mixed completely before the next transfer so that the aliquot represents the entire tube. Use a fresh pipette tip where the protocol requires it, and account for pipette limits, retained liquid, contamination, and cumulative measurement uncertainty. This calculator models an ideal repeated factor and does not correct for instrument accuracy, chemical reaction, evaporation, adsorption, or biological growth. Enter the number of actual dilution operations, not the number of containers if one container holds the undiluted stock. The table makes it easy to choose a useful tube for plating, calibration, assay preparation, or standards. Record the original units and experimental procedure with the calculated values, and verify that each target concentration remains within the useful range of the measurement method.

Serial dilution examples

These series show how a repeated dilution factor changes concentration.

Starting valuesFinal concentrationUse
100 mg/L, factor 10, 4 steps0.01 mg/LA standard tenfold series.
80 µg/mL, factor 2, 3 steps10 µg/mLA twofold assay series.
25 mmol/L, factor 5, 2 steps1 mmol/LTwo consecutive fivefold dilutions.

How to calculate a serial dilution

  1. Enter the concentration of the undiluted stock solution.
  2. Enter the factor applied at every dilution step.
  3. Choose the number of completed transfer and dilution steps.
  4. Calculate and review each concentration in the resulting series.

Frequently asked questions

What is a dilution factor?

The dilution factor is total volume divided by the volume of sample transferred. A factor of 10 means the new concentration is one tenth of the previous concentration.

Does step zero count as a dilution?

No, step zero is the original undiluted stock and is included as a reference. Step one is the first completed dilution operation.

Do concentration units matter?

You may use any concentration unit as long as it remains the same throughout the series. The calculator preserves the starting unit because only ratios are applied.

How is the final concentration calculated?

The initial concentration is divided by the dilution factor raised to the number of steps. This is equivalent to dividing by the same factor once at every step.

Why can experimental values differ?

Pipetting uncertainty, incomplete mixing, carryover, and evaporation can alter real concentrations. The calculator represents ideal transfers and should be paired with good laboratory technique.