Serial Dilution Final Concentration
Calculator

Inputs

Final concentration (mmol/L)
0.0001

Results

Final concentration (mmol/L)
0.0001
Final concentration (µmol/L)
0.1
Total dilution factor
100,000

Biology and lab results

Final concentration (mmol/L)0.0001
Final concentration (µmol/L)0.1
Total dilution factor100,000

formula-map diagram

Final concentration (mmol/L)
0.0001
Final concentration (µmol/L)
0.1
Total dilution factor
100,000

Formula breakdown

Formula

C_n = C₀ ÷ DF^n

= 0.0001

Note

Simplified model: these results use standard textbook laboratory relationships and average constants (A260 = 1 for 50 µg/mL dsDNA, 617.96 g/mol per base pair, ~110 Da per amino acid, ideal exponential growth). Real samples vary with purity, contaminants, buffer, temperature and instrument calibration. Always confirm against your own standards and protocol; do not use for diagnostic or safety-critical work.

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Frequently asked questions

How does a serial dilution reduce concentration so quickly?+

Each step multiplies the previous dilution factor rather than adding to it, so after n steps of factor f each, the overall dilution is f raised to the power n. This is why just a few 1:10 steps can take a concentrated stock down to parts-per-million or lower.

What inputs does the calculator need?+

You provide the starting concentration, the dilution factor used at each step (e.g. 10 for a 1:10 series), and the number of steps performed. It then returns the concentration remaining after the final step.

Do all steps need to use the same dilution factor?+

This calculator assumes a constant factor at every step, which is the standard setup for calibration curves and colony-count dilutions. If your series mixes different factors, calculate each step separately and multiply the factors together instead.

Why is my final concentration not exactly what I expected?+

Small pipetting errors compound at every step, so a series with many steps amplifies even minor volume inaccuracies. Using wide-bore or poorly calibrated pipettes for the smaller volumes is the most common source of drift in serial dilutions.

How do I choose the number of steps for a target concentration?+

Work backward: divide the starting concentration by the desired final concentration to get the total fold-dilution needed, then take the logarithm of that number base your chosen per-step factor to find how many steps are required. The calculator can be used iteratively to check that a given step count lands close enough to your target.