Serial Dilution Calculator

Calculate the final concentration after a series of dilution steps, or determine the dilution factor needed to reach a target concentration.

Note: If you enter both dilution factor AND volumes, volumes take priority (dilution factor = (stock + diluent) / stock).

Formulas

Concentration at step n:

Cn = C0 / DFn

Dilution factor from volumes:

DF = (Vstock + Vdiluent) / Vstock

Total dilution factor after n steps:

DFtotal = DFn

Where C0 = initial concentration, DF = dilution factor per step, n = step number.

Assumptions & References

  • Each dilution step is identical (same dilution factor applied at every step).
  • The dilution factor must be greater than 1 (i.e., each step reduces concentration).
  • When volumes are provided, the dilution factor is computed as (Vstock + Vdiluent) / Vstock, consistent with the C₁V₁ = C₂V₂ relationship.
  • No evaporation, pipetting error, or dead volume is accounted for.
  • Maximum 50 steps supported to avoid floating-point underflow issues.
  • Reference: Serial dilution methodology — Youden, W.J. (1951). Statistical Methods for Chemists; standard laboratory practice (e.g., CLSI EP guidelines).

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