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).