Experimental data & uncertainty · SL/HL

Serial dilution

Track concentration through repeated dilution steps.

Your values

Number formats & units

Use decimal dots in datasets. Single values also accept decimal commas and scientific notation such as 1.2e-3 or 1.2 × 10⁻³.

Serial Dilution Calculator inputs

Calculated locally. No account or input upload.

Result & working

Example

The calculator is loading. The worked example is also shown below.

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Formula & example

The relationship

Cn=C0fnwhere f is the dilution factorC_n=\frac{C_0}{f^n}\quad\text{where }f\text{ is the dilution factor}
What the variables mean
SymbolMeaning
factorFor a 1:10 dilution, enter 10.

Worked example

Starting concentration
1
Dilution factor per step
10
Number of dilution steps
5
Concentration unit
arbitrary units

0.00001 arbitrary units

Follow the example steps
  1. Cₙ = C₀/factorⁿ = 1/10^5 = 0.00001 arbitrary units

Common mistakes

A 1:10 dilution divides the concentration by ten at each step.

Incorrect approach

C₀ = 1, f = 10, n = 2: C = 1 × 0.9² = 0.81

Correct approach

C = 1/10² = 0.01 mol dm⁻³

More checks before you submit
  • A 1:10 dilution means one tenth of the previous concentration, not subtracting 10%.
Method notes

The calculator reports the nominal concentration sequence. Actual accuracy still depends on pipetting and mixing.