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DilutionCalculator
Quality Control, Error & Uncertainty

Dilution Recovery Calculator

Compare what you measured with what you expected.

Presets:
Formula: C₁ × V₁ = C₂ × V₂
V₁ = (C₂ × V₂) / C₁
Stock Source
Calculating
Target Conc
Final Volume
Fluid color:
Dilution Factor (DF)
5.00×
1 : 5 dilution
Solvent (Buffer / Water)
40.00 mL
V₂ - V₁ volume

Dilution Recovery Calculator: Live Flask Simulation

Live color sync
Transfer 10 mL aliquot
Stock Solution (C₁)
75%50%25%
10 mM
Concentration (C₁)
Aliquot to draw: 10 mL
Final Dilution (C₂)
CALIBRATION MARK (V₂)
2 mM
Concentration (C₂)
Total Volume: 50 mL
Color depth (Beer-Lambert) Relative Intensity: 20% (Absorbance Factor: 0.200)

Step-by-Step Bench Protocol

1

Pipette Stock Aliquot

Draw 10 mL of stock (10 mM) with a pipette.

2

Add Diluent / Buffer

Add 40 mL of water or buffer to reach the final mark.

3

Invert and Mix

Invert the tube to mix. You now have 50 mL at 2 mM (a 5× dilution).

How It Works

This calculator works in 4 steps.

  1. Enter the expected concentration

    Type the nominal or back-calculated value of the dilution.

  2. Enter the measured concentration

    Type the instrument result, corrected for any dilution in the measurement.

  3. Set the acceptance limits

    Type the low and high recovery limits from the method.

  4. Read recovery and the flag

    The calculator returns percent recovery, bias, and pass or fail.

The Formula

The formula divides the measured concentration by the expected concentration.

Recovery %R = 100 × C_measured / C_expected
Bias % bias = %R − 100
Dilution linearity %R_i = 100 × (C_i × DF_i) / C_neat
C_measured:
Measured concentration
C_expected:
Expected concentration
DF_i:
Dilution factor of level i
C_neat:
Undiluted reference value
Worked example

A 10 ng/mL dilution that reads 10.6 ng/mL has 106% recovery and +6% bias.

Conversion Table

The conversion table gives recovery and bias for 6 expected and measured pairs, checked against 80% to 120% limits.

ExpectedMeasuredRecoveryBiasCheck
109.898%-2%Within 80–120%
1010.6106%6%Within 80–120%
5044.589%-11%Within 80–120%
11.18118%18%Within 80–120%
10097.297.2%-2.8%Within 80–120%
53.978%-22%Outside 80–120%

What Is the Dilution Recovery Calculator?

The Dilution Recovery Calculator is a tool that compares a measured concentration with the expected concentration of a dilution and returns percent recovery and bias. Recovery equals measured divided by expected, times 100.

Recovery checks show whether a dilution and the measurement agree. Acceptance limits come from the method: many bioanalytical methods accept 85% to 115%, and many immunoassay dilution linearity checks accept 80% to 120%. The user sets the limits, and the calculator flags each result.

Common Uses

There are 5 main uses of this calculator.

  • Dilution linearity

    Validation teams test recovery across serial dilutions of one sample.

  • Spike recovery

    Analysts check accuracy in sample matrices.

  • Standard verification

    Labs verify a new standard against an old one.

  • Instrument checks

    Users confirm instrument response after maintenance.

  • Troubleshooting

    QC teams locate a dilution or measurement fault.

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