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DilutionCalculator
Solution Mixing & Buffer Systems

Dilution Mass Balance Checker

Check that no solute is lost or gained along the way.

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 Mass Balance Checker: 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 checker works in 4 steps.

  1. Enter the stock side

    Type C₁ and V₁ as recorded.

  2. Enter the result side

    Type C₂ (stated or measured) and V₂.

  3. Set the tolerance

    Type the allowed deviation, such as ±2%.

  4. Read the balance

    The checker returns the solute in, solute out, percent balance, and a pass or check flag.

The Formula

The formula divides the solute amount out by the solute amount in.

Solute in Q_in = C₁ × V₁
Solute out Q_out = C₂ × V₂
Balance %B = 100 × Q_out / Q_in
Q_in / Q_out:
Solute amount before and after
%B:
Mass balance percent
Tolerance:
Allowed deviation from 100%
Worked example

10 mL of 10 mM stock holds 100 µmol. A final 100 mL at 0.95 mM holds 95 µmol. The balance is 95%, outside a ±2% tolerance.

Conversion Table

The conversion table checks 6 recorded dilutions against a ±2% tolerance (C × V in shared units).

Stock C₁ × V₁Final C₂ × V₂Solute inSolute outBalanceResult
10 × 101 × 100100100100%Pass
10 × 100.95 × 1001009595%Check
5 × 201 × 100100100100%Pass
100 × 10.8 × 1001008080%Check
2 × 501 × 100100100100%Pass
1 × 50.051 × 10055.1102%Pass

What Is the Dilution Mass Balance Checker?

The Dilution Mass Balance Checker is a tool that compares the amount of a tracked solute going into a dilution with the amount found in the result, and flags any mismatch beyond a set tolerance. In a correct dilution, C₁ × V₁ equals C₂ × V₂.

Mass balance catches unit mix-ups, wrong volumes, and recording errors before a solution goes into use. The checker computes the percent balance, compares it with a tolerance such as ±2%, and points to the input most likely to hold the error.

Common Uses

There are 5 main uses of this checker.

  • Record review

    Reviewers check notebook dilutions before sign-off.

  • Unit error detection

    Users catch mM and µM mix-ups that cause 1,000-fold gaps.

  • Measured QC

    Labs compare measured C₂ against the expected amount.

  • Staff training

    Trainers use balance checks to teach solute conservation.

  • Batch release

    Production teams confirm batches before release.

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