Dilution Calculator

Dilution is evaluated from Initial Concentration, Initial Volume and Final Concentration. The calculation reports Initial Concentration, Stock Volume to Use and Final Concentration.

Results

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About the Dilution Calculator

Dilution is treated here as a quantitative relation between Initial Concentration, Initial Volume, Final Concentration and Final Volume and Initial Concentration, Stock Volume to Use, Final Concentration and Final Volume.

The calculator uses a multi formula configuration. Each reported value is read as a direct evaluation of the stored rules with the declared field formats and units.

Formula basis:
C₁V₁ = C₂V₂
V₁ = C₂ x V₂ / C₁ (stock volume needed)
C₂ = C₁ x V₁ / V₂ (final concentration)
V₂ = C₁ x V₁ / C₂ (final volume)
C₁ = C₂ x V₂ / V₁ (original concentration)
Dilution factor = C₁/C₂

Interpret the outputs in the order shown by the result fields. Optional inputs affect only the outputs that depend on those variables.

Formula & How It Works

The calculation applies the following relations exactly as recorded in the metadata:

C₁V₁ = C₂V₂
V₁ = C₂ x V₂ / C₁ (stock volume needed)
C₂ = C₁ x V₁ / V₂ (final concentration)
V₂ = C₁ x V₁ / C₂ (final volume)
C₁ = C₂ x V₂ / V₁ (original concentration)
Dilution factor = C₁/C₂

Each output field is produced by substituting the supplied inputs into the relevant relation and then applying the declared rounding or text format.

Worked Examples

Example 1: Diluting Concentrated HCl for Titration

Inputs

c1: 12.1 c2: 1 v2: 500
Initial Concentration: 12.1 M. Stock Volume to Use: 41.322 mL. Final Concentration: 1 M. Final Volume: 500 mL. Dilution Factor: 12.1 x

With Initial Concentration = 12.1, Final Concentration = 1 and Final Volume = 500 as the stated inputs, the result is Initial Concentration = 12.1 M, Stock Volume to Use = 41.322 mL and Final Concentration = 1 M. Each value corresponds to the declared output fields.

Example 2: Pool Chlorination

Inputs

c1: 52500 c2: 3 v2: 75708
Initial Concentration: 52,500 M. Stock Volume to Use: 4.326 mL. Final Concentration: 3 M. Final Volume: 75,708 mL. Dilution Factor: 17,500 x

With Initial Concentration = 52,500, Final Concentration = 3 and Final Volume = 75,708 as the stated inputs, the result is Initial Concentration = 52,500 M, Stock Volume to Use = 4.326 mL and Final Concentration = 3 M. Each value corresponds to the declared output fields.

Example 3: 10× PBS to 1× Working Buffer

Inputs

c1: 10 v1: 100 v2: 1000
Initial Concentration: 10 M. Stock Volume to Use: 100 mL. Final Concentration: 1 M. Final Volume: 1,000 mL. Dilution Factor: 10 x

With Initial Concentration = 10, Initial Volume = 100 and Final Volume = 1,000 as the stated inputs, the result is Initial Concentration = 10 M, Stock Volume to Use = 100 mL and Final Concentration = 1 M. Each value corresponds to the declared output fields.

Example 4: Paint Tint Concentrate

Inputs

c1: 100 v1: 4 v2: 128
Initial Concentration: 100 M. Stock Volume to Use: 4 mL. Final Concentration: 3.125 M. Final Volume: 128 mL. Dilution Factor: 32 x

With Initial Concentration = 100, Initial Volume = 4 and Final Volume = 128 as the stated inputs, the result is Initial Concentration = 100 M, Stock Volume to Use = 4 mL and Final Concentration = 3.125 M. Each value corresponds to the declared output fields.

Common Use Cases

  • Calculate how much stock solution to dilute for a target concentration
  • Find final concentration after adding water to a solution
  • Determine dilution factor for a laboratory procedure