Dilution Calculator (C₁V₁=C₂V₂)

Dilution Calculator

Adjust parameters and observe how the result changes in real time · C₁·V₁ = C₂·V₂

Unknown

Parameters

C₁

Initial concentration

Concentration of the concentrated stock solution

0.0120

V₁

Initial volume

Volume to take from the stock solution

0.11000

C₂

Final concentration

Target concentration after dilution

0.0120

FD = \frac{C_1}{C_2} = 1:2.50

Results

Final volume (V₂)

—

Solvent to add

—

Unit of V₂:

Simulated liquid level

Stock Sol.

Diluted Sol.

Fundamentals & Explanation

Dilution law

C_1 \cdot V_1 = C_2 \cdot V_2

Solving for V₂

V_2 = \frac{C_1 \cdot V_1}{C_2}

The dilution equation is based on the principle of conservation of solute mass. When diluting a solution, the amount of substance (in moles) remains constant; only the solvent volume changes.

Knowing three of the four variables (C₁, V₁, C₂, V₂), the remaining unknown can be solved from the dilution law.

The solvent to add is calculated as the difference between the final volume and the initial volume: V₂ − V₁.

For higher accuracy in non-ideal mixtures, add solvent up to the final volume in a volumetric flask.

Molar concentration — Wikipedia