ToolNest

Dilution Calculator

Solve C1V1 = C2V2Runs locally · nothing uploaded

C1 × V1 = C2 × V2
Solve for:

Use the same units for C1 and C2, and for V1 and V2

Result: V1
10
Diluent to add (V2 − V1)
90

How it works

When to use it

  • Make a working solution of a given concentration and volume from a stock.
  • Find how much stock and diluent you need.

Formula

C₁ × V₁ = C₂ × V₂

Enter any three values to solve for the fourth.

Diluent = V₂ − V₁

Worked example

Given: Make 100 mL of 1 M from a 10 M stock

  1. V₁ = 1 × 100 ÷ 10 = 10 mL.
  2. Add diluent to a final volume of 100 mL (≈ 90 mL).

Result: Take 10 mL of stock and bring to 100 mL.

Reading the result

  • Use the same units for C₁ and C₂, and for V₁ and V₂.
  • Dilution factor = C₁ ÷ C₂ (10× here).

Limitations

  • Assumes volumes are additive. Some mixtures (e.g. ethanol–water, concentrated acids) contract or heat up — always bring to final volume.
  • Always add acid to water.

How to use

  1. 1Choose which value to solve for.
  2. 2Enter the other three (use consistent units).
  3. 3Read the result and the diluent volume.

FAQ

What units should I use?

Any, as long as C1 and C2 share units and V1 and V2 share units.

How much diluent do I add?

Diluent volume = V2 − V1.