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Dilution Calculator

Dilution Calculator is part of Toolspire and is ready as soon as this page loads. The two volumes must be in the same unit. The page does not convert litres to millilitres. 50 in and 200 out means you typed millilitres both times.

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On this page

What you can do here

Solves for the final volume

You take V1 of stock and add solvent until the total is V2. You do not add V2 of solvent on top.

Same unit in, same unit out

No hidden conversion between mL and L.

Will not concentrate

C2 above C1 is rejected because pouring solvent cannot raise concentration.

The sequence

How to use the Dilution Calculator

  1. 1

    Use one concentration unit

    Both molar, or both percent. Do not mix mg/mL with molar without converting.

  2. 2

    Read V2 as the final volume

    Solvent to add is V2 − V1. On the sample that is 150 mL, and the detail says so.

  3. 3

    Check 200

    2 times 50 divided by 0.5.

Worth knowing

  • Dilution Calculator on Toolspire: C1 × V1 = C2 × V2, so V2 = C1 × V1 ÷ C2.
  • 2 × 50 ÷ 0.5 = 200. If V1 is millilitres, V2 is millilitres.
  • The desired concentration must be lower than or equal to the stock. This page dilutes. It does not concentrate.
  • A desired concentration of 0 is rejected.

You add solvent up to V2, not V2 of solvent

C1V1 = C2V2 conserves the amount of solute. Two molar times 50 mL is 100 mmol if the concentration is molar, and 100 mmol in 0.5 M needs 200 mL of solution. The solvent you pour in is 200 − 50 = 150 mL, assuming volumes add, which they only approximately do. The page reports both the final volume and that solvent estimate.

FAQ

Questions about Dilution Calculator

Where does Dilution Calculator run?

Dilution Calculator runs in this tab on Toolspire. What you type or drop in is not sent to us and is not stored on a server.

What final volume dilutes 50 mL of 2 M stock to 0.5 M?

200 mL. You add about 150 mL of solvent.

Do I add 200 mL of water?

No. 200 mL is the final volume. The water is the difference, 150 mL, if the volumes add.

Can the desired concentration be stronger?

No. Dilution cannot concentrate a solution. That pair is rejected.

Must the units match?

Yes. The page does not convert them.

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