C1V1

Chemistry

Dilution Calculator

Calculate stock volume, diluent volume, dilution factor, and the stock fraction of final volume. The vessel visual shows the measured stock aliquot entering a final-volume flask and the remaining volume supplied by diluent.

Stock solution required (mL)-
Diluent to add (mL)-
Dilution factor-
Stock fraction of final volume-

Decision view

Stock aliquot and final-volume flask

Stock aliquot and final-volume flaskThe measured stock portion and diluent fill one target-volume vessel while C1V1 = C2V2 remains visible.
Exact scenario comparisonTarget concentration changes while all other entered assumptions remain constant.
Target concentrationStock solution required (mL)Diluent to add (mL)Dilution factorStock fraction of final volume

How to use Dilution Calculator

  1. Express stock and target concentration in the same units and basis.
  2. Enter final solution volume, not the amount of solvent alone.
  3. Measure the stock aliquot and bring the mixture to final volume using an appropriate vessel.

Calculator guide

Understanding Dilution Calculator

A dilution conserves the modeled amount of solute: C1V1 equals C2V2. Concentration definitions and units must match before the equation is applied.

Solute conservation The modeled solute amount is unchanged by adding diluent.
Unit compatibility C1 and C2 must share one concentration basis.
Final-volume target Diluent is added to reach final volume.
Feasibility Dilution cannot create a target more concentrated than stock.

Calculation method

How the calculation works

Apply C1V1 equals C2V2 to calculate the required stock volume and subtract it from the final volume for diluent quantity. Multiply target concentration by final solution volume and divide by stock concentration for stock volume; subtract that aliquot from final volume for diluent.

Lab workflow

Prepare the solution without confusing solvent and final volume

Adding exactly the calculated diluent is an approximation when volumes are not additive.

Measure aliquot Transfer the calculated stock volume.
Partial diluent Add most, but not necessarily all, solvent first.
Mix Homogenize under the solution's handling requirements.
Bring to mark Adjust the complete solution to final volume.

Worked situations

Practical examples

  • A 2.0-unit stock diluted to 0.25 units at 500 mL requires 62.5 mL stock.
  • The remaining nominal diluent volume is 437.5 mL.
  • The dilution factor is 8 and stock occupies 12.5% of final volume.

Better inputs

Useful tips

  • Use calibrated volumetric equipment at the required precision.
  • Account for stock purity and hydration state before defining concentration.
  • For serial dilution, calculate and document every intermediate step.

Before relying on the result

Limitations and common mistakes

  • The model assumes compatible concentration definitions and additive volumes.
  • Purity, chemical reaction, dissociation, density, temperature, contraction, and measurement uncertainty are excluded.
  • The target cannot exceed stock concentration without another concentration process.

Reference

Key terms

Stock concentration
Concentration of the source solution before dilution.
Aliquot
Measured portion removed from the stock solution.
Final volume
Total solution volume after stock and diluent are combined.
Dilution factor
Stock concentration divided by target concentration.

Important note

Calculated from the entered values using the displayed chemical relationship. Confirm identity, units, purity, conditions, and laboratory safety requirements.

Frequently asked questions

Why is diluent final volume minus stock volume?

That is the additive-volume planning approximation used by this page.

Can molarity and mass percent be mixed?

No. Convert both concentrations to one compatible definition first.

What if calculated stock volume exceeds final volume?

The target is above the stock concentration and cannot be reached by simple dilution.

Does temperature matter?

It can affect volumetric precision and solution volume, though this model does not correct for it.