Formula and method
C₁V₁ = C₂V₂, so stock volume V₁ = C₂V₂/C₁. Concentrations must use matching units.
Worked example
To obtain 100 mL at 0.1 concentration units from stock at 1 unit, the calculation requires 10 mL of stock brought to a final 100 mL.
Dilution Calculator
Calculate stock volume for a target concentration and final solution volume using conservation of solute.
Printed from Calxy · https://www.calxy.net/other/dilution-calculator
Stock solution volume required10.0000 mL
same concentration unit
1e-12 – 1000000000000000
same concentration unit
0 – 1000000000000000
mL
1e-12 – 1000000000000000
Stock solution volume required
10.0000 mL
- Diluent volume if volumes are additive90.0000 mL
- Final solution volume100.0000 mL
An ideal conserved-solute calculation, not a mixing or handling procedure. Use compatible concentration units, no chemical reaction, and the final solution volume. Volume contraction can make simple volume subtraction inaccurate.
How this was calculated
C₁V₁ = C₂V₂, so V₁ = C₂V₂/C₁.
Prepare to the specified final volume; final volume minus stock is only an additive-volume estimate.
Frequently asked questions
Is diluent volume always final volume minus stock?
Only if volumes are additive. Mixtures can contract or expand, so the final solution volume is the controlling quantity. This is a mathematical estimate, not a handling procedure.
Last updated . Results are estimates for informational purposes only.