Solution Dilution Calculator for Concentration and Volume
Solve stock and final solution concentrations or volumes with the standard dilution equation.
About solution dilution
Solution dilution examples
Each example uses the same conservation relationship with a different unknown.
| Known values | Calculated value | Interpretation |
|---|---|---|
| 10 M stock, 2 M final, 100 mL final | 20 mL stock | Bring the stock aliquot to 100 mL total. |
| 5 mg/mL stock, 25 mL stock, 250 mL final | 0.5 mg/mL final | A tenfold dilution. |
| 2 percent stock, 40 mL stock, 0.5 percent final | 160 mL final | Add solvent to the calculated total volume. |
How to calculate a solution dilution
- Choose the concentration or volume that needs to be calculated.
- Convert concentration and volume entries to internally consistent units.
- Enter the three known positive measurements.
- Calculate the unknown and confirm that the result is physically reasonable.
Frequently asked questions
What equation does this calculator use?
It uses stock concentration times stock volume equals final concentration times final volume. This expresses conservation of dissolved solute during ideal dilution.
Is final volume the amount of solvent added?
No, final volume is the total volume of stock plus solvent after preparation. The solvent amount is approximately final volume minus stock volume when volumes are additive.
Can I use percent concentrations?
Yes, if the stock and final percentages use the same definition, such as both being mass per volume. Do not mix different percentage conventions without converting them.
Can I mix liters and milliliters?
Both volume entries must use the same unit before calculation. Convert one value first, or the numerical answer will be off by the unit conversion factor.
Why might a dilution be inaccurate in practice?
Glassware tolerance, pipetting error, temperature, incomplete transfer, and poor mixing all affect the prepared concentration. Use suitable calibrated equipment and laboratory technique.