Dilution Calculator
Solve C1V1 = C2V2 for any unknown. Compute stock volume, final concentration, final volume, or back-calculate stock strength.
Dilution Calculator (C1V1 = C2V2)
How much stock to take. Given C1, C2, and V2.
Any unit (mol/L, percent, mg/mL). Must match C2 unit.
Target concentration after dilution. Same unit as C1.
Total volume after dilution. Same unit as V1.
Stock volume (V1)
10
Stock concentration (C1)
10
Stock volume (V1)
10
Final concentration (C2)
1
Final volume (V2)
100
Diluent to add (V2 - V1)
90
Dilution factor (V2 / V1)
10x
Frequently Asked Questions about the Dilution Calculator
What is the C1V1 = C2V2 formula?
It is the dilution equation. C1 is your stock concentration, V1 is the volume of stock you take, C2 is the final concentration you want, and V2 is the final total volume after dilution. Because the amount of solute stays the same, the product of concentration and volume is conserved on both sides.
How do I calculate how much stock solution to use?
Select solve-for V1, then enter C1, C2, and V2. The calculator returns V1 = (C2 * V2) / C1. The diluent line tells you how much solvent to add: V2 minus V1.
What units should I use for concentration and volume?
Any units work as long as C1 and C2 share the same concentration unit (such as mol/L, percent, or mg/mL) and V1 and V2 share the same volume unit (mL, L, or microliters). The equation does not care which units you pick, only that they match on each side.
Why does the calculator reject a result where V1 is larger than V2?
A V1 larger than V2 would mean you need more stock than fits in your final volume, which is physically impossible. If you see this rejection in solve-for V1 mode, your target concentration C2 is too close to or larger than your stock C1. Use a stronger stock or lower your target concentration.
What is the dilution factor?
The dilution factor is V2 divided by V1, or equivalently C1 divided by C2. A factor of 10 (often written 1:10 or 10x) means you diluted the stock ten-fold: one part stock for every nine parts diluent, for ten parts total.