What does C1V1 = C2V2 mean?

It expresses the conservation of solute: the amount of solute before dilution (C1 × V1) equals the amount after dilution (C2 × V2). Because you only add solvent, the solute quantity does not change.

Do the units have to match?

Yes. Both concentrations must use the same unit (e.g., both in mol/L or both in %), and both volumes must use the same unit (e.g., both in mL or both in L). The calculator works with any consistent unit pair.

Can I use this for percent solutions?

Yes. Enter C1 and C2 as percent values (e.g., 70 and 10) and the volumes in any consistent unit. The formula is the same regardless of the concentration unit type.

What if my result is larger than the final volume?

If V1 > V2 (or the required initial volume exceeds the target volume), the dilution is not physically possible — you cannot dilute a larger volume into a smaller one. Re-check your inputs or reconsider the target concentration.

Is this calculator accurate enough for lab work?

The formula itself is exact. Accuracy depends on the precision of the values you enter. For critical assays, always verify with calibrated pipettes and balances.

Dilution Calculator (C1V1 = C2V2)

Name: Dilution Calculator (C1V1 = C2V2)
Availability: InStock
Author: Nham Vu

Solve the dilution equation C1V1 = C2V2 for any one unknown — enter the other three values and get the answer instantly.

Solve For

Select the unknown variable, then enter the three known values.

C₁ × V₁ = C₂ × V₂

C₁ — Initial Concentration

V₁ — Initial Volume

C₂ — Final Concentration

V₂ — Final Volume

Select a variable to solve for, enter the known values, then click Calculate.

Quick Reference

Find C1

C1 = (C2 × V2) / V1

Find V1

V1 = (C2 × V2) / C1

Find C2

C2 = (C1 × V1) / V2

Find V2

V2 = (C1 × V1) / C2

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Summary