Dilution Calculator
The concentration unit cancels across C₁V₁ = C₂V₂, so both sides share one label — no unit conversion is performed.
V₁ (stock volume) =
10 mL
Dilution factor (V₂/V₁) = 10×
Reference only. Not legal or regulatory advice. Verify against the primary source before you act.
How it works
The dilution equation C₁V₁ = C₂V₂ relates a concentrated stock to the diluted working solution made from it. C₁ and V₁ are the concentration and volume of stock you take; C₂ and V₂ are the concentration and volume of the final solution. Because the amount of solute is conserved, the product of concentration and volume is equal on both sides.
Given any three of the four, the fourth is fixed. Rearranging:
- C₁ = C₂V₂ / V₁
- V₁ = C₂V₂ / C₁
- C₂ = C₁V₁ / V₂
- V₂ = C₁V₁ / C₂
The dilution factor is V₂/V₁ — how many times the stock is expanded to reach the final volume. A 1:10 dilution has a factor of 10×.
The concentration unit cancels on both sides of the equation, so this tool treats it as a single shared label rather than converting between units — enter both concentrations in the same unit. Volumes are converted to a common base (mL) internally. This is a spine-only solver and does not perform percent ↔ ppm concentration conversion; use the Percent Concentration Calculator for that.
Worked example
You have a 10 M stock and need 100 mL of a 1 M working solution. Solve for the stock volume V₁:
V₁ = C₂V₂ / C₁ = (1 × 100) / 10 = 10 mL
Take 10 mL of stock and bring it up to 100 mL. The dilution factor is V₂/V₁ = 100 / 10 = 10×.
Related tools
- Percent Concentration Calculatornot yet live
- ppm ↔ mg/m³ Converteropen →
- Unit Converternot yet live
last updated 2026-07-09