Calculadora de Diluição de Solução
- Created by
- Renato Passos, Eng. de Software
- Reviewed by
- Renato Passos, Eng. de Software
Last updated: Apr 18, 2026
Formula
C₂ = C₁V₁ / V₂
About this calculator
The Solution Dilution Calculator solves problems based on the equation C₁V₁ = C₂V₂, which relates concentration and volume before and after dilution. It allows calculating any of the four variables (C₁, V₁, C₂, V₂) when the other three are provided. The formula derives from the principle of conservation of solute amount: the initial amount of solute (C₁V₁) equals the final amount (C₂V₂).
To use the calculator, select the variable you want to find and enter the known values in appropriate units (concentration in mol/L, g/L, % or ppm; volume in mL, L, etc.). The tool then applies the formula to determine the result. For example, if you have 100 mL of a 2 M solution and want to dilute to 0.5 M, the final volume will be 400 mL (V₂ = C₁V₁ / C₂ = 2 × 100 / 0.5).
This calculator is useful in chemistry labs, pharmacies, industries, and for students. Common applications include preparing standard solutions from concentrates, adjusting reagent concentrations, or diluting medications. It is important to use consistent units and consider that the formula assumes volumes are additive (valid for moderate dilutions).
Cautions: ensure concentration and volume units are compatible. For very concentrated dilutions, the final volume may not exactly equal the sum of volumes due to molecular interactions. Always verify calculations with actual measurements, especially in critical situations like preparing solutions for experiments or medications.
Frequently asked questions
Can I use any concentration unit?
Yes, as long as all concentrations are in the same unit (mol/L, g/L, %, ppm, etc.). The calculator does not automatically convert between different units.
What if my final volume is not the sum of volumes?
For moderate dilutions, the sum is a good approximation. For very concentrated solutions, volume contraction or expansion may occur. In that case, use the formula C₁V₁ = C₂V₂, which does not require volume additivity.
How to calculate the final concentration if I add pure solvent?
Use the formula C₂ = C₁V₁ / V₂, where V₂ is the final volume (initial volume + volume of solvent added).
Does the calculator work for serial dilutions?
Yes, but each step must be calculated separately. The calculator solves a single dilution at a time. For multiple steps, apply the formula repeatedly.
What is the difference between dilution and concentration?
Dilution reduces concentration by adding solvent. Concentration increases concentration by removing solvent or adding solute. The formula C₁V₁ = C₂V₂ applies to both, as long as the amount of solute remains constant.