Solution Dilution
Calculate solution dilutions using the C₁V₁ = C₂V₂ formula. Free online chemistry dilution calculator for lab work, research, and education with instant results and charts.
About This Calculator
The Solution Dilution Calculator helps you determine the concentration or volume of a diluted solution using the fundamental chemistry formula C₁V₁ = C₂V₂. Whether you are a student preparing a lab experiment, a researcher diluting a stock solution, or a professional in a biochemistry lab, this tool simplifies your dilution calculations.
The formula C₁V₁ = C₂V₂ is derived from the principle that the amount of solute remains constant during dilution. Given any three of the four variables (initial concentration C₁, initial volume V₁, final concentration C₂, final volume V₂), the fourth can be calculated instantly.
How to use
Enter values for any three of the four input fields. The calculator will automatically determine which value is missing and compute it. For example, to find how much of a 1 M stock solution you need to make 500 mL of 0.1 M solution, enter C₁ = 1, C₂ = 0.1, V₂ = 500, and leave V₁ empty. The result will show V₁ = 50 mL.
Key applications
- Laboratory work: Preparing working solutions from concentrated stocks for experiments, assays, and buffers.
- Education: Teaching students the conservation of solute principle and dilution calculations in chemistry classes.
- Pharmaceutical: Calculating dilutions for drug formulations, reconstitution, and compounding.
- Quality control: Diluting samples to within detection ranges for analytical instruments such as spectrophotometers and chromatographs.
Frequently Asked Questions
What is the solution dilution formula?
The solution dilution formula is C₁V₁ = C₂V₂, where C₁ is the initial concentration, V₁ is the initial volume, C₂ is the final concentration, and V₂ is the final volume. This equation states that the amount of solute remains constant during dilution.
How do I use the solution dilution calculator?
Enter any three of the four values: initial concentration (C₁), initial volume (V₁), final concentration (C₂), and final volume (V₂). The calculator will automatically compute the missing value using the C₁V₁ = C₂V₂ formula.
What units does the calculator support?
The calculator accepts concentration in molar (M, mol/L) and volume in milliliters (mL). You can use any consistent units as long as they match on both sides of the equation.
Can I calculate how much stock solution I need?
Yes. Enter the stock concentration (C₁), desired final concentration (C₂), and desired final volume (V₂). Leave the initial volume (V₁) empty and the calculator will compute exactly how much stock solution you need.
What is the difference between simple and serial dilution?
A simple dilution is a one-step dilution from a stock solution calculated with C₁V₁ = C₂V₂. A serial dilution involves multiple sequential dilutions where each step dilutes the previous solution by a constant factor.
Is this calculator free to use?
Yes, it is completely free to use with no registration or hidden charges. You can also share your results via a unique URL.
How accurate are the dilution results?
Concentrations are displayed to 4 decimal places and volumes to 2 decimal places. Calculations use the standard C₁V₁ = C₂V₂ formula used in chemistry labs worldwide.