Dilution Calculator
Solve the C1V1 = C2V2 dilution equation instantly. Calculate initial/final concentration or volume for any stock and diluted solution with flexible unit support. Optionally enter the solute's molecular weight to perform cross-category conversion between molar and mass concentrations. View step-by-step formulas, dilution factors, and interactive fluid beaker visualizations. Running entirely offline in your browser.
Perform accurate dilution calculations. Fill in three fields to find the fourth. Units are converted automatically.
Enables cross-category (Molar to Mass) unit conversions
Fill in the three known values on the left and click Calculate to view steps and visuals.
Key Features of the Dilution Calculator
Solve for Any Variable Instantly
Solve C1V1 = C2V2 for stock or diluted concentration or volume. Choose from multiple units for both concentration and volume, and get accurate outputs rearranged with steps in milliseconds.
Private & Secure Calculations
All calculations run entirely in your web browser. Your concentrations, volumes, and solute details never leave your device. Perfect for research labs, pharmaceutical testing, and academic settings.
Solute Molecular Weight Converter
Provide an optional molecular weight (g/mol) to convert between molar concentrations (like M, mM, µM) and mass-based concentrations (like g/L, mg/mL, % w/v) on the fly, avoiding manual density/mol calculations.
Interactive Beaker Visualizations
Interactive side-by-side beakers dynamically adjust fluid levels and color opacity to help you visually grasp the physical process of dilution and calculate exactly how much solvent you need to add.
Common Use Cases for Dilution Calculator
Biological Assay Preparation
Prepare cell culture media, enzymes, primers, and buffer reagents in molecular biology. Easily dilute stock solutions (like 10X PBS) to working concentrations (like 1X PBS).
Chemical Synthesis & Labs
Determine the precise volume of concentrated acid (e.g. 12 M HCl) needed to create a desired volume of dilute acid (e.g. 0.1 M HCl) for synthesis, titration, or general experiments.
Pharmacological Formulations
Calculate drug dosage formulations. Safely dilute high-concentration stock drug solutions to exact pediatric or clinical infusion concentrations while keeping patient safety intact.
Agricultural & Fertilizer Mixing
Dilute liquid fertilizers, pest controls, or hydroponic nutrient solutions. Convert percentage concentrates into PPM solutions for precise application to crops or plants.
Educational Chemistry Labs
Check answers for chemistry classroom assignments, practical exams, and pre-lab tasks. Visual beakers make it easier for students to grasp concentration differences.
Essential Oil and Beverage Mixing
Determine correct ratios for cosmetic, aromatherapy, culinary, or brewing formulations. Easily calculate concentration in percentage or parts-per-thousand (ppt).
Understanding Solution Dilution and C₁V₁ = C₂V₂
What is Dilution?
Dilution is the process of reducing the concentration of a solute in a solution, usually by adding more solvent (such as water). The fundamental principle governing dilution is the conservation of solute mass: adding solvent increases the total volume of the solution, but the absolute amount of solute remains constant. Therefore, the stock solution's concentration times its volume equals the diluted solution's concentration times its volume. This is mathematically expressed as the dilution equation: C₁V₁ = C₂V₂.
How the Dilution Calculator Works
- Choose Your Mode: Select which of the four variables you want to solve for: Stock Concentration (C₁), Stock Volume (V₁), Diluted Concentration (C₂), or Diluted Volume (V₂).
- Enter Solute Details (Optional):If you want to convert between molar concentrations (like M, mM, µM) and mass-based concentrations (like g/L, mg/mL, % w/v), enter the solute's Molecular Weight (g/mol). If not provided, you can still perform calculations within the same concentration class.
- Enter Known Values and Select Units: Input the three known values and choose the appropriate units for each. The calculator automatically handles all cross-unit conversions in the background.
- Analyze the Output: Read the calculated value, see the step-by-step rearrangement of the formula, look at the dilution factor, and find out the exact volume of solvent to add. The interactive beaker graphic dynamically reflects the volume and concentration.
The Core Formulas
Depending on which variable you are solving for, the dilution equation is rearranged as follows:
- Stock Volume: V₁ = (C₂ × V₂) / C₁
- Diluted Volume: V₂ = (C₁ × V₁) / C₂
- Stock Concentration: C₁ = (C₂ × V₂) / V₁
- Diluted Concentration: C₂ = (C₁ × V₁) / V₁
- Solvent to Add: V_solvent = V₂ − V₁
- Dilution Factor (DF): DF = C₁ / C₂ = V₂ / V₁
Important Mixing Guidelines
When diluting strong acids or bases (like concentrated sulfuric acid or sodium hydroxide), always remember the safety rule: add acid to water, never water to acid. The mixing process can be highly exothermic, and adding water to a large volume of acid can cause rapid boiling and splashing. Always wear appropriate personal protective equipment (PPE) such as goggles, gloves, and a lab coat.
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Frequently Asked Questions About Dilution Calculator
The dilution equation states that the initial concentration (C1) multiplied by the initial volume (V1) is equal to the final concentration (C2) multiplied by the final volume (V2). This relationship is based on the principle of conservation of mass, meaning that the total amount of solute remains constant before and after dilution.
To calculate any of the four variables, rearrange the formula: solve for Stock Volume V1 = (C2 × V2) / C1; solve for Dilute Volume V2 = (C1 × V1) / C2; solve for Stock Concentration C1 = (C2 × V2) / V1; solve for Dilute Concentration C2 = (C1 × V1) / V2. Our calculator does this rearrangement automatically for any unit choices.
The volume of solvent to add (Vsolvent) is the difference between the final diluted volume and the initial stock volume: Vsolvent = V2 − V1. This assumes the volumes are additive, which is a highly accurate approximation for most dilute aqueous solutions.
Yes! By providing the molecular weight of your solute, you can mix molar concentration units (like M, mM, µM) with mass concentration units (like g/L, mg/mL, % w/v). If no molecular weight is provided, you can still mix units within the same category (e.g., M to mM, or g/L to mg/mL).
The dilution factor is the ratio of the final volume to the initial volume: DF = V2 / V1, which is also equal to C1 / C2. A dilution factor of 10 (or 1:10 dilution) means that the stock solution has been diluted to 1/10th of its original concentration.
Completely. All calculation logic and unit conversions run locally inside your web browser. Your inputs, solute names, and concentrations are never transmitted to any external server or saved.
Yes, our Dilution Calculator is 100% free with no hidden charges, premium features, or account registrations. You can run as many calculations and conversions as you like.