What Is the Dilution Calculator?
The Dilution Calculator is a free online tool designed for researchers and curious minds who need quick, accurate calculations in the science and research space. By entering your c1 — initial concentration, v1 — initial volume, c2 — final concentration, you get instant results including solved value, solvent to add, dilution factor. No formulas to memorize, no spreadsheets to build — just enter your numbers and get the answer in seconds. Whether you're a beginner or experienced professional, this calculator saves you time and eliminates guesswork.
Why This Calculation Matters
Getting solved value right can make the difference between success and costly mistakes. In science and research, small errors compound quickly. Manual calculations are error-prone and time-consuming, especially under pressure. This calculator applies proven formulas used by researchers and curious minds worldwide, giving you confidence that your numbers are correct. Use it to explore scientific concepts with precision and avoid common pitfalls that trip up beginners.
When Should You Use This Calculator?
This tool is most useful when you know your c1 — initial concentration and need to find the right solved value. It's also great for quick estimates before committing to a decision, and to double-check manual calculations or professional quotes, and when comparing different scenarios side by side. Bookmark this page and come back whenever you need a fast, reliable answer — the calculator is always free and requires no signup.
C1V1 = C2V2 Dilution Calculator
Leave one field blank to solve for it.
Common Lab Dilution Examples
Typical dilution scenarios using C1V1 = C2V2.
| Stock (C1) | Desired (C2) | Final Vol (V2) | Volume to Take (V1) |
|---|---|---|---|
| 12 M HCl | 1 M | 500 mL | 41.7 mL |
| 10 M NaOH | 0.1 M | 1 L | 10 mL |
| 18 M H₂SO₄ | 2 M | 250 mL | 27.8 mL |
| 100 mg/mL | 1 mg/mL | 100 mL | 1 mL |
| 70% Ethanol | 10% | 500 mL | 71.4 mL |
| 5 M NaCl | 0.15 M | 1 L | 30 mL |
| 1 M Tris | 50 mM | 200 mL | 10 mL |
| 10× PBS | 1× | 1 L | 100 mL |
How to Use This Calculator
- Enter Your C1 — Initial Concentration: Start by entering your c1 — initial concentration — this is the primary input for the calculation.
- Fill In Additional Details: Complete the remaining fields: v1 — initial volume, c2 — final concentration, v2 — final volume. Each value refines the calculation for greater accuracy.
- Click Calculate: Hit the Calculate button to run the numbers. Results appear instantly below.
- Review Your Results: Check your solved value, solvent to add, dilution factor. Use these figures to inform your next decision or compare against alternative scenarios.
How It Works
The dilution equation C1V1 = C2V2 relates the concentration and volume of a solution before and after dilution. Since the amount of solute stays constant, the product of concentration and volume must be equal.
The basic rule:
- C1V1 = C2V2 where C = concentration, V = volume; subscript 1 = initial (stock), subscript 2 = final (diluted)
- Leave exactly one field blank and the calculator solves for it
- Concentration units must match (both in M, mM, %, etc.) — the calculator assumes same units for C1 and C2
- Solvent to add = V2 − V1 (the amount of diluent, usually water, to add to your aliquot)
This equation works for any dilution where the solute is fully dissolved and the volumes are additive. For serial dilutions, apply the formula repeatedly at each step.
Tips & Considerations
- Double-check your c1 — initial concentration before calculating — even small input errors can significantly change your results.
- Run the calculator with different values to compare scenarios and find the optimal approach for your situation.
- Pay attention to both solved value and solvent to add — they work together to give you the full picture.
- Bookmark this page for quick access next time you need to explore scientific concepts.
- If you're unsure about your v2 — final volume, start with a conservative estimate and adjust from there.
Frequently Asked Questions
What does C1V1 = C2V2 mean?
It means the amount of solute before dilution equals the amount after dilution. C1 is the stock concentration, V1 is the volume you take from the stock, C2 is your desired final concentration, and V2 is the total final volume.
How do I use this for a serial dilution?
For serial dilutions, apply C1V1 = C2V2 at each step. For a 1:10 serial dilution, take 1 mL of each solution and add 9 mL of diluent. The concentration drops by 10× at each step.
Do the concentration units need to match?
Yes, C1 and C2 must be in the same units (both M, both mM, both %, etc.). The volume units for V1 and V2 must also match. The calculator handles unit conversion for volumes.
What if my final concentration is higher than my stock?
That would require concentration (evaporation), not dilution. C1V1 = C2V2 only works when C2 < C1. You cannot dilute a solution to make it more concentrated.
Can I use this for diluting acids?
Yes, the math works the same. Always remember to add acid to water (not water to acid) for safety. The heat of mixing can cause splattering if water is added to concentrated acid.