dilute concentration calculator

Dilution Calculator (C1V1 = C2V2)

Use this tool to calculate how much stock solution and diluent you need to prepare a target concentration and final volume.

C1 and C2 must use the same concentration unit.

What this dilute concentration calculator does

This dilute concentration calculator helps you quickly determine how to prepare a lower concentration solution from a stronger stock solution. It uses the standard dilution equation C1V1 = C2V2, which is common in chemistry labs, biology labs, pharmacology, water testing, and classroom science.

Instead of doing manual dilution math every time, you can enter your known values and instantly get:

  • The amount of stock solution to use (V1)
  • The amount of diluent/solvent to add
  • The dilution factor
  • A short mixing instruction you can follow directly

The dilution formula explained

Core equation

C1 × V1 = C2 × V2

  • C1 = initial (stock) concentration
  • V1 = volume of stock solution to take
  • C2 = final (target) concentration
  • V2 = final total volume after dilution

Rearranging for the stock volume gives: V1 = (C2 × V2) / C1. Once V1 is known, diluent volume is simply V2 − V1.

How to use this calculator

  • Enter your stock concentration (C1).
  • Enter your desired concentration (C2).
  • Select concentration units (M, mM, %, mg/mL, etc.).
  • Enter final volume (V2).
  • Select volume units (mL, L, or µL).
  • Click Calculate Dilution.

The calculator checks for impossible conditions (for example, target concentration greater than stock concentration) and warns you if inputs are invalid.

Worked dilution examples

Example 1: Buffer preparation

You have a 10 mM stock solution and need 100 mL of 2 mM working solution.

  • C1 = 10 mM
  • C2 = 2 mM
  • V2 = 100 mL
  • V1 = (2 × 100) / 10 = 20 mL
  • Diluent = 100 − 20 = 80 mL

So you would mix 20 mL stock + 80 mL solvent.

Example 2: Percent solution

You have a 30% stock and want 500 mL of 5% solution.

  • C1 = 30%
  • C2 = 5%
  • V2 = 500 mL
  • V1 = (5 × 500) / 30 = 83.33 mL
  • Diluent = 416.67 mL

Common mistakes to avoid

  • Mixing different concentration units without conversion (for example, M vs mM).
  • Using C2 greater than C1 for a dilution-only calculation.
  • Confusing final volume (V2) with diluent volume.
  • Rounding too early in multi-step workflows.
  • Not accounting for measurement tolerance at very small volumes.

Practical tips for better dilution accuracy

Use consistent units

Keep C1 and C2 in the same concentration unit. Keep all volumes in the same unit during calculations. This calculator assumes consistency and reports output in your selected volume unit.

Measure accurately

For micropipette work, tiny errors can produce large concentration drift. Use calibrated equipment and appropriate pipette ranges.

Document your dilution factor

Recording dilution factor (for example, 1:5, 1:10, 1:50) makes it easy to reproduce methods and communicate protocols.

Quick FAQ

Can I use this as a serial dilution calculator?

Yes, you can run the calculation step-by-step for each stage of a serial dilution series.

What if my target concentration equals stock concentration?

No dilution is needed. Use the final volume directly from stock.

What if target concentration is higher than stock?

That cannot be achieved by dilution alone. You need a more concentrated stock or solvent removal/concentration methods.

Final note

A good concentration dilution calculator saves time and reduces mistakes, but always pair calculations with sound lab practice, proper labeling, and safety procedures. Use this tool as a fast check before preparing your next solution.

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