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Dilution Calculator

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Free professional dilution calculator (C1V1 = C2V2) Calculate stock solution preparation volumes instantly with support for nM, µM, and mM units. Ideal for labs

Stock Solution Dilution

C1start × V1start = C2final × V2final
Preparation Guide

The Dilution Calculator (C1V1 = C2V2) is a professional-grade scientific utility designed for laboratory researchers, medical professionals, and chemistry students. Whether you are performing delicate molecular biology experiments or industrial-scale chemical preparations, our tool ensures you achieve the exact concentration required with zero mathematical errors.

What is a Dilution Calculator?

A dilution calculator is a mathematical tool used to determine the volume of a concentrated stock solution (C1) needed to prepare a specifically desired final concentration (C2) in a known final volume (V2). This process is fundamental in almost every scientific field, from pharmacology to genetics.

Stock Solution (C1)

The concentrated solution you already have on hand. It serves as the source of your active ingredient.

Target Volume (V2)

The total amount of final solution you need to prepare for your experiment or application.

The Universal Dilution Calculator Formula

C1V1 = C2V2

This linear equation is the cornerstone of solution preparation. By rearranging the formula to solve for V1, we can find the precise aliquot of stock solution required:

V1 = (C2 × V2) / C1

Dilution Calculator Variable Breakdown:

  • C1: Initial concentration (molarity, percentage, etc.) of the stock solution.
  • V1: The volume of stock solution to be measured and pipetted.
  • C2: The final working concentration you wish to achieve.
  • V2: The total final volume (Stock V1 + Solvent).

Dilution Calculator Supporting Advanced Units: Molar to Nanomolar

In modern biotechnology, researchers often work with extremely small quantities. Our stock dilution tool provides native support for Nanomolar (nM) and Micromolar (µM) concentrations, which are standard in ligand binding assays and PCR master mix preparations.

Unit Name Symbol Molar Equivalent
Molar M 1
Millimolar mM 10-3
Micromolar µM 10-6
Nanomolar nM 10-9
Laboratory Pipetting for Dilution

How to Dilute a Solution: 5 Pro Steps

Calculating the volume is just the first half. Preparing a high-quality dilution requires careful lab technique:

  1. Calculation: Use the C1V1 = C2V2 calculator above to find V1.
  2. Measurement: Use a calibrated micropipette to aliquot the stock solution (V1).
  3. Transfer: Place the aliquot into a volumetric flask or graduated cylinder.
  4. QS (Quantity Sufficient): Add the solvent (water, buffer, etc.) until the meniscus reaches the required V2 mark.
  5. Mixing: Invert or vortex the tube multiple times to ensure the solute is evenly distributed.

Serial Dilution vs. Single Dilution

While our tool handles single dilutions, many experiments require serial dilutions. A serial dilution is a stepwise dilution of a substance in solution. For example, a 1:10 serial dilution would involve taking 1 part of the 100% stock and adding it to 9 parts solvent (Tube 1), then taking 1 part from Tube 1 and adding it to 9 parts solvent (Tube 2), and so on. This is commonly used in microbiology to determine bacterial counts.

Frequently Asked Questions

Yes! As long as you use the same units for C1 and C2 (e.g., both are %), the formula works perfectly. For instance, diluting a 70% ethanol stock to 10% in a 500mL volume is handled the same way as molarity.

To go from millimolar (mM) to micromolar (µM), multiply by 1,000. Conversely, to go from µM to mM, divide by 1,000. Our calculator does this automatically for you.

The calculator will display an error. This happens if you are trying to “dilute” a solution to a higher concentration than the stock, which is physically impossible without evaporation or adding more solute.

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