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Molarity Dilution C1V1 Calculator

· Last updated：2026-06-18

Solve C1V1=C2V2 dilutions, stock-to-working recipes, and simple serial dilution plans

Details

What this tool helps you do

Computes stock and diluent volumes for one-step dilutions and suggests a serial plan when you need to bridge a large concentration gap.

Execution

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Written by the Elysia Tools team
Math502
Lab24

Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category
Math & Numbers
Input types
number
Output type
json
Sample coverage
4
API ready
Yes

Overview

The Molarity Dilution C1V1 Calculator simplifies laboratory preparation by computing the exact stock and diluent volumes needed for one-step dilutions using the C1V1 = C2V2 formula. It also generates structured serial dilution plans when bridging large concentration gaps, helping you prepare accurate working solutions from concentrated stock solutions.

When to use

  • When preparing a specific volume of a working solution from a highly concentrated stock solution.
  • When the concentration gap between stock and target is too large for a single-step pipetting action, requiring a serial dilution plan.
  • When calculating the exact volume of buffer or solvent needed to dilute chemical reagents or biological samples.

How it works

  1. 1Enter your starting stock concentration and your desired target concentration.
  2. 2Input the final volume of the working solution you need to prepare.
  3. 3Optionally set a preferred step factor to guide the generation of a serial dilution plan.
  4. 4Submit the values to instantly calculate the required stock volume, diluent volume, and dilution factors.

Use cases

  • Preparing standard calibration curves for spectrophotometry or chromatography.
  • Diluting concentrated stock buffers to working concentrations for biological assays.
  • Creating serial dilutions of drug compounds for in vitro cell culture testing.

Examples

1. Preparing a Working Buffer Solution

Lab Technician

Background

A technician needs to prepare 500 mL of a 0.5 M PBS working solution from a 10 M PBS stock solution.

Problem

Manually calculating the exact volumes of stock and water to mix without errors.

How to use

Input 10 for Stock Concentration, 0.5 for Target Concentration, and 500 for Final Volume.

stockConcentration: 10, targetConcentration: 0.5, finalVolume: 500

Outcome

The calculator outputs a stock volume of 25 mL and a diluent volume of 475 mL.

2. Planning a High-Ratio Serial Dilution

Research Scientist

Background

A researcher needs to dilute a 100 mM compound down to a 0.1 mM working concentration in a final volume of 10 mL.

Problem

The dilution factor is 1000, which is too high for a single pipetting step without losing accuracy.

How to use

Input 100 for Stock Concentration, 0.1 for Target Concentration, 10 for Final Volume, and set the Preferred Step Factor to 10.

FAQ

What formula does this calculator use?

It uses the standard dilution equation C1V1 = C2V2, where C represents concentration and V represents volume.

Can I use different units for concentration and volume?

Yes, as long as you keep the units consistent across the input fields (e.g., if stock is in M, target must be in M).

What is a serial dilution plan?

It is a step-by-step series of dilutions used when the target concentration is too low to measure accurately in a single step.

What does the preferred step factor do?

It defines the dilution ratio per step (e.g., 10 for a 1:10 dilution) when generating a multi-step serial dilution plan.

How does the calculator determine the diluent volume?

It subtracts the calculated stock volume (V1) from the final target volume (V2) to find the required volume of solvent.

Hub

Chemistry Lab Calculations and Reference

Prepare a traceable stoichiometry or solution plan by checking references, balancing equations, calculating molar quantities, normalizing units, and controlling significant figures.

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stockConcentration: 100, targetConcentration: 0.1, finalVolume: 10, preferredStepFactor: 10

Outcome

The calculator provides a serial plan showing a total dilution factor of 1000, suggesting a 3-step 1:10 serial dilution.