Chemistry & Science

Free Solution Dilution Calculator — C₁V₁ = C₂V₂ Formula

Preparing accurate working solutions from concentrated stock solutions is a fundamental lab skill in chemistry, biology, biochemistry, and medicine. Diluting a solution involves adding pure solvent (such as deionized water or buffer) to lower the concentration of solute without changing total moles. Our free dilution calculator allows lab technicians and students to apply the official c1v1 c2v2 calculator equation, solve solution dilution calculator tasks, and evaluate molarity dilution calculator steps.

Solution Dilution Calculator (C₁V₁ = C₂V₂)

Calculate required stock volume, concentration, or solvent addition for lab solutions.

Stock Conc. C₁ (M, mM, %)

Stock Vol. V₁ (mL, L)

Target Conc. C₂ (M, mM, %)

Target Total Vol. V₂ (mL, L)

Stock Volume Required (V₁)

50.00

Dilution Factor = 5.0x (1:5.0 dilution).

Solvent Volume to Add:200.00 volume units

Formula Used:C₁ × V₁ = C₂ × V₂

Step-by-Step Lab Solution Preparation Guide

Measure exactly 50.00 volume units of the stock concentration (10 M).

Add 200.00 volume units of solvent (deionized water or buffer).

Mix thoroughly to achieve a final total volume of 250 units at target concentration 2 M.

Mathematical Formulas & Calculation Methods

Solution Dilution Equation

Moles of solute in stock solution equal moles of solute in diluted solution.

C₁ × V₁ = C₂ × V₂ | Solvent to Add = V₂ - V₁

Worked Step-by-Step Examples

Example 1: Prepare 250 mL of 2.0 M HCl from 10.0 M Stock HCl

"Calculate required stock volume V₁ and water volume to add."

Steps:

V₁ = (C₂ × V₂) / C₁ = (2.0 M × 250 mL) / 10.0 M = 50.0 mL.
Solvent to add = 250 mL - 50 mL = 200.0 mL.
Dilution Factor = 10.0 / 2.0 = 5.0 (1:5 dilution).

Result: Measure 50 mL stock HCl + add 200 mL water to reach 250 mL of 2.0 M HCl.

What is Solution Dilution Calculator (C₁V₁ = C₂V₂)?

A dilution calculator determines exact volumes and concentrations when preparing diluted chemical solutions.

The Dilution Factor (DF) is the ratio of initial stock concentration to final diluted concentration ($DF = C_1 / C_2 = V_2 / V_1$).

How to Use Solution Dilution Calculator (C₁V₁ = C₂V₂)

1Select target variable to solve (V₁, C₂, V₂, or C₁).
2Enter known stock concentration C₁ and stock volume V₁.
3Enter target diluted concentration C₂ and target volume V₂.
4Review calculated unknown parameter, required solvent addition, and step-by-step preparation instructions.

Key Features

Solves any unknown in C₁V₁ = C₂V₂ equation (V₁, C₁, V₂, C₂).
Calculates required solvent addition volume automatically.
Displays Dilution Factor and 3-step lab solution preparation guide.

Benefits of Using Solution Dilution Calculator (C₁V₁ = C₂V₂)

Eliminates volumetric calculation errors during chemical reagent preparation.

Saves time for chemistry students, lab researchers, and healthcare professionals.

Practical Use Cases

Chemistry & Biology Researchers

Prepare accurate stock buffers, reagents, and serial dilutions.

Lab Technicians & Pharmacists

Calculate pharmaceutical liquid solution compounding ratios.

Frequently Asked Questions

What units can be used in C1V1 = C2V2?

You can use any concentration units (Molar, mM, %, mg/mL) and volume units (mL, L, µL) as long as C1/C2 share the same concentration unit and V1/V2 share the same volume unit.

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