Solution Dilution

Report / Improvement Versions | 1.0.0
Input Parameters
Field Guide
Initial Concentration (C₁)
Concentration of the stock solution (mol/L, %, or any unit)
Initial Volume (V₁, mL)
Volume of stock solution to use (in milliliters)
Desired Concentration (C₂)
Target concentration after dilution (same unit as C₁)
Desired Final Volume (V₂, mL, optional)
Final volume of diluted solution. Leave blank to calculate required stock volume instead.

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Formulas & Detailed Explanation

This tool calculates the volumes required for diluting a concentrated (stock) solution to a desired lower concentration.

It uses the fundamental dilution equation derived from conservation of solute amount:

\[ C_1 V_1 = C_2 V_2 \]

where: - \( C_1 \) is the initial concentration - \( V_1 \) is the volume of stock solution used - \( C_2 \) is the desired final concentration - \( V_2 \) is the final volume of diluted solution

The tool supports two common laboratory scenarios: 1. Fixed final volume (V₂) — calculates how much stock solution (V₁) to take and how much solvent to add. 2. Fixed stock volume (V₁) — calculates the final volume (V₂) after dilution.

Concentrations can be in any consistent unit (M, %, ppm, etc.) as long as both C₁ and C₂ use the same unit. Volumes are in milliliters for practical lab use.

Essential for preparing working solutions from concentrates, serial dilutions, standard curves, and reagent preparation in chemistry, pharmacy, and biology labs.

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