How to Make Dilutions With the M1V1=M2V2 Formula

Dilution is a fundamental process in various aspects of life, from preparing everyday beverages to conducting complex scientific experiments. It involves reducing the concentration of a substance in a solution. Understanding dilution is a valuable skill that applies across many fields, ensuring products are safe, effective, and correctly formulated.

Core Concepts of Dilution

A solution consists of a “solute,” the substance being dissolved, and a “solvent,” the substance doing the dissolving. For instance, in saltwater, salt is the solute and water is the solvent. A “stock solution” refers to a highly concentrated solution prepared for later dilution.

The core principle of dilution is that while the volume of the solution increases and the concentration of the solute decreases, the actual amount of solute remains constant. Adding more solvent simply spreads the existing solute particles over a larger volume, making the solution less concentrated. This principle is important for accurately preparing solutions of desired strengths.

The Dilution Formula

The relationship between a concentrated stock solution and its diluted form is described by the dilution formula: M1V1=M2V2. In this equation, M1 represents the initial concentration of the stock solution, and V1 is the initial volume of that stock solution used for dilution. M2 signifies the desired final concentration of the diluted solution, and V2 is the total final volume of the diluted solution.

This formula works because the total amount of solute, calculated as concentration multiplied by volume (M x V), stays the same before and after dilution. Consistency in units is important; if M1 is in molarity, M2 must also be in molarity, and if V1 is in milliliters, V2 should also be in milliliters.

Making a Dilution Step-by-Step

Performing a dilution requires careful calculation and precise technique. The first step involves using the M1V1=M2V2 formula to determine the unknown variable, such as the volume of the stock solution (V1) needed. For example, to prepare 500 mL of a 0.1 M solution from a 2.0 M stock, calculate V1 = (0.1 M 500 mL) / 2.0 M = 25 mL.

Gather necessary equipment, including a volumetric flask for accurate final volume and a pipette for precise measurement and transfer of the stock solution.

Accurately measure the calculated volume of stock solution using a pipette and transfer it into the appropriate volumetric flask. Carefully add the solvent, usually water, to the flask, ensuring thorough mixing by gentle swirling. Continue adding solvent until the solution reaches the calibration mark on the volumetric flask, indicating the desired final volume. Precision in measurements ensures the final solution has the intended concentration.

Practical Considerations for Dilution

Safety is a primary concern when performing dilutions, especially with concentrated chemicals. Always wear appropriate personal protective equipment (PPE), such as gloves and eye protection. Conduct dilutions in well-ventilated areas, like under a fume hood.

Properly dispose of any waste solutions according to local regulations. Dilutions have extensive applications beyond the laboratory, including preparing cleaning solutions, mixing concentrated juices, or diluting medications to the correct dosage. Always label prepared solutions clearly with the substance name, concentration, and date of preparation to avoid confusion and ensure safe use.