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How to Make a Dilute Solution from a Concentrated Solution?

Published in Chemical Dilution 5 mins read

Diluting a concentrated solution is a fundamental laboratory technique that involves simply adding more solvent to reduce the concentration of the solute.

The process of dilution decreases the concentration of a solute in a solution, typically by mixing it with additional solvent. The key principle is to add more solvent without introducing more solute, thus increasing the total volume while keeping the amount of dissolved substance constant. This results in a less concentrated, or "dilute," solution. It's crucial to mix the resulting solution thoroughly to ensure that all parts of the solution are homogeneous and have an even concentration.

Understanding the Dilution Principle

When you dilute a solution, the amount of solute remains unchanged; only the volume of the solvent and thus the total solution volume increases. This concept is vital for accurately preparing solutions of desired concentrations.

The Dilution Formula

The relationship between the initial (concentrated) and final (dilute) states of a solution can be expressed by the dilution formula:

$$M_1V_1 = M_2V_2$$

Where:

  • M₁ is the molarity (concentration) of the initial concentrated solution.
  • V₁ is the volume of the initial concentrated solution that will be diluted.
  • M₂ is the molarity (concentration) of the final dilute solution.
  • V₂ is the total volume of the final dilute solution.

This formula is incredibly useful for calculating the volume of concentrated solution needed to achieve a specific dilute concentration or for determining the final concentration after dilution.

Step-by-Step Guide to Diluting a Solution

Follow these steps to safely and accurately prepare a dilute solution from a concentrated one:

  1. Calculate Required Volumes:

    • Determine the target concentration ($M_2$) and volume ($V_2$) of the dilute solution you wish to prepare.
    • Using the known concentration of your stock solution ($M_1$), rearrange the dilution formula to solve for $V_1$:
      $V_1 = \frac{M_2V_2}{M_1}$
    • This calculation tells you the exact volume of the concentrated solution ($V_1$) you need to measure out.
    • Example: To make 100 mL of 0.5 M HCl from a 2.0 M HCl stock solution:
      $V_1 = \frac{(0.5 \text{ M})(100 \text{ mL})}{2.0 \text{ M}} = 25 \text{ mL}$
      You will need 25 mL of the 2.0 M HCl solution.
  2. Gather Materials:

    • Personal Protective Equipment (PPE): Always wear safety goggles, lab coat, and gloves.
    • Concentrated Stock Solution: The solution you are starting with.
    • Solvent: Typically distilled or deionized water.
    • Appropriate Glassware:
      • Volumetric flask for precise final volume (e.g., 100 mL volumetric flask).
      • Graduated cylinder or pipette for measuring the concentrated solution ($V_1$).
      • Beaker or flask for initial mixing if needed.
    • Funnel: To prevent spills when transferring liquids.
    • Stirring Rod or Magnetic Stirrer: For thorough mixing.
  3. Measure the Concentrated Solution:

    • Carefully measure the calculated volume ($V_1$) of the concentrated solution using a pipette for high accuracy or a graduated cylinder for moderate accuracy.
    • Transfer this measured volume into the volumetric flask or the vessel where the dilution will occur.
  4. Add Solvent (Crucial Safety Step):

    • Always add the concentrated solution to a portion of the solvent first, especially when dealing with strong acids or bases. Never add water directly to a concentrated acid or base, as this can generate significant heat, causing splashing or boiling.
    • Add about half to two-thirds of the total required solvent (e.g., water) to the flask containing the concentrated solution.
    • Gently swirl or stir the solution to begin mixing.
  5. Mix Thoroughly:

    • Continue adding solvent up to the calibration mark on the volumetric flask. For other containers, add until the desired final volume is reached.
    • Cap the volumetric flask (if using) and invert it several times, or use a stirring rod/magnetic stirrer to ensure the solution is completely homogeneous. This guarantees an even distribution of the solute throughout the dilute solution.
  6. Label the New Solution:

    • Immediately label the container with the new solution's name, concentration, preparation date, and your initials.

Safety Considerations

When diluting solutions, especially strong acids or bases, safety is paramount.

  • Ventilation: Work in a fume hood to avoid inhaling hazardous fumes.
  • Temperature: Dilution, particularly of strong acids (like sulfuric acid) or bases, is an exothermic process (releases heat). Add the concentrated solution slowly to the solvent, allowing for heat dissipation. You may need an ice bath for cooling if preparing large volumes.
  • Material Compatibility: Ensure all glassware and equipment are compatible with the chemicals being used.
  • Disposal: Dispose of any waste solutions according to proper laboratory safety guidelines and environmental regulations.

Practical Tips for Accurate Dilution

  • Precision Matters: For highly accurate dilutions, use volumetric pipettes to measure the concentrated solution and volumetric flasks for the final volume.
  • Temperature Effects: The volume of a liquid can change with temperature. If high precision is critical, perform dilutions at a consistent temperature, ideally near the calibration temperature of the glassware (usually 20°C).
  • Reading Meniscus: When measuring liquids, always read the bottom of the meniscus at eye level for accurate volume measurement.
  • Cleanliness: Ensure all glassware is thoroughly cleaned and rinsed with the solvent before use to prevent contamination.

By following these guidelines, you can safely and accurately prepare dilute solutions from concentrated stocks, a fundamental skill in chemistry and related fields.