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Normality and Molarity with Examples
Learn about normality, equivalents, and how to prepare normal solutions in chemistry, with examples on HCl, NaOH, and H₂SO₄.
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What Is Normality and How to Prepare Normal Solutions in Chemistry

Introduction to Normality

In chemistry, the concentration of a solution is crucial to understanding how substances interact in reactions. Normality is one of the ways to express this concentration, specifically focusing on the reactive units in a solution. It measures the concentration of equivalents per litre of solution, where equivalents refer to the amount of a substance that can donate or accept one mole of hydrogen ions (H⁺) or electrons in a chemical reaction.

What Does "Equivalent" Mean?

An equivalent refers to the amount of a substance that reacts with or supplies one mole of hydrogen ions (H⁺) or electrons in a reaction. The definition varies based on the type of substance:

  • For acids, an equivalent is the amount of acid that donates 1 mole of H⁺ ions.
  • For bases, an equivalent is the amount of base that accepts 1 mole of H⁺ ions.
  • For redox reactions, an equivalent is the amount of a substance that donates or accepts 1 mole of electrons.

Normality expresses how many of these equivalents are in 1 litre of a solution.

Normality vs Molarity

While molarity is the number of moles of solute per litre of solution, normality goes a step further. It accounts for the number of reactive units (equivalents) per litre, which is particularly important in acid-base and redox reactions.

  • For example, in a 1 M solution of HCl (hydrochloric acid), since HCl releases 1 mole of H⁺ ions per mole of HCl, the normality is 1 N.
  • For NaOH, which can accept 1 mole of H⁺ ions, a 1 M NaOH solution also has a normality of 1 N.

However, sulfuric acid (H₂SO₄) behaves differently because it can donate 2 moles of H⁺ ions per molecule.

Example: Preparing a 5 Normal (5 N) Solution of H₂SO₄

Sulfuric acid (H₂SO₄) dissociates as:

H2SO42H++SO42−​

Since 1 mole of H₂SO₄ releases 2 moles of H⁺ ions, it is a diprotic acid, meaning that its normality is twice its molarity.

If we want to prepare a 5 N solution of H₂SO₄, we need to calculate the required molarity:

Molarity (M)=Normality (N)2=52=2.5M

Thus, we need a 2.5 M solution of H₂SO₄.

Step-by-Step Process to Make a 5 N Solution of H₂SO₄

  1. Concentrated H₂SO₄ is typically about 18 M.

  2. Use the dilution formula to calculate the volume of concentrated acid needed:

    M1V1=M2V2​

    Where:

    • M1M_1 = initial concentration (18 M),
    • V1V_1 = volume of concentrated acid,
    • M2M_2 = desired final molarity (2.5 M),
    • V2V_2 = final volume (let’s assume 1 litre).

    Solving:

    (18M)(V1)=(2.5M)(1L)(18 \, \text{M})(V_1) = (2.5 \, \text{M})(1 \, \text{L})
    V1=2.518=0.139L=139mL
  3. Procedure:

    • Measure 139 mL of concentrated H₂SO₄ (18 M).
    • Slowly add it to a container and carefully dilute it with distilled water to a final volume of 1 litre.

Now, you have a 5 N H₂SO₄ solution, which is also 2.5 M.

Conclusion

Normality is an important concept in chemistry, particularly when dealing with acid-base and redox reactions. It provides a way to express the concentration of reactive units in a solution. By understanding normality and molarity, you can better prepare solutions for experiments and calculations. Whether you’re working with acids like HCl or H₂SO₄, understanding how to convert between normality and molarity is key to accurate solution preparation.

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