Relation Between Normality and Molarity, Formula, Differences, Examples


Q1: What is the Relationship Between Normality and Molarity ?

Normality (N) and Molarity (M) are both measures of the concentration of a solution. However, normality considers the reactive capacity (n-factor) of a substance, while molarity only considers the number of moles of solute per liter of solution.

The relationship between Normality (N) and Molarity (M) is given by: $$N = M \times \text{n-factor}$$

where:

  • N = Normality (equivalents per liter)
  • M = Molarity (moles per liter)
  • n-factor = The number of H+ ions (for acids), OH ions (for bases), or electrons transferred (for redox reactions) per mole of solute.

Q2: How Does n-factor Differ for Acids, Bases, and Redox Compounds?

Substance TypeFormula for n-factorExample Calculation
AcidsNo. of H+ ions released per moleculeH2SO4 (M = 1 M, n = 2) → N = 2 N
BasesNo. of OH ions released per moleculeCa(OH)2 (M = 1 M, n = 2) → N = 2 N
SaltsTotal charge of cation/anionAl2(SO4)4 (M = 1 M, n = 6) → N = 6 N
Redox ReactionsNo. of electrons exchanged per moleculeFe2+ → Fe3+ (M = 1 M, n = 1) → N = 1 N

Q3: Can You Give Examples Showing the Relationship Between Normality and Molarity?

Example 1: For Acids

Let’s consider H2SO4 (Sulfuric acid), which releases 2 H+ ions per molecule.

  • Given: 1 M solution of H2SO4
  • n-factor = 2 (since it releases 2 H+ ions)
  • Using the formula: $N = M \times n$
  • $N = 1 \times 2 = 2N\:$ So, a 1 M solution of H2SO4 is actually 2 N.

Example 2: For Bases

Consider Ca(OH)2 (Calcium Hydroxide), which releases 2 OH ions per molecule.

  • Given: 0.5 M solution of Ca(OH)2
  • n-factor = 2 (since it releases 2 OH ions)
  • Using the formula: $N = 0.5 \times 2 = 1 N\:$ So, a 0.5 M solution of Ca(OH)2 is actually 1 N.

Example 3: For Redox Reactions

Consider Fe2+ → Fe3+, where 1 electron is lost per ion.

  • Given: 0.1 M Fe2+ solution
  • n-factor = 1 (since Fe2+ loses 1 electron)
  • Using the formula: $N = 0.1 \times 1 = 0.1 N\:$ So, a 0.1 M Fe2+ solution is also 0.1 N.

Q4: When Are Normality and Molarity the Same?

For substances where n-factor = 1, normality and molarity are the same. Examples:

  • HCl (Hydrochloric Acid)n-factor = 1
    • 1 M HCl = 1 N HCl
  • NaOH (Sodium Hydroxide)n-factor = 1
    • 1 M NaOH = 1 N NaOH
  • AgNO₃ (Silver Nitrate) in Redox Reactionsn-factor = 1
    • 1 M AgNO3 = 1 N AgNO3

Q5: Why is Normality Used Instead of Molarity?

  • Titrations & Neutralization Reactions: Since acids and bases react based on equivalents, normality gives a direct ratio.
  • Redox Reactions: Electron transfer depends on n-factor, making normality more accurate.
  • Complex Reactions: In precipitation reactions and salt reactions, normality simplifies calculations.

Normality (N) vs. Molarity (M) – Understanding the Key Difference

Both Normality (N) and Molarity (M) measure the concentration of a solution, but they serve different purposes:

  • Molarity (M): Counts the number of moles of solute per liter of solution.
  • Normality (N): Takes into account the reactive capacity of a substance in a given reaction by considering the n-factor (equivalents).

Therefore,

Molarity (M) tells us the number of molecules present.
Normality (N) tells us how reactive those molecules are in a given reaction!

This is why normality is crucial in titrations, redox reactions, and complex chemical processes where the actual reactive capacity of a solution matters. 🎯


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Er. Neeraj K.Anand is a freelance mentor and writer who specializes in Engineering & Science subjects. Neeraj Anand received a B.Tech degree in Electronics and Communication Engineering from N.I.T Warangal & M.Tech Post Graduation from IETE, New Delhi. He has over 30 years of teaching experience and serves as the Head of Department of ANAND CLASSES. He concentrated all his energy and experiences in academics and subsequently grew up as one of the best mentors in the country for students aspiring for success in competitive examinations. In parallel, he started a Technical Publication "ANAND TECHNICAL PUBLISHERS" in 2002 and Educational Newspaper "NATIONAL EDUCATION NEWS" in 2014 at Jalandhar. Now he is a Director of leading publication "ANAND TECHNICAL PUBLISHERS", "ANAND CLASSES" and "NATIONAL EDUCATION NEWS". He has published more than hundred books in the field of Physics, Mathematics, Computers and Information Technology. Besides this he has written many books to help students prepare for IIT-JEE and AIPMT entrance exams. He is an executive member of the IEEE (Institute of Electrical & Electronics Engineers. USA) and honorary member of many Indian scientific societies such as Institution of Electronics & Telecommunication Engineers, Aeronautical Society of India, Bioinformatics Institute of India, Institution of Engineers. He has got award from American Biographical Institute Board of International Research in the year 2005.