Mole Concept

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Molecule:

  • When two or more atoms are firmly held together by a chemical bond, a molecule is formed.
  • The molecule of an element may consist of one or more atoms of the same kind, while that of the chemical compound consists of different kinds of atoms.
  • The smallest particle of an element or compound which can exist in a free state and does not take part in a chemical reaction is called molecule.
  • Molecules are denoted by formula indicating the number of constituent elements in the compound.

Molecular Mass or Molar Mass:

  • The molecular mass or molar mass of a substance is defined as the ratio of the mass of one molecule of a substance to 1/12 th of the mass of 6C12 isotope taken as 12000 units.

Gram Molecular Mass or Molar Mass:

  • The molecular mass expressed in grams is called gram molecular mass (GMM)

Berzelius Hypothesis:

  • According to Dalton’s atomic theory atoms of different elements combine with each other in a simple whole number ratio, whereas Gay Lussac’s law of combining volumes, gases combine with each other in a simple whole ratio by their volumes.
  • A Swedish chemist Berzelius correlated the two laws and put forward is the concept called Berzelius hypothesis.
  • It states that equal volumes of all gases under similar conditions of temperature and pressure contain an equal number of atoms.
  • An Italian chemist Avogadro in 1811, modified the theory by differentiating between the ultimate particle of an element that takes part in reaction (atom) and the ultimate particle that has independent existence (molecule). He argued that the smallest particle of a substance which has independent existence is not an atom but molecule.

Avogadro’s Law:

  • Equal volumes of all gasses under the same conditions of temperature & pressure contain an equal number of molecules.
  • Explanation :
  • Let two gasses gas A and Gas B be taken in two containers having equal volume (V). Let the temperature of both the gasses be the same (T).Let the pressure of the two gases be same (P). By Avogadro’s law under such conditions of equal pressure, equal volume & equal temperature, the number of molecules of gas A in the container should be equal to the number of molecules of gas B in the container.

Validation of Avogadro’s Law:

  • Consider following chemical reactions

H2    +    Cl2   →    2HCl

1vol              1vol         2 vol

Thus the simple ratio of volumes is  1 : 1 : 2

  • Suppose 1 volume of hydrogen gas contains ‘n’ molecules. By Avogadro’s law at same temperature and pressure, there should be ‘n’ molecules of chlorine and ‘2n’ molecules of hydrogen chloride are involve.

Thus ‘n’ molecules of H2 +   ‘n’ molecules of Cl2 →  ‘2n’ molecules of HCl



Dividing this equation by n, we have

1 molecule of H2 +   1 molecule of Cl2 →  2 molecules of HCl

Hydrogen and chlorine are diatomic molecules.

2 atoms  of H2 +   2 atoms of Cl2 →  2 molecules of HCl



Dividing this equation by 2, we have

1 atom of H2 +   1 atom of Cl2 →  1 molecule of HCl

  • Now, number atoms of hydrogen, chlorine and hydrogen chloride are the whole numbers the Avogadro’s law is validated.

Importance of Avogadro’s Law:

  • It differentiates between atoms and molecules of gasses.
  • It modified Dalton’s atomic theory.
  • It explains Gay Lussac’s law of combining volume.
  • It helps in determination of the atomic weight of elements.
  • It established that at N.T.P.one gram mole of any gas occupies 22.4 dm3 by volume. one mole of a gas contains 6.023 × 1023 molecules of gas.
  • It gives the relation between the vapour density & the molecular mass. The relation is

Molecular weight = 2 × vapour density.

Vapour Density:

  • The vapour density of a gas is defined as the ratio of the weight of a certain volume of a gas to the weight of the same volume of hydrogen at the same temperature & pressure.

Mole Concept 02



Relation Between Molecular Mass and vapour Density:

  • The vapour density of a gas is defined as the ratio of the weight of a certain volume of a gas to the weight of the same volume of hydrogen at the same temperature & pressure.By definition of vapour density
  • Mole Concept 02
    By Avogadro’s law, Equal volumes of all gases under the same conditions of temp. & pressure, content equal number of molecules.

Mole Concept 03



This is the relation between the molecular weight and vapour density

Gram Molecular Volume (Molar volume) (GMV):

  • The volume occupied by one mole of a gas at STP (or NTP) is called as gram molar volume. It is 22.4 dm3 at NTP.
  • Proof: 

    Mathematically, Avogadro’s law is stated as “At constant temperature (T) and pressure (P) the volume (V) of a gas is directly proportional to the number of molecules (n).

Mole Concept 01

  • The molecular mass of gas corresponds to one mole of a gas hence we can say that one mole of a gas occupies 22.4 dm3 at STP.

Atomicity:

  • The number of atoms present in a molecule of a substance is called the atomicity of that substance.
  • Examples: The number in bracket indicates atomicity of that compound. Helium He (1), Dioxygen O2 (2),  Ozone O3 (3), 4 Phosphorous P4 (4), Sulphur S8 (8),  Carbon dioxide CO2 (3), Ammonia NH3 (4).
  • Atomicity indicates that how many atoms are present in the molecule of the element or the compound.

Atomicity of Element using Avogadro’s Law:

  • The number of molecules present in a molecule of a substance is called the atomicity of substance.
  • Let us consider the formation of ammonia. Experimentally it is found that 1 volume of nitrogen reacts with 3 volumes of hydrogen to form 2 volumes of ammonia. Thus,

N2       +   3H2      →      2NH3

1 vol             3 vol                2 vol

1/2  vol       3/2 vol             1vol



  • According to Avogadro ’s law “equal volumes of all gases under the identical condition of temperature and pressure contain the same number of molecules”. If 1 volume of ammonia contains n molecules  1/2 volume of nitrogen would contain n /2 molecules and 3/2  volume of hydrogen would contain 3n/2 molecules.

∴ n/2  molecules of Nitrogen + 3n/2 molecules of Hydrogen   → n molecules of Ammonia

∴  1/2 molecule of nitrogen + 3/2 molecule of hydrogen →   1molecule of ammonia.

  • As a molecule can be divided into the constituent atoms but the atoms cannot be divided further nitrogen molecule has to be diatomic, hydrogen diatomic and ammonia tetra-atomic.
  • Thus atomicity of Nitrogen =2, atomicity of hydrogen = 2 and atomicity of ammonia = 4.

Mole Concept:

  • The term mole was introduced by Wilhelm Ostwald. In Latin mole means heap or pile. He assumed substance as heap or pile of elementary entities like atoms, molecules, ions etc. and called it as mole.
  • When we are studying matter we require the actual number of molecules involved in the reaction. The atoms and molecules are discrete particles present in large number in the matter. To denote this number of atoms or molecules the term mole is used.
  • The amount of substance that contains as many elementary entities, like atoms, molecules, ions, photons as there are atoms in 0.012 kg of carbon 12 is called mole of a substance.
  • Example: 1 mole of hydrogen means 2 g of hydrogen. 1 mole of oxygen means 32 g of oxygen.
  • A mole is a fundamental unit of amount of substance in SI system of units. It is a collection of 6.022 × 1023 particles.   The number 6.022 × 1023  is also called as Avogadro’s number.
  • 1 mole also corresponds to the atomic or molecular mass of an element expressed in gram.  Thus 1 mole of a gas contains 6.022 × 1023 molecules of gas. 1-mole atom of a gas contains 6.022 × 1023 atoms of gas. 1-mole ions contain 6.022 × 1023 ions etc.

Mole and Avogadro’s Number:

  • The number of particles such as atoms, molecules, ions, in one mole of a substance is called Avogadro’s number or Avogadro’s constant.
  • It is denoted by ‘N’. Its value at STP is  6.022 × 1023 per mole. Thus 1 mole of a gas contains 6.022 × 1023 molecules of gas. 1-mole atom of a gas contains 6.022 × 1023 atoms of gas. 1-mole ions contain 6.022 × 1023 ions etc.

The Significance of Avogadro’s Number:

  • Avogadro’s number is equal to the number of molecules in one gram mole or one gram molecular mass of any compound. Thus gram molecular mass of any substance is equal to the mass in grams of Avogadro’s number of 6.022 × 1023 molecules.
  • Avogadro’s number is equal to the number of atoms in one gram mole or one gram atomic mass of an element. Thus gram atomic mass of any element is equal to the weight in grams of Avogadro’s number of 6.022 × 1023 atoms.
  • Avogadro’s number is equal to the number of molecules in 22.4 dm3 of any gas at NTP.
  • The actual mass of an element or compound can be found using this number.

Concept of one gram atom:

  • one gram atom of an element is the amount of the element which is equal to the mass of 1 mole (or 6.023 × 1023 atoms) of the element or atomic mass of the element in grams.
  • Thus one gram atom of sodium is equal to one mole of sodium corresponds to 23 grams of sodium, because the atomic mass of sodium is 23 grams.


Science > Chemistry > Basic Concepts of ChemistryYou are Here
Physics Chemistry  Biology  Mathematics

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