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Mole Concept and Stoichiometry                                                                       121

          What is Avogadro’s law
          Avogadro proposed his famous hypothesis, known as Avogadro’s
          hypothesis. The hypothesis (now known as Avogadro’s law) states     dŽ ĐŽŵƉĂƌĞ ƚŚĞ ďĞŚĂǀŝŽƵƌ ŽĨ ŐĂƐĞƐ͕ ŝƚ ŝƐ
          that, “under similar conditions of temperature and pressure equal   ŶĞĐĞƐƐĂƌLJ ƚŽ ĐŚŽŽƐĞ ĐĞƌƚĂŝŶ ĮdžĞĚ ǀĂůƵĞƐ ŽĨ
                                                                              ƚĞŵƉĞƌĂƚƵƌĞ ĂŶĚ ƉƌĞƐƐƵƌĞ͘
          volumes of all gases contain the same number of molecules.”         ^ƵĐŚ ĮdžĞĚ ǀĂůƵĞƐ ŽĨ ƚĞŵƉĞƌĂƚƵƌĞ ĂŶĚ ƉƌĞƐƐƵƌĞ
              For example, if equal volumes of different gases are held in    ĂƌĞ ĐĂůůĞĚ normal temperature and pressure
          separate containers under similar conditions of temperature and     (NTP), and standard temperature and pressure
          pressure, then each container will contain the same number of       (STP).
          molecules. The total mass of each gas in the container may differ   ͻ  Normal temperature and pressure
          from each other.                                                      dŚĞ ĂĐĐĞƉƚĞĚ EdW ǀĂůƵĞƐ ĂƌĞ
                                                                                EŽƌŵĂů ƚĞŵƉĞƌĂƚƵƌĞ  с ϬΣ  Žƌ Ϯϳϯ <
                                                                                EŽƌŵĂů ƉƌĞƐƐƵƌĞ   с ϭ Ăƚŵ с ϳϲ Đŵ ,Ő
          Atomicity                                                                              с ϳϲϬ ŵŵ ,Ő с ϳϲϬ ƚŽƌƌ
                                                                              ͻ  Standard temperature and pressure
          What is meant by atomicity                                            dŚĞ ĂĐĐĞƉƚĞĚ ^dW ǀĂůƵĞƐ ĂƌĞ
                                                                                ^ƚĂŶĚĂƌĚ ƚĞŵƉĞƌĂƚƵƌĞ с ϬΣ  с Ϯϳϯ <
          The number of atoms of all the elements present in a molecule of      ^ƚĂŶĚĂƌĚ ƉƌĞƐƐƵƌĞ   с ϭ ďĂƌ с ϭϬ  WĂ
                                                                                                         5
          any substance is called its atomicity.                                                     ;ϭ Ăƚŵ с ϭ͘ϬϭϯϮϱ ďĂƌͿ
            ƒ  Monatomic molecules.  The molecules which contain only         dŚĞ EdW ĂŶĚ ^dW ĐŽŶĚŝƟŽŶƐ ĂƌĞ ŶŽƚ ƚŚĞ ƐĂŵĞ͘
               one atom in their molecule are called monatomic molecules.     dŚŝƐ ĚŝīĞƌĞŶĐĞ͖ ŚŽǁĞǀĞƌ͕ ŝƐ ƐŵĂůů͘ dŚĞƌĞĨŽƌĞ͕ ŝŶ
               Examples.  Noble gases viz, helium, neon, argon, etc. are      ĐŽŵŵŽŶ ƵƐĞ ďŽƚŚ ƚŚĞ ƚĞƌŵƐ ŵĂLJ ďĞ ƵƐĞĚ ĂƐ ŝĨ
               monatomic gases. Therefore, the atomicity of helium (He),      ƚŚĞ ƐĂŵĞ͘
               neon (Ne) and argon (Ar) is one.

            ƒ  Diatomic molecules. The molecules which contain two atoms in their
               molecule are called diatomic molecules.  Examples.  The molecules
               of gases like hydrogen, oxygen, nitrogen, chlorine, etc. contain two
               atoms. Therefore, molecules of hydrogen, oxygen, nitrogen, chlorine
               are diatomic molecules. Thus, the atomicity of hydrogen (H ), oxygen
                                                                         2
               (O ), nitrogen (N ) and chlorine (Cl ) is two.
                                                 2
                  2
                               2
            ƒ  Triatomic molecules. The molecules which contain three atoms in their
               molecule are called triatomic molecules.  Examples.  The molecules
               of water and carbon dioxide are triatomic molecules. Therefore, the
               atomicity of water (H O) and carbon dioxide (CO ) is three.
                                                               2
                                    2
          Applications of the Avogadro’s Law

          Avogadro’s law has been found very useful in chemistry. The usefulness
          of the Avogadro’s law lies in the fact that it differentiates between an atom   dŚĞ ĂƚŽŵŝĐŝƚLJ ŽĨ
          and a molecule. Some important applications of the Avogadro’s law are        ͻഩKnjŽŶĞ ŝƐ ϯ
                                                                                       ͻഩWŚŽƐƉŚŽƌƵƐ ;LJĞůůŽǁͿ ŝƐ ϰ
          described below.                                                             ͻഩ^ƵůƉŚƵƌ ŝƐ ϴ

          How does Avogadro’s law explain Gay-Lussac’s law of
          combining volumes
          Consider this reaction,
                           a A     +   b B    o      c C    +     d D
              Let,  a  molecules of A react with  b  molecules of B, and there be  n
          molecules per unit volume of A. Under similar conditions of temperature
          and pressure, B should also have n molecules per unit volume. Then,

                     Volume of A involved in the reaction  =   1   × a units
                                                             n
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