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Mole Concept and Stoichiometry                                                                       129

          What is relative molecular mass of a substance
          The relative molecular mass (M   QH CP[ UWDUVCPEG KU FGſPGF CU HQNNQYU
                                        r
              “The relative molecular mass of a substance is the average mass of
                                                      12
          its molecule as compared with the mass of a  C atom taken as 12 units.”
                                                       6
              Relative molecular mass of a substance,
                             Average mass of a molecule of the substance               /ƚ ŵĂLJ ďĞ ŶŽƚĞĚ ƚŚĂƚ ƚŚĞ ŵĂŐŶŝƚƵĚĞƐ
                        M  =                                                           ŽĨ ƚŚĞ ƌĞůĂƟǀĞ ŵŽůĞĐƵůĂƌ ŵĂƐƐ ĂŶĚ
                          r
                                                          12
                                    1   × (Mass of an atom of  C)
                                    12                    6                            ŵŽůĞĐƵůĂƌ ŵĂƐƐ ĂƌĞ ĞƋƵĂů͘ dŚĞ ƚǁŽ
                                                                                       ĚŝīĞƌ ŽŶůLJ ŝŶ ƚŚĞŝƌ ƵŶŝƚƐ͘
              The relative molecular mass (M ) is a pure number and has no unit.
                                             r
          How is the molecular mass of a substance calculated
          Molecule are composed of two or more atoms of the same or different
          elements. Mass is an additive property. So,  the molecular mass of any
          substance can be obtained by adding together the atomic masses of all
          the atoms present in one molecule of the substance.
              For example, the molecular formula of water is H O. Therefore,
                                                                    2
          Molecular mass of H O = (2 × Atomic mass   +  (1 × Atomic mass of oxygen)
                              2
                                     of hydrogen)
              We know that,
                   Atomic mass of hydrogen = 1 u
              and     Atomic mass of oxygen = 16 u
              Therefore,
              Molecular mass of H O = (2 × 1 u) + (1 × 16 u) = (2 u + 16 u) = 18 u
                                   2

          Formula Mass

          What is the formula mass of a substance
          For ionic compounds, such as sodium chloride, there is no discrete individual
          molecule. Instead, these are the aggregates represented by a formula of the   dŚĞ ĐŽŶĐĞƉƚ ŽĨ ĨŽƌŵƵůĂ ŵĂƐƐ
                    –
                 +
                                                                            +
                                                                                –
          type, (A  B ) . Solid sodium chloride is represented by the formula (Na Cl ) ,   ŝƐ ĂƉƉůŝĐĂďůĞ ŽŶůLJ ƚŽ ƚŚĞ ŝŽŶŝĐ
                     n
                                                                                 n
          or (NaCl) . Thus, the simplest formula for sodium chloride can be written as   ƐƵďƐƚĂŶĐĞƐ͘
                   n
          NaCl. So, the concept of formula mass is used for ionic compounds.
              The sum of the atomic masses of all atoms in a formula unit of a
          substance is called the formula mass of the substance.
          How is the formula mass of an ionic substance calculated
          The formula mass of any ionic compound is expressed as the sum of the
          atomic masses of all the atoms present in its formula.
          For example, for NaCl,
           Formula mass of NaCl = (1 × Atomic mass of Na) + (1 × Atomic mass of Cl)
              We know that
                      Atomic mass of Na  = 23 u
              and      Atomic mass of Cl  = 35.5 u
              So,  Formula mass of NaCl  = (1 × 23 u) + (1 × 35.5 u)
                                           = (23 + 35.5) u = 58.5 u
              Thus, the molecular mass (or empirical formula mass) of a substance is equal
          to the sum of the atomic masses of all the elements present in its molecular (or
          empirical) formula, taking into account the number of atoms of each element present
          in its molecular (or empirical) formula. For example,
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