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Chemistry
              for Secondary Schools



              An atom is very  small  and  it  would  be  difficult  to  measure  its  actual  mass.
              To overcome this difficulty, chemists developed a simpler way to express the
              mass of an atom. This involved expressing the mass of an atom in relation to
              a chosen standard atomic mass. The carbon atom was chosen as the standard
              atom (reference atom) and its mass was arbitrarily chosen as 12 units (not actual
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              value). Then, using an instrument called a mass spectrometer, all the other atoms
              were compared to this standard atom. This reference is called the Carbon-12
              scale. For example, it was found that the:

              (a)   magnesium atom was twice as heavy as the reference atom; so its mass was
                    put at 24.

              (b)   hydrogen atom was   1   as heavy as the reference atom; so its mass was put
                    at 1.              12
                                     1
              (c)   helium atom was   as heavy as the reference atom; so its mass was put at
                    4.               3


              The mass of an atom obtained by comparing it with the arbitrary mass of a
              carbon-12 atom is called its relative atomic mass (R.A.M. or A ). The relative
                                                                             r
              atomic mass of an  element is the average mass of one atom of the  element

              relative to   1   the mass of one atom of carbon-12. Therefore, R.A.M. may not
                         12 th
              necessarily be a whole number.

                           Average mass of atom of an element
              That is, A !    1
                        r
                                                   -12 atom
                             12 th  the mass of carbon -12 atom


              Table 1.4 gives the atomic numbers and relative atomic masses of the first 20
              elements in the periodic table. The relative atomic masses of such elements are
              obtained by calculating the average mass of all the isotopes of each element.

              For isotopic elements, the relative atomic mass (R.A.M.) can be calculated using
              the following formula:

              Relative atomic mass (R.A.M.) = ∑ isotopic mass × percentage abundance


              Note: ∑ = Summation






                  18                                                  Student’s Book Form Two




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