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134                                                                                     ICSE Chemistry – 10

                                           Step 2.  If the sum of the percentage of all these elements is not 100, then the
                                                  difference gives the percentage of oxygen. Calculate the percentage of
                                                  oxygen in the given compound by using the following relationship:
                                                  Percentage of oxygen =  100 – (Sum of the percentage of all other
                                                                         elements present in the compound).
                                           Step 3. Divide the percentage of each element by the atomic mass of the
                                                  respective element. The ratio so obtained is called atomic ratio.
                                           Step 4.  Divide the atomic ratios by the lowest value, and convert these into the
                                                  nearest whole numbers. These whole numbers give the simplest ratio
                                                  between the number of atoms of the various elements present in the
                                                  compound.
                                           Step 5.  Write down the empirical formula of the compound.
                                           Step 6. Calculate the empirical formula mass by adding the atomic masses of
                                                  all the atoms present in the empirical formula.
                                           Step 7. Obtain  molecular mass  (or molar mass) either from experiment or
                                                  from the vapour density of the compound by using the relationship,
                                                              Molecular mass = 2 × Vapour density
                                           Step 8.  Obtain the value of n through the relation,
                                                                         Molecular mass
                                                                  n =
                                                                      Empirical formula mass
                                                  ‘n’ is an integer, such as 1, 2, etc.
                                           Step 9.  The molecular formula is then obtained by
                                                          Molecular formula = n × Empirical formula
                                                The above method of writing the molecular formula of a compound is
                                           illustrated through the following numerical problems:

                                           EXAMPLE 5.20.  A compound contains 75% carbon and 25% hydrogen.
                                           Determine its empirical formula. The molecular mass of this compound is
                                           16 amu. Determine its molecular formula also. The atomic masses are: C = 12 u,
                                           H = 1 u.
                                           Solution:            Percentage   Atomic     Atomic       Simplest
                                                     Elements
                                                               composition    mass       ratio     atomic ratio
                                                        C           75         12     75/12 = 6.25  6.25/6.25 = 1
                                                        H           25          1      25/1 = 25       25/6.25 = 4
                                           So,
                                             Empirical formula of the compound = C H  or CH 4
                                                                                   4
                                                                                1
                                           Then,        Empirical formula mass = (1 × 12 u) + (4 × 1 u) = 12 u + 4 u = 16 u
                                                        Molecular mass (given) = 16 u
                                                                                   Molecular mass       16 u
                                           So,                              n =                       =      = 1
                                                                                Empirical formula mass  16 u
                                           Therefore,       Molecular formula = 1 × Empirical formula = 1 × CH  = CH 4
                                                                                                           4
                                           EXAMPLE 5.21.  A substance on analysis gave the following percentage
                                           composition : Na = 43.4%, C = 11.3% and O = 45.3%. Determine its empirical and
                                           molecular formulae. Given the relative molecular mass of the compound is 106.
                                           Solution:            Percentage   Atomic                    Simplest
                                                     Elements                         Atomic ratio
                                                               composition    mass                    atomic ratio
                                                        Na         43.4        23     43.4/23 = 1.89  1.89/0.94 = 2
                                                        C          11.3        12     11.3/12 = 0.94  0.94/0.94 = 1
                                                        O          45.3        16     45.3/16 = 2.83  2.83/0.94 = 3
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