Page 149 - Chemistry ICSE Class X
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Mole Concept and Stoichiometry                                                                       135
          Thus, the simplest ratio of Na, C and O in the given compound is 2 : 1 : 3.
          So, empirical formula of the given compound is Na CO .
                                                       2
                                                           3
          Then,
           Empirical formula mass of the compound  = (2 × 23 u) + (1 × 12 u) + (3 × 16 u)
                                                 = 46 u + 12 u + 48 u = 106 u
                                                      Molecular mass      106 u
          So,                                 n =                        =      = 1
                                                  Empirical formula mass  106 u
          Then, the molecular formula of the given compound is
                              Molecular formula  = 1 × Empirical formula
                                                 = 1 × Na CO  = Na CO 3
                                                        2
                                                           3
                                                                 2
          EXAMPLE 5.22.  A compound is found to contain 11.2% nitrogen (N), 3.2%
          hydrogen (H), 41.2% chromium (Cr) and 44.4% oxygen (O). Determine the
          stoichiometric (empirical) formula. Atomic masses (u) are: N = 14, H = 1, Cr = 52
          and O = 16.
          Solution: The above results are written as follows:

                                                                         Simplest
                        Percentage    Atomic                  Simplest     whole
            Elements                           Atomic ratio
                        composition    mass                  atomic ratio  number
                                                                           ratio
               N           11.2        14 u    11.2/14 = 0.8  0.8/0.8 = 1    2
               H            3.2         1 u     3.2/1 = 3.2  3.2/0.8 = 4     8
               Cr          41.2        52 u    41.2/52 = 0.8  0.8/0.8 = 1    2
               O           44.4        16 u    44.4/16 = 2.8 2.8/0.8 = 3.5   7
          Since, the simplest atomic ratios cannot have fractional values, hence the simplest
          whole number atomic ratio of N, H, Cr and O are 2, 8, 2, 7 respectively. Therefore,
                 Stoichiometric (empirical) formula of the compound = N H Cr O .
                                                                   2
                                                                        2
                                                                     8
                                                                          7
          (The actual formula of this compound is (NH ) Cr O . This compound is named as
                                                      2
                                                  4 2
                                                        7
                                                                 +
                                                                           2–
          ammonium dichromate. Ammonium dichromate contains NH  and Cr O  ions).
                                                                 4
                                                                           7
                                                                        2
          Calculations Based on Chemical Equations
          A balanced chemical equation provides information regarding the relative
          amount, mass or volume of the reactants and products.                        ͻ DŽůĞͲDŽůĞ ƌĞůĂƟŽŶƐŚŝƉ
              The fundamental behind all these relationships is the mole concept.      ͻ DŽůĞͲDĂƐƐ ƌĞůĂƟŽŶƐŚŝƉ
          The number of moles of any substance is directly related to its mass and     ͻ DĂƐƐͲDĂƐƐ ƌĞůĂƟŽŶƐŚŝƉ
          its number of molecules or atoms. Therefore, different relationships can be   ͻ DŽůĞͲsŽůƵŵĞ ƌĞůĂƟŽŶƐŚŝƉ
          written between the reactants and products. Some typical relationships are   ͻ DĂƐƐͲsŽůƵŵĞ ƌĞůĂƟŽŶƐŚŝƉ
          given alongside and below.                                                   ͻ sŽůƵŵĞͲsŽůƵŵĞ ƌĞůĂƟŽŶƐŚŝƉ
          Some useful relationships are,
                               23
            ƒ  1 mol { 6.02 × 10  chemical species
                     {   1 g-mol   {   1 molar mass   = 22.4 litres at NTP
            ƒ                 No. of moles of a substance =   Mass of the substance
                                                     Molar mass of the substance
                                                      Volume (in litres) of the substance at NTP
            ƒ  No. of moles of a gaseous substance =
                                                                        22.4

                                                                                                            23
            ƒ  No. of atoms or molecules in a sample of substance =    Mass of the substance      × (6.02 × 10 )
                                                                    Molar mass of the substance
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