Page 133 - Chemistry ICSE Class X
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Mole Concept and Stoichiometry                                                                       119
          So,
                   To produce 2 vol of steam, one requires 4 vol of N O.
                                                             2
                 To produce 150 mL of steam, one requires   4 vol   × 150 mL of N O
                                                       2 vol             2
                                                      = 300 mL of N O
                                                                   2

          EXAMPLE 5.5.  200 mL of ethylene (C H ) is burnt in just sufficient air (containing
                                           2
                                              4
          20% oxygen) to form carbon dioxide gas and steam. If all measurements are made
          at constant pressure and 100°C, find the composition of resulting mixture.
          Solution: The reaction is
                                             100°C
                   C H (g) +    3O (g)      o        2CO (g)   +     2H O(g)
                    2
                                   2
                      4
                                                           2
                                                                          2
                    1 vol        3 vol                   2 vol           2 vol
                   200 mL
                   From the Gay-Lussac’s law,
                             Volume of oxygen required  =  3 vol   × 200 mL = 600 mL
                                                        1 vol
                  Air contains 20% oxygen by volume, so
                       Volume of nitrogen in the mixture  =   80   × 600 mL      = 2400 mL
                                                        20
                        From the reaction stoichiometry,
                     Volume of carbon dioxide produced  =   2 vol   × 200 mL = 400 mL
                                                        1 vol
                             Volume of steam produced  =  2 vol   × 200 mL = 400 mL
                                                        1 vol
                   Therefore, the composition of the gaseous mixture is
                           Ethylene        =  200 mL – 200 mL = 0 mL
                           Oxygen          =  600 mL – 600 mL = 0 mL
                           Nitrogen        = 2400 mL
                           Carbon dioxide   =  400 mL
                           Steam           = 400 mL
                                                                        3
          EXAMPLE 5.6.  A mixture of hydrogen and chlorine occupying 36 cm  of volume
                                                   3
          was exploded. On shaking it with water, 4 cm  of hydrogen was left behind. Find
          the composition of the mixture.
          Solution: The balanced chemical equation for the reaction between hydrogen and
          chlorine is
                    H (g)   +    Cl (g)      o        2HCl(g)
                     2
                                   2
                    1 vol        1 vol                   2 vol
                  Total volume of hydrogen and chlorine  = 36 cm 3
                         Volume of hydrogen left behind  = 4 cm 3
                                                             3
          So,      Volume of the reaction mixture reacted  = 36 cm  – 4 cm 3
                                                             3
                                                       = 32 cm
          Hydrogen and chlorine react in the ratio of 1 : 1. So,
              Volume of hydrogen used up in the reaction  =   32 cm 3   = 16 cm 3
                                                           2

               Volume of chlorine used up in the reaction  =  32 cm 3   = 16 cm 3
                                                           2
          Therefore,
          Total volume of hydrogen present initially in the mixture
                                                                    3
                                                             3
                                                       = 16 cm  + 4 cm  = 20 cm 3
          Volume of chlorine present initially in the mixture
                                                       = 16 cm 3
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