Page 132 - Chemistry ICSE Class X
P. 132

118                                                                                     ICSE Chemistry – 10
                                                      Thus from the Gay-Lussac’s law, 30 mL of methane will require 60 mL
                                                    of oxygen for complete combustion. So,
                                                    Volume of the unreacted oxygen left  = 80 mL – 60 mL
                                                                                     = 20 mL
                                           EXAMPLE 5.2.  What volume of oxygen would be required to burn 400 mL
                                           of ethyne (acetylene, C H ) completely? Also calculate the volume of carbon
                                                                2
                                                                   2
                                           dioxide formed.
                                           Solution: The burning of C H  in oxygen can be described by the balanced
                                                                     2
                                                                       2
                                           chemical equation.
                                                   2C H (g) +     5O (g)      o          4CO 2   +      2H O
                                                                    2
                                                                                                            2
                                                        2
                                                      2
                                                      2 vol        5 vol                  4 vol
                                                     400 mL         ?                      ?
                                                    From the stoichiometry, 2 units of acetylene requires 5 units of oxygen
                                           for complete combustion and 4 units of CO  are produced. So
                                                                                 2
                                                            Volume of oxygen required =   5   × 400 mL = 1000 mL
                                                                                   2
                                           and    Volume of carbon dioxide produced =   4   × 400 mL = 800 mL
                                                                                   2
                                           EXAMPLE 5.3.  20 mL of each of oxygen and hydrogen and 10 mL of carbon
                                           monoxide are exploded in an enclosure. What will be the volume and
                                           composition of the mixture of gases when it is cooled to room temperature?

                                                    2H (g)   +    O (g)       o        2H O(l)
                                                                                           2
                                                       2
                                                                   2
                                                    2CO(g)   +    O (g)       o        2CO (g)
                                                                   2
                                                                                            2
                                           Solution: The chemical equations describing the reactions and the stoichiometric
                                           volume ratios are:
                                                                2H (g)   +        O (g)    o        2H O(l)
                                                                  2
                                                                                                       2
                                                                                   2
                                                                 2 vol            1 vol               0 vol
                                              Initial volume :   20 mL            20 mL                 0
                                             Volume  consumed:   20 mL            10 mL                 0
                                               Volume left :      0          (20 – 10) mL = 10 mL       0
                                                               2CO(g)    +        O (g)    o       2CO (g)
                                                                                   2
                                                                                                        2
                                              Initial volume:    2 vol            1 vol               2 vol
                                            Volume consumed
                                                 produced:      10 mL             5 mL                10 mL
                                                  So,
                                                         Total oxygen consumed in the reaction =  10 mL + 5 mL  = 15 mL
                                                                        Oxygen left unreacted =  20 mL – 15 mL = 5 mL
                                                  So,   Carbon dioxide produced in the reaction =  10 mL
                                           Therefore, the reaction mixture when cooled to room temperature will contain,
                                                                                  V (oxygen) =  5 mL
                                                                           V (carbon dioxide) =  10 mL

                                           EXAMPLE 5.4. The reaction,
                                                4N O(g)   +   CH (g)   o      CO (g)   +    2H O(g)   +   4N (g)
                                                                                  2
                                                  2
                                                                                                2
                                                                 4
                                                                                                              2
                                           takes place in the gaseous state. If all the volumes are measured at the same
                                           temperature and pressure, calculate the volume of dinitrogen oxide (N O)
                                                                                                                2
                                           required to produce 150 mL of steam. (N = 14, O = 16, C = 12 and H = 1).
                                           Solution: The stoichiometry of the reaction gives
                                                          4N O(g) +  CH (g)  o CO (g) +  2H O(g) +  4N (g)
                                                                                                          2
                                                             2
                                                                        4
                                                                                               2
                                                                                     2
                                               Volume ratio:   4 vol      1 vol      1 vol      2 vol      4 vol
                                                    Volume
                                            required/produced:   ?      —            —        150 mL      —
   127   128   129   130   131   132   133   134   135   136   137