Page 10 - PRE-U STPM CHEMISTRY TERM 1
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Chemistry Term 1  STPM

              The hydrogen line spectrum     3  Using more sophisticated instruments, lines in other parts of the
                                              spectrum were also detected. These lines are in the ultraviolet and
                                              the infrared regions. Part of the line spectrum of hydrogen is shown
                                              below:
                Info Chem
          CHAPTER  Characteristics of the series:                      Wavelength
                                                                        Frequency
         2     •  Each series consists of
                discrete lines with specific
                frequencies.
               •  The interval between the lines
                                                         Ultraviolet          Visible     Infrared
                gets smaller towards the high           (Lyman series)     (Balmer series)  (Paschen series)
                frequency end.
                                             4  Each set of lines is known as a  series and is named after its
               •  Each series ends with a line
                with maximum frequency.
                                              discoverer.
                                                                 Region       Name of series
                                                                Ultraviolet      Lyman
                                                                  Visible        Balmer
                                                                 Infrared       Paschen
                                                                 Infrared        Bracket
                                                                 Infrared        Pfund
                                            5  In each series, the intervals between the lines get smaller towards
                            T
                             ips
                    Exam
                    Exam    Tips              the high frequency (low wavelength) end of the spectrum and
              Converging spectrum.
                                              finally merge to form a continuous spectrum which ends at a
                                              maximum frequency value. Such spectrum is called a converging
                                              spectrum.
                                             6  The line spectra of other elements can also be obtained in the
                                              same way. No two elements have identical line spectra. Hence, it is
                                              possible to identify the element from its line spectrum.
                                             7  Mathematically, the wavelength of the lines in the emission spectrum
                                              of hydrogen can be calculated using the Rydberg’s equation:
                                                                   1  = R   1   –   1  
                            Tips
                    Exam    T ips                                  λ     H  n  2  n  2
                    Exam
                                                                            1     2
                                               where        R   = Rydberg’s constant
                The Rydbergʼs equation can                   H
                                                                           7
                be used to calculate the                       = 1.097  10  m –1
                wavelengths of the lines in
                the hydrogen spectrum only.           n  and n = Integers
                                                             2
                                                       1
                                                      n  can take any values from (n  + 1), (n  + 2) .....∞
                                                       2                        1       1
                                             8  The values of n  and n  for each series are given in the table below:
                                                            1     2
                                                    Series        Region          n              n
                                                                                   1              2
                                                    Lyman        Ultraviolet      1          2, 3, 4 .....∞
                                                   Balmer         Visible         2         3, 4, 5, 6 .....∞
                                                   Paschen        Infrared        3         4, 5, 6, 7 .....∞
                                                   Bracket        Infrared        4         5, 6, 7, 8 .....∞



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         02 Chapter 2.indd   40                                                                         3/26/18   3:14 PM
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