The emission spectrum of atomic hydrogen contains a series of lines in the ultraviolet region known as the Lyman series. These lines correspond to electron transitions from higher energy levels (n>1) to the ground state (n=1).
(a)
Calculate the ionization energy of hydrogen in kJ mol−1 using the Rydberg equation. [3 marks]
(b)
Explain why the lines in the Lyman series converge at shorter wavelengths. [1 mark]
(c)
Calculate the wavelength, in nm, of the spectral line corresponding to the transition n=3→n=1. [2 marks]
(d)
Evaluate how the observation of discrete spectral lines and a convergence limit in the Lyman series supports the quantum mechanical model of the atom over the classical (continuous) model. [1 mark]