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Electron Configurations · Paper 2 — Free Chemistry SL Practice Questions

1ChallengeSAQ-LElectron arrangement and atomic orbitals7 marksPaper 2~11 min

Data

c=3.00×108 m s−1c = 3.00 \times 10^{8}\,\text{m s}^{-1}; h=6.63×10−34 J sh = 6.63 \times 10^{-34}\,\text{J s}; NA=6.02×1023 mol−1N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}; RH=1.097×107 m−1R_H = 1.097 \times 10^{7}\,\text{m}^{-1}. Formulae: 1λ=RH ⁣(1n12−1n22)\dfrac{1}{\lambda} = R_H\!\left(\dfrac{1}{n_1^2} - \dfrac{1}{n_2^2}\right); E=hνE = h\nu; c=λνc = \lambda\nu.
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>1n > 1) to the ground state (n=1n = 1).
(a)
Calculate the ionization energy of hydrogen in kJ mol−1\text{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=1n = 3 \to 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]
diagram

Solutions

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