Discussion
The ionization energy of hydrogen atom is 13.6 eV; the ionization energy for the ground state of Li2+ is approximately :
Answer: D
The ionization energy of Li2+ is about 122.4 eV.
Li2+ has one electron, so it is hydrogen-like, and the ground-state energy of a hydrogen-like ion scales with the square of the nuclear charge:
\[ \begin{aligned} IE &= 13.6\,Z^{2}\ \text{eV} \\ &= 13.6 \times 3^{2} = 122.4\ \text{eV} \end{aligned} \]
27.2 eV and 40.8 eV scale with Z1 (for Z = 2 and Z = 3), and 54.4 eV is the value for He+ (Z = 2, 13.6 × 4). Only the Z2 scaling with Z = 3 gives the value for lithium.
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