What is the energy (in J atom ⁻¹ ) required for the following process? Li²⁺(g) Li³⁺(g) + e^- (Take the ionization energy for the H atom in the ground state as 2.18 10⁻¹⁸ J atom ⁻¹ )

Step-by-step solution

The given process Li²⁺(g) Li³⁺(g) + e^- represents the ionization of the hydrogen-like ion Li²⁺ from its ground state. The ionization energy for a hydrogen-like species is given by the formula: IE = IE_ H Z^2 For Li²⁺ , the atomic number Z = 3 . Given the ionization energy of the hydrogen atom IE_ H = 2.18 10⁻¹⁸ J atom ⁻¹ . Substituting the values: IE = 2.18 10⁻¹⁸ (3)^2 IE = 2.18 10⁻¹⁸ 9 IE = 19.62 10⁻¹⁸ J atom ⁻¹ IE = 1.962 10⁻¹⁷ J atom ⁻¹ Answer: 1.962 10⁻¹⁷