What is the energy (in J atom $\ ^{- 1}$ ) required for the following process?$${Li}^{2 +}(g) \right

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What is the energy (in J atom $\ ^{- 1}$ ) required for the following process?

$${Li}^{2 +}(g) \rightarrow {Li}^{3 +}(g) + e^{-} $$(Take the ionization energy for the H atom in the ground state as $2.18 \times 10^{- 18}{\text{ }J}^{- 1}$ atom $\ ^{- 1}$ )

Accepted Answer

Sol. [Key Concept: Ionization energy $\propto \ Z^{2}$: $E = E_{H} \cdot \ Z^{2}$ with $Z = 3$ for the Li2+-like ion.]$$E_{{Li}^{2 +}} = E_{H} 	imes z^{2}$$$$\begin{matrix} & \ = 2.18 	imes 10^{- 18} 	imes (3)^{2} \ & \ = 1.962 	imes 10^{- 17}	ext{ }J{atom}^{- 1} \end{matrix}$$

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