Question:

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 \(2.18 \times 10^{-18}\) J atom\(^{-1}\)).

Updated On: Apr 10, 2026
  • \(8.72 \times 10^{-18}\)
  • \(1.962 \times 10^{-18}\)
  • \(1.962 \times 10^{-17}\)
  • \(6.54 \times 10^{-17}\)
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The Correct Option is C

Solution and Explanation

Concept: \(Li^{2+}\) is a hydrogen-like ion. Energy of hydrogen-like species: \[ E = 2.18 \times 10^{-18} Z^2 \] where \(Z\) is the atomic number. For lithium: \[ Z = 3 \]
Step 1:Calculate ionization energy} \[ E = 2.18 \times 10^{-18} \times 3^2 \] \[ E = 2.18 \times 10^{-18} \times 9 \] \[ E = 19.62 \times 10^{-18} \] \[ E = 1.962 \times 10^{-17} \] Thus \[ \boxed{1.962 \times 10^{-17}} \]
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