A hydrogen-like ion is an ion containing only one electron. The energies of the electron in a hydrogen-like ion are given by E₁₁ = -(2.180 × 10-18 J)z²( 8 3 ) 2² ( 1 ) where n is the principal quantum number, and Z is the atomic number of the element. Calculate the ionization energy, in your answer to 4 significant digits. kJ mol' of the Li²+ ion. Round

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**Hydrogen-like Ions and Ionization Energy Calculation**

A hydrogen-like ion is an ion containing only one electron. The energies of the electron in a hydrogen-like ion are given by the formula:

\[ E_n = - \left( 2.180 \times 10^{-18} \, \text{J} \right) Z^2 \left( \frac{1}{n^2} \right) \]

where \( n \) is the principal quantum number, and \( Z \) is the atomic number of the element. Calculate the ionization energy, in \( \frac{\text{kJ}}{\text{mol}} \), of the \( \text{Li}^{2+} \) ion. Round your answer to 4 significant digits.

**Note:** Reference the Fundamental constants table for additional information.
Transcribed Image Text:**Hydrogen-like Ions and Ionization Energy Calculation** A hydrogen-like ion is an ion containing only one electron. The energies of the electron in a hydrogen-like ion are given by the formula: \[ E_n = - \left( 2.180 \times 10^{-18} \, \text{J} \right) Z^2 \left( \frac{1}{n^2} \right) \] where \( n \) is the principal quantum number, and \( Z \) is the atomic number of the element. Calculate the ionization energy, in \( \frac{\text{kJ}}{\text{mol}} \), of the \( \text{Li}^{2+} \) ion. Round your answer to 4 significant digits. **Note:** Reference the Fundamental constants table for additional information.
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