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Solved: A hydrogenlike ion is an ion containing only one
Chapter 8, Problem 57P(choose chapter or problem)
A hydrogenlike ion is an ion containing only one electron. The energies of the electron in a hydrogenlike ion are given by
\(E_{n}=-\left(2.18 \times 10^{-18} \mathrm{~J}\right) Z^{2}\left(\frac{1}{n^{2}}\right)\)
where n is the principal quantum number and Z is the atomic number of the element. Calculate the ionization energy (in kJ/mol) of the \(\mathrm{He}^+\) ion.
Questions & Answers
QUESTION:
A hydrogenlike ion is an ion containing only one electron. The energies of the electron in a hydrogenlike ion are given by
\(E_{n}=-\left(2.18 \times 10^{-18} \mathrm{~J}\right) Z^{2}\left(\frac{1}{n^{2}}\right)\)
where n is the principal quantum number and Z is the atomic number of the element. Calculate the ionization energy (in kJ/mol) of the \(\mathrm{He}^+\) ion.
ANSWER:Step 1 of 2
The energies of the electron in a hydrogen like ion are given by the formula,
Where,
