A hydrogen-like ion is an ion containing only one electron. the energies of the electron in a hydrogen-like ion are given by en = - (2.18 * 10-18j) z2 (1/n2) 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 he + ion.

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Chemistry

Aspen

21 November, 07:37

A hydrogen-like ion is an ion containing only one electron. the energies of the electron in a hydrogen-like ion are given by en = - (2.18 * 10-18j) z2 (1/n2) 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 he + ion.

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Steven · Answer 1

For HE+, Z = 2, and you should assume ground state (n=1) for the outermost (only) electron.

E = - 2.81x10^-18 J (4) (1) E = - 8.72x10^-18 J

Now that's for one electron. Only enduring thing is that the reaction is requested in kJ/mol.

E/mol = - 8.72x10^-18J * 6.022x10^23/mol E/mol = 5.251x10^6 J/mol = 5251kJ/mol