The energy required to dislodge an electron f | vedclass

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Question

(D) The $H^-$ ion consists of two electrons in the $1s$ orbital. Due to the electron-electron repulsion,the electrons in $H^-$ are less tightly bound

Vedclass · Accepted Answer

$\le 3.4 \ eV$

Vedclass · Answer

(D) The $H^-$ ion consists of two electrons in the $1s$ orbital. Due to the electron-electron repulsion,the electrons in $H^-$ are less tightly bound than the single electron in a neutral $H$ atom. The first ionization energy of $H^-$ is significantly lower than the ionization energy of the $H$ atom $(13.6 \ eV)$. Since the question specifies an 'excited' $H^-$ ion,the electron is in a higher energy level (e.g.,$n=2$ or higher). The energy required to remove an electron from an excited state is even lower than that required for the ground state. Therefore,the energy required is $\le 3.4 \ eV$ (the energy of the $n=2$ state of $H$ is $-3.4 \ eV$,and $H^-$ is even less stable).

The energy required to dislodge an electron from an excited isolated $H^-$ ion,given that the ionization energy of a ground state $H$ atom is $IE_1 = 13.6 \ eV$,is:

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