Atoms more complicated than hydrogen hav...

Atoms more complicated than hydrogen have more than one proton in their nucleus. Let Z stands for the number of protons in a nucleus. Also imagine that an atom loses all but one of its electrons so that it changes into a positively charged ion with just one electron. Bohr.s formula for the energy levels of the hydrogen atom can easily be changed to apply to such ions. It becomes `E_m = (-Z^2 e^4 m_e)/(8 epsi_0^2 h^2 n^2)`, where m= mass of electron , e= change of electron, n = orbit number.
The ionization potential of Het in ground state is

`2427 kJ mol^(-1)`

`5249 kJ mol^(-1)`

`7116 kJ mol^(-1)`

`9811 kJ mol^(-1)`

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The correct Answer is:

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Atoms more complicated than hydrogen have more than one proton in their nucleus. Let Z stands for the number of protons in a nucleus. Also imagine that an atom loses all but one of its electrons so that it changes into a positively charged ion with just one electron. Bohr.s formula for the energy levels of the hydrogen atom can easily be changed to apply to such ions. It becomes E_m = (-Z^2 e^4 m_e)/(8 epsi_0^2 h^2 n^2) , where m= mass of electron , e= change of electron, n = orbit number. The potential energy of electron in the ground state of H^+ ion is

`4.358 xx 10^(-18)` J/atom

`-7.112 xx 10^(-18)` J/atom

`-1.743 xx 10^(-17)` J/atom

`-8.279xx10^(-18)` J/atom

`4.358 xx 1^(-18)` J/atom

`-7.112 xx 1^(-18)` J/atom

`-1.743 xx 1^(-17)` J/atom

`-8.716 xx 1^(-18)` J/atom

`4.358 xx 10^(-18)`

`2.179 xx 10^(-18)`

`3.4864 xx 10^(-17)`

`8.716 xx 10^(-18)`