Recall that for practical purposes the number of orbits in the Bohr model of the hydrogen atom is limited to 7, however the model can in theory be extend to n = ∞. This idea of orbits beyond 7 is employed in the following question. Also it may be useful to know that 1 ∞2 = 0. The ionization energy associated with an atom equals the amount of energy required to strip a given electron away from its nucleus in the gaseous phase. For purposes of this question/calculation, if we consider the electron of a hydrogen atom in orbit n = 12 to be sufficiently removed from the nucleus, so as to be free of its electrostatic hold (i.e. to be stripped of its nucleus), what is the ionization energy for hydrogen in kJ/mol? Express your answer correctly rounded to 2 decimal places.
Recall that for practical purposes the number of orbits in the Bohr model of the hydrogen atom is limited to 7, however the model can in theory be extend to n = ∞. This idea of orbits beyond 7 is employed in the following question. Also it may be useful to know that
| 1 |
| ∞2 |
= 0.
The ionization energy associated with an atom equals the amount of energy required to strip a given electron away from its nucleus in the gaseous phase. For purposes of this question/calculation, if we consider the electron of a hydrogen atom in orbit n = 12 to be sufficiently removed from the nucleus, so as to be free of its electrostatic hold (i.e. to be stripped of its nucleus), what is the ionization energy for hydrogen in kJ/mol? Express your answer correctly rounded to 2 decimal places.
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