What energy would be needed to remove the electron from the n=4 level of the hydrogen atom?
- −3.49⋅10−17 J
- −1.36⋅10−19 J
- +2.18⋅10−18 J
- +1.36⋅10−19 J
I assume that the way to do this is to start from the Rydberg formula,
E=RZ2(1n2i−1n2f),
set the initial level of the electron as ni=4, and the final level corresponding to removing the electron (ionization) as nf=∞⟹1∞2=0, leading to
E=13.6 ⋅142eV=0.85eV=1.36⋅10−19J.
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