Let's calculate the energy corresponding to a given orbit in the hydrogen atom according to the Bohr model. The kinetic energy is
The potential energy from the Coulomb interaction is
The total energy then becomes
Putting in our quantized radii we get
where Eo = 2.2·10-18 J = 13.6 eV.
The negative sign in the equation for the En means that the system has less energy than a free electron and proton or that the electron is bound to the proton, and it takes 13.6 eV of energy to remove the electron from the atom.
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