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 E_{o} = 2.2·10^{-18} J = **13.6
eV**.

The negative sign in the equation for the E_{n} 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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