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Now let's consider that an electron is confined within this diameter of an entire atom rather

than the nucleus. Assuming that the de Broglie wavelength of the electron was equal to your

atomic diameter, 0.17 nm, what would be the kinetic energy of the electron in kJ/mol?

For a sense of scale, consider that the carbon atoms have a diameter of 0.182 nm and the

energy needed to extract an electron from such an atom (the ionization energy) is 11.3

electron volts (eV) or 1090 kJ/mol. For comparison, the ionization energy of the smaller

hydrogen atom is 13.6 eV or 1312 kJ/mol. These energies should be comparable (i.e. a similar

order-of-magnitude) to the energy holding the electron within the atom, which should in turn

be comparable (and a bit larger) than the kinetic energy associated with electron confinement.

Reminder: to specify large values (e.g. a billion) use scientific notation like so: 1e9

Note: required precision is 1%.

Sanity check: the expected answer range is 500 to 15,000.

Fig: 1