A neutral lithium atom has three electrons. As you will discover in Chapter
\(42,\) two of these electrons form an "inner core," but the third-the valence
electron - orbits at much larger radius. From the valence electron's
perspective, it is orbiting a spherical ball of charge having net charge \(+1
e\) (i.e., the three protons in the nucleus and the two inner-core electrons).
The energy required to ionize a lithium atom is 5.14 eV. According to
Rutherford's nuclear model of the atom, what are the orbital radius and speed
of the valence electron? Hint: Consider the energy needed to remove the
electron and the force needed to give the electron a circular orbit.