Which of the following statements regarding the energy of the stationary state is true in the following one-electron systems ?
- +2.18 10-18 J for second orbit of He+ ion
- +8.72 10-18 J for first orbit of He+ ion
- -1.09 10-18 J for second orbit of H atom.
- -2.18 10-18 J for third orbit of Li2+ ion
Answer
(4) -2.18 10-18 J for third orbit of Li2+ ion
Solution
Energy of the stationary state of a one-electron system (Bohr model):
En = -2.18 10-18 Z2n2 J
the energy of a bound electron is always negative (1) and (2) are wrong.
(3) H atom, n = 2: E2 = -2.18 10-18 14 = -0.545 10-18 J wrong
(4) Li2+, Z = 3, n = 3: E3 = -2.18 10-18 99 = -2.18 10-18 J correct
Answer: (4)