According to the Bohr theory, the allowed energy states for the hydrogen atom are given by the relation .
This formula can be readily extended to other hydrogenic (one-electron) systems. The energy of the second level (n = 2) for the doubly ionized lithium atom is
A) -54.4 eV
B) 13.6 eV
C) -30.6 eV
D) -3.4 eV
E) -1.5 eV

Question

According to the Bohr theory, the allowed energy states for the hydrogen atom are given by the relation  .
This formula can be readily extended to other hydrogenic (one-electron) systems. The energy of the second level (n = 2) for the doubly ionized lithium atom is
A) -54.4 eV 
B) 13.6 eV 
C) -30.6 eV 
D) -3.4 eV 
E) -1.5 eV

Quizplus · Accepted Answer

Using the formula given, we can find the energy of the hydrogen atom in the second energy level (n=2) as:
E= (-13.6 eV)/n^2
E= (-13.6 eV)/2^2 = -3.4 eV
For the doubly ionized lithium atom, we need to remove 2 electrons from lithium, which has an atomic number of 3. This leaves us with 1 electron which we can treat like a hydrogen atom. Therefore, the energy of the second level (n=2) for Li2+ is also given by:
E= (-13.6 eV)/2^2 = -3.4 eV
However, we are asked for the energy in eV and the answer choices are all in eV, so we do not need to convert from joules to electron volts. Therefore, the correct answer is C.

According to the Bohr Theory, the Allowed Energy States for the Hydrogen