The ionization energy is the energy needed to remove an electron from an atom. In the Bohr model of the hydrogen atom, this means exciting the electron to the n =$\infty$ state. What is the ionization energy in kJ/mol, for hydrogen atoms initially in the n = 2 energy level?
A) 290 kJ/mol
B) 328 kJ/mol
C) 656 kJ/mol
D) 983 kJ/mol
E) 1311 kJ/mol

Question

Quizplus · Accepted Answer

The ionization energy of the hydrogen atom can be calculated using the following equation:

Ionization energy = (-Rh) * (1/n^2_final - 1/n^2_initial)

Where Rh is the Rydberg constant (2.18 x 10^-18 J), n_final is the final energy level (infinity for ionization), and n_initial is the initial energy level (2 in this case).

Plugging in the values, we get:

Ionization energy = (-2.18 x 10^-18 J) * (1/∞ - 1/2^2)
Ionization energy = 328 kJ/mol

Therefore, the best choice is B.

The Ionization Energy Is the Energy Needed to Remove an Electron