Question

22. A neutral hydrogen molecule has two protons and
two electrons. If one of the electrons is removed
we get a hydrogen molecular ion (H2). In the
ground state of the two protons are separated
by roughly 1.5 Å and the electron is roughly 1 Å
from each proton. What is the potential energy of
the system?
(a) - 38.4 eV
(b) - 19.2 eV
(c) - 9.6 eV
(d) zero​

Answer 1

Answer:

B) -19.2 eV

Explanation:

The system of two protons and one electron is represented in the given figure.

Charge on proton 1, q1 = 1.6 ×10 - 19 C

Charge on proton 2, q2 = 1.6 ×10 - 19 C

Charge on electron, q3 = - 1.6 ×10 - 19 C

Distance between protons 1 and 2, d1 = 1.5 ×10 - 10 m

Distance between proton 1 and electron, d2 = 1 ×10 - 10 m

Distance between proton 2 and electron, d3 = 1 × 10 - 10 m

The potential energy at infinity is zero.

Potential energy of the system,

Therefore, the potential energy of the system is - 19.2 eV.

Sorry but I can't attach explanation pics