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If one of the two electrons of a H2 molecule is removed, we get a hydrogen molecular ion . In the ground state of an , the two protons are separated by roughly 1.5, and the electron is roughly 1 from each proton. Determine the potential energy of the system. Specify your choice of the zero of potential energy.
Asked by Topperlearning User | 22 Apr, 2015, 07:50: AM

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

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

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

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

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

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

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

The potential energy at infinity is zero.

potential energy of the system,

Substituting

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

Answered by | 22 Apr, 2015, 09:50: AM

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