1) A simple model of the Hydrogen atom, the electron moves in a circular orbit o
ID: 1318713 • Letter: 1
Question
1) A simple model of the Hydrogen atom, the electron moves in a circular orbit of radius r of 0.053 nm around a stationary proton. This is shown in the figure below. a. Find the electric potential that the proton creates at the position of the electron. [5] b. The total energy of the atom. [5] Express your energy in electron volts (eV) c. The ionization energy is the energy that must be put into the atom to remove the electron and place it at rest infinitely far from the proton. Calculate the ionization energy of the hydrogen atom? [5] Express your energy in electron volts (eV)Explanation / Answer
Here ,
a)
potential due to a point charge is given as
V = Kq/d
V = 9*10^9*e/.053*10^-9
V = 27.2 V
b)
Total energy of atom = V*e
Total energy = - 27.2e J
total energy = - 27.2 eV
c)
ionization energy = -(total enegy)
ionization energy = 27.2 eV
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