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The Bohr Model In the Bohr model of the hydrogen atom (see
Chapter 20, Problem 83GP(choose chapter or problem)
Problem 83GP
The Bohr Model In the Bohr model of the hydrogen atom (see Problem 28) what is the smallest amount of work that must be done on the electron to move it from its circular orbit, with a radius of 0.529 × 10−10 m, to an infinite distance from the proton? This value is referred to as the ionization energy of hydrogen.
Questions & Answers
QUESTION:
Problem 83GP
The Bohr Model In the Bohr model of the hydrogen atom (see Problem 28) what is the smallest amount of work that must be done on the electron to move it from its circular orbit, with a radius of 0.529 × 10−10 m, to an infinite distance from the proton? This value is referred to as the ionization energy of hydrogen.
ANSWER:
Step 1 of 2
Here, we have to calculate the work done required to take the electron to infinity from its radius given by Bohr model.
The radius is,
.
The electrostatic potential energy at the given radius of the electron is defined as the work required for the electron, to bring it from infinity to the radius “r”.
Obviously the electrostatic potential energy will be negative as we do negative work to bring it from infinity. The proton and electron attract each other and to take the electron back to infinity requires positive work.