What does it mean to say that the energy of the electrons in an atom is quantized?
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Chemistry 2e · 6.2 The Bohr Model
The Bohr Model: practice problems
7 problems from the book, with its answers. Check your working, or have any of them explained to you on the whiteboard.
Exercises 19
The electron volt (eV) is a convenient unit of energy for expressing atomic-scale energies. It is the amount of energy that an electron gains when subjected to a potential of 1 volt; 1 eV = 1.602 10–19 J. Using the Bohr model, determine the energy, in electron volts, of the photon produced when an electron in a hydrogen atom moves from the orbit with n = 5 to the orbit with n = 2. Show your calculations.
Exercises 21
Using the Bohr model, determine the lowest possible energy for the electron in the He⁺ ion.
Exercises 23
Using the Bohr model, determine the energy of an electron with n = 8 in a hydrogen atom.
Exercises 25
What is the radius, in angstroms, of the orbital of an electron with n = 8 in a hydrogen atom?
Exercises 27
Using the Bohr model, determine the energy in joules of the photon produced when an electron in a Li²⁺ ion moves from the orbit with n = 2 to the orbit with n = 1.
Exercises 29
How are the Bohr model and the Rutherford model of the atom similar? How are they different?
Key terms · 4
- Bohr’s model of the hydrogen atom
- structural model in which an electron moves around the nucleus only in circular orbits, each with a specific allowed radius
- excited state
- state having an energy greater than the ground-state energy
- ground state
- state in which the electrons in an atom, ion, or molecule have the lowest energy possible
- quantum number
- number having only specific allowed values and used to characterize the arrangement of electrons in an atom
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