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Interpreting Boltzmann

Page history last edited by Matt Harrington 9 years, 1 month ago

7.4.P5

 

A. A gas of molecules at room temperature interacts with the potential shown at the right. Each molecule can be in the state E1 or E2. If the gas is at room temperature and E2 - E1 = 50 meV (milli-eV), then at equilibrium, the number of molecules found in the state E2 divided by the number of molecules found in the state E1 will be

  1. About 1
  2. About 1/10
  3. About 10
  4. Much, much larger than 1
  5. Much, much smaller than 1
  6. Cannot be determined from the information given

 

 

B. Sometimes we write the Boltzmann factor as   and sometimes as . Does “E” in those two different forms mean the same thing or something different?

 

  1. They both mean the total energy of the system and you would put in the same number.
  2. They both mean the total energy of the system but you would put in a different number since the units are different.
  3. They both mean the same energy – a part of the total energy that is localized in a single degree of freedom of a single molecule.
  4. They both mean the same energy – a part of the total energy that is localized in a single degree of freedom of a mole of molecules.
  5. They both refer to a part of the total energy that is localized in a single degree of freedom, but the first is for a single molecule, the second for a mole of molecules.
  6. They both refer to a part of the total energy that is localized in a single degree of freedom, but the first is for a mole of molecules, the second for a single molecule.
  7. None of the above.

 

 

Joe Redish 5/21/12 

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