The most probable configuration is characterized by a parameter we know as the
Chapter 16, Problem 16.15(choose chapter or problem)
The most probable configuration is characterized by a parameter we know as the temperature. The temperatures of the system specified in 16.13 and 16.14 must be such as to give a mean value of for the energy of each molecule and a total energy N for the system. (a) Show that the temperature can be obtained by plotting pj against j, where pj is the (most probable) fraction of molecules in the state with energy j. Apply the procedure to the system in 16.14. What is the temperature of the system when corresponds to 50 cm1? (b) Choose configurations other than the most probable, and show that the same procedure gives a worse straight line, indicating that a temperature is not well-defined for them.
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