Solution Found!
Starting with the result of Problem, find a formula for
Chapter 3, Problem 5P(choose chapter or problem)
Problem 5P
Starting with the result of Problem, find a formula for the temperature of an Einstein solid in the limit q ≪ N. Solve for the energy as a function of temperature to obtain U = Nϵe−ϵ/kT (where ϵ is the size of an energy unit).
Problem:
Use the methods of this section to derive a formula, similar to below equation, for the multiplicity of an Einstein solid in the “low-temperature” limit, q≪ N.
Equation:
Questions & Answers
QUESTION:
Problem 5P
Starting with the result of Problem, find a formula for the temperature of an Einstein solid in the limit q ≪ N. Solve for the energy as a function of temperature to obtain U = Nϵe−ϵ/kT (where ϵ is the size of an energy unit).
Problem:
Use the methods of this section to derive a formula, similar to below equation, for the multiplicity of an Einstein solid in the “low-temperature” limit, q≪ N.
Equation:
ANSWER:
ANSWER:
Step 1:-
The number of microstates is given as,
-----------------------(1)
The total energy of the system is,
----------------------------(2)
--------------------------(3)