Trial Second Hour Exam
1. Define the following Combinatoric Terms:
Macrostate ___________________________________________________________
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Multiplicity _________________________________________________________
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Probability __________________________________________________________
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2. Calculate the multiplicity of an Einstein solid with 25 oscillators and 25 units
of energy.
3. Start with the expression for multiplicity of a Large Einstein solid
(eqtn 2.17) and show that this may be approximated as (eq/N)^N (eqtn 2.21)
4. Problem 2.33
5. Problem 2.37
6. Using the definition of Temperature (eqtn 3.4) find the temperature of both
sections of two Einstein Gas interaction regions in the following state:
Na = 300, Nb = 200, q=100 and qa=1 and where the energy unit epsilon = 0.2 eV.
7. What is the entropy of the above state?
8. Starting with the (eqtn 3.9) the expression for the entropy of a large
Einstein Solid,. Show that the heat capacity at constant volume is Nk
9. Use the Thermodynamic Identity to derive the expression for the heat capacity
(Prob. 3-33).
10. Using (eqtn 3.63) calculate the value of the Chemical Potential for Argon at
room temperature (300K) and atmospheric pressure (1x10^5Pa).
Use V/N = 4.2 x10^-26, (use the values of constants from the inside cover
of the text and the periodic chart p. 403)