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Review Test

1. How many "laws of thermodynamics" are there?

2. Suppose we have a binary system in which N = 6 , and N up = 3 . What is the multiplicity function?

3. If the multiplicity function is 100 for particular values of N and N up in a binary system, what is the probability of being in any particular state?

4. The multiplicative factor that relates the fundamental and conventional temperatures is known as:

5. The average value of a property A is given by:

6. Take a two state system. If the probability of being in the first state of energy = 0 is 0.75 and the probability of being in the second state of energy = 100 Joules is 0.25, then what is U ?

7. Which of the following correctly relates the entropy to the multiplicity function?

8. Which gives the correct definition of the temperature?

9. What are the SI units of the fundamental entropy?

10. Which law of thermodynamics says that heat is a form of energy?

11. Which of the following is not an intensive variable?

12. The energy U is intended to be a function of how many variables?

13. The expression - σ  + V dp + μ dN is equivalent to which of the following?

14. We can define the Helmholtz free energy by:

15. The expression - is equivalent to which of the following?

16. Which is an expression of τ ?

17. What are the SI units of the chemical potential?

18. Which is a correct formulation of the Gibbs free energy?

19. Which of the following is a Maxwell relation?

20. Let us write an energy identity as dENERGY = A dB + C dD + E dF , where we use the letters A through F to represent dummy variables that may occupy that spot in the expresssion. Which gives a formula for generating Maxwell relations?

21. A state has an energy of 0 and another state has energy = τ . What is the ratio of the probability of finding the system in the first to that of finding it in the second?

22. Calculate the partition function of the same system.

23. What is the absolute probability of finding the system in the state of energy 0?

24. What is the free energy of this system?

25. At low temperatures, what does the Planck distribution function look like?

26. The radiant energy density for blackbody radiation goes as the temperature to what power?

27. The Stefan-Boltzmann law of radiation is expressed in terms of which of the following?

28. Consider a system that has three possible configurations. First, it may be unoccupied entirely. Second, it may have one particle in a state of energy 0. Third, it may have one particle in a state of energy τ . What is the Gibbs sum for this system?

29. What is the average occupancy of the orbital of energy 0?

30. In the classical limit, the Bose-Einstein distribution function becomes what?

31. The Fermi-Dirac distribution function is expressed how?

32. Suppose that the μ = - 2τ . What is the value of λ ?

33. Suppose that μ = - 2τ for some ideal gas. What must be the concentration of the gas be?

34. Which is a correct expression of the free energy of an ideal gas?

35. Which of the following choices gives a reasonable value for the air pressure in an average sized bedroom in SI units?

36. What is the approximate entropy per unit volume of an ideal gas of concentration n Q ?

37. Approximately how many moles of ideal gas are required for it to have an energy of 1 Joule at room temperature?

38. What is the heat capacity at constant volume in SI units for one mole of ideal gas?

39. Suppose a particle is constrained to be in a plane. By equipartition, what is the energy of that particle?

40. Suppose that the Fermi energy of a Fermi gas is approximately 10-20 Joules. What is the energy per mole of the ground state?

41. Einstein condensation is:

42. Which is an expression of the Carnot efficiency of a heat engine?

43. Which of these pathways cannot be completely performer due to entropy considerations?

44. Which of the following relationships is true for the entropy entering and leaving a real heat engine?

45. Which of the following relationships correctly relates the input and output heats in a heat engine?

46. Which device does not consume work to move heat?

47. Which relation holds for refrigerators?

48. Picturing the Carnot cycle, what does (σ H - σ L)τ h represent?

49. In the Carnot cycle, the expansion stage that moves from higher to lower temperature is what kind of process?

50. Which energy is the most appropriate choice to analyze a process at constant pressure and temperature?