Thermodynamics, Statistical Physics, and Quantum Mechanics

16 PROBLEMS The gas now expands adiabatically to volume What is the final temperature (derive this resultfrom first principles)? ...

THERMODYNAMICS AND STATISTICAL PHYSICS 17 Two such bodies areinitially at temperatures of 100 K and 400 K. A reversibleengine is ...

18 PROBLEMS Calculate the work done on the gas in the compression process assuminginitial volume and atm. b) 4.32 Joule Cycle (S ...

THERMODYNAMICS AND STATISTICAL PHYSICS 19 4.34 Modified Joule–Thomson (Boston) FigureP.4.34 shows container A of variable volume ...

20 PROBLEMS where is the averagenumber ofmoleculesfound in thevolume V. 4.36 Polarization of Ideal Gas (Moscow Phys-Tech) Calcul ...

THERMODYNAMICS AND STATISTICAL PHYSICS 21 4.39 Chemical Potential of Ideal Gas (Stony Brook) Derive the expression for the Gibbs ...

22 PROBLEMS at a temperature show that Using the above, derive the law of Dulong and Petit for the heat capacity of a harmonic c ...

THERMODYNAMICS AND STATISTICAL PHYSICS 23 about its center of mass. The quantizedenergy levels of a diatomic in two dimensions a ...

24 PROBLEMS Calculate Calculate the heat capacity for a system of N molecules. Assume now that the rotational motion of the mole ...

THERMODYNAMICS AND STATISTICAL PHYSICS 25 the second and third links are vertical. Assume that the chain has N links and is in t ...

26 PROBLEMS Write the partition function for the system. Calculate theaverage length as afunction of and the tempera- ture Assum ...

THERMODYNAMICS AND STATISTICAL PHYSICS 27 4.51 Nonideal Gas Expansion (Michigan State) A gas obeys the equation of state where i ...

28 PROBLEMS 4.53 Critical Parameters (Stony Brook) Consider a system described by the Dietrici equation of state where A, B, R a ...

THERMODYNAMICS AND STATISTICAL PHYSICS 29 a) Calculate the free energy Calculate the Gibbs poten- tial G is the Legendre transfo ...

30 PROBLEMS 4.58 Phase Transition (MIT) The curve separating the liquid and gas phases ends in the critical point where Using ar ...

THERMODYNAMICS AND STATISTICAL PHYSICS 31 Hint: K is the boiling temperature of liquid nitrogen at atmospheric pressure.Oxygenbo ...

32 PROBLEMS Quantum Statistics 4.64 Fermi Energy of a 1 D Electron Gas (Wisconsin-Madison) Calculate the Fermi energy for a one- ...

THERMODYNAMICS AND STATISTICAL PHYSICS 33 4.67 Ultrarelativistic Electron Gas (Stony Brook) Derive the relation between pressure ...

34 PROBLEMS 4.70 Bose Condensation Critical Parameters (MIT) Consider an ideal Bose gas of N particles of mass and spin zero in ...

THERMODYNAMICS AND STATISTICAL PHYSICS 35 4.73 Radiation Force (Princeton, Moscow Phys-Tech, MIT) Consider an idealized Sun and ...