A Guide to Physics Problems. Thermodynamics, Statistical by Cahn S., Nadgorny B.

By Cahn S., Nadgorny B.

A consultant to Physics difficulties is a two-volume set of difficulties taken from Ph.D. qualifying assessments. half 2 - the spouse to half 1: Mechanics, Relativity, and Electrodynamics (Plenum 1994) - positive factors 182 hard issues of distinctive recommendations, textbook references, transparent illustrations, and an easy-to-use format.

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Hint: Minimize the free energy. Now, instead of neutral particles, consider the creation of electron-positron pairs. 75 D-Dimensional Blackbody Cavity (MIT) Consider a D-dimensional hypercube blackbody cavity. What is the energy density as a function of temperature? It is not necessary to derive the multiplicative constant. 76 Fermi and Bose Gas Pressure (Boston) For a photon gas the entropy is where is the angular frequency of the mode. 1): THERMODYNAMICS AND STATISTICAL PHYSICS 37 a) Show that the isothermal work done by the gas is where is the average number of photons in the mode.

66 Nonrelativistic Electron Gas (Stony Brook, Wisconsin-Madison, Michigan State) a) Derive the relation between pressure and volume of a free nonrelativistic electron gas at zero temperature. b) The formula obtained in (a) is approximately correct for sufficiently low temperatures (the so-called strongly degenerate gas). Discuss the applicability of this formula to common metals. 67 33 Ultrarelativistic Electron Gas (Stony Brook) Derive the relation between pressure and volume of a free ultrarelativistic electron gas at zero temperature.

C) Calculate the internal energy to within an additive constant. d) What is the final temperature when the gas is adiabatically compressed from to final volume e) How much work is done in this compression? 53 Critical Parameters (Stony Brook) Consider a system described by the Dietrici equation of state where A, B, R are constants and P, V, and are the pressure, volume, temperature, and number of moles. , the values of P, V, and at the critical point. 54 Entropy of Mixing (Michigan, MIT) a) A 2-L container is divided in half: One half contains oxygen at 1 atm, the other nitrogen at the same pressure, and both gases may be considered ideal.

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