ISBN-10: 0306484013

ISBN-13: 9780306484018

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**Extra info for A Guide to Physics Problems - Thermodynamics, Statistical Physics and Quantum Me**

**Sample text**

Find the ratio (the gas may be considered ideal). 31). and are adiabatic compression and expansion, respectively; and are constant-volume processes. 32 and atm. 32). Assume that the heat capacities of the gas and are constant. 33). Assume and are constant. 34 shows container A of variable volume V controlled by a frictionless piston, immersed in a bath at temperature This container is connected by a pipe with a porous plug to another container, B, of fixed volume Container A is initially occupied by an ideal gas at pressure P while container B is initially evacuated.

26 Isochoric Cooling and Isobaric Expansion (Moscow Phys-Tech) An ideal gas of total mass and molecular weight is isochorically (at constant volume) cooled to a pressure times smaller than the initial pressure The gas is then expanded at constant pressure so that in the final state the temperature coincides with the initial temperature Calculate the work done by the gas. 27 Venting (Moscow Phys-Tech) A thermally insulated chamber is pumped down to a very low pressure. At some point, the chamber is vented so that it is filled with air up to atmospheric pressure, whereupon the valve is closed.

The ambient pressure is the temperature is and the surface tension coefficient is a) Is this system in stable equilibrium? What is the final state? 63. 5 Å at T = 0. 65 Two-Dimensional Fermi Gas (MIT, Wisconson-Madison) Consider a noninteracting nonrelativistic gas of N spin-1/2 fermions at T = 0 in a box of area A. a) Find the Fermi energy. b) Show that the total energy is given by c) Qualitatively discuss the behavior of the heat capacity of this system at low temperatures. 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.

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