ISBN-10: 0306484013

ISBN-13: 9780306484018

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

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From volume a) Find the work done on the gas and the heat absorbed by the gas. to 16 PROBLEMS b) The gas now expands adiabatically to volume What is the final temperature (derive this result from first principles)? c) Estimate for K for air. 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.

The gases are allowed to mix. Does the temperature of the system change in this process? If so, by how much? Does the entropy change? If so, by how much? How would the result differ if both sides contained oxygen? b) c) Now consider one half of the enclosure filled with diatomic molecules of oxygen isotope and the other half with Will the answer be different from parts (a) and (b)? 55 Leaky Balloon (Moscow Phys-Tech) Sometimes helium gas in a low-temperature physics lab is kept temporarily in a large rubber bag at essentially atmospheric pressure.

Find the entropy change of the gas. Assume that the atmospheric helium concentration is approximately . What is the minimum work needed to collect the helium back into the bag? 56 Osmotic Pressure (MIT) Consider an ideal mixture of monatomic molecules of type A and monatomic molecules of type B in a volume V. THERMODYNAMICS AND STATISTICAL PHYSICS 29 a) Calculate the free energy Calculate the Gibbs potential G is the Legendre transform of F with respect to V. b) If the molecules of type A are called the solvent, and those of type B the solute.

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