PHY 3513 Fall 1999 - Homework 8: Solutions to Callen Problems, Assignments of Thermal Physics

Solutions to selected problems from the textbook 'thermodynamics and an introduction to thermostatistics' by callen. Students are expected to explain their reasoning and show all working. Problems include number 3.9-1, 3.9-3, 4.4-1, and 4.4-6.

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Pre 2010

Uploaded on 09/17/2009

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PHY 3513 Fall 1999 Homework 8
Due at the start of class on Monday, November 8.
Answer all questions. To obtain full credit, you must explain your reasoning and show all
working. Please write neatly and include your name on the front page of your answers.
1. Callen Problem 3.9–1.
2. Callen Problem 3.9–3.
3. Callen Problem 4.4–1.
4. Callen Problem 4.4–6.
Hint: You may neglect the change in the temperature of any vat, but not the change in its
entropy.
You should find that for N→∞it becomes possible to transfer heat to a body and raise
its temperature without increasing its entropy. This result should be contrasted with the
“continuous free expansion” considered in class, where the entropy increases even in the limit
of infinitesimal expansion steps.

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PHY 3513 Fall 1999 – Homework 8

Due at the start of class on Monday, November 8.

Answer all questions. To obtain full credit, you must explain your reasoning and show all working. Please write neatly and include your name on the front page of your answers.

  1. Callen Problem 3.9–1.
  2. Callen Problem 3.9–3.
  3. Callen Problem 4.4–1.
  4. Callen Problem 4.4–6.

Hint: You may neglect the change in the temperature of any vat, but not the change in its entropy.

You should find that for N → ∞ it becomes possible to transfer heat to a body and raise its temperature without increasing its entropy. This result should be contrasted with the “continuous free expansion” considered in class, where the entropy increases even in the limit of infinitesimal expansion steps.