hw04 - PHYS 4050 Assignment 4 Interactions and Implications...

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PHYS 4050 Assignment 4 Interactions and Implications Due 9 October 2015 1. The figure below shows graphs of entropy versus energy for two objects, A and B . Both graphs are on the same scale. The energies of these two objects initially have the values indicated; the objects are then brought into thermal contact with each other. Explain what happens subsequently and why, without using the word “temperature.” 2. The textbook defines a “normal” system as one with ∂S/∂U > 0 and 2 S/∂U 2 < 0. By contrast, a “miserly” system has ∂S/∂U > 0 and 2 S/∂U 2 > 0. Can a “miserly” system ever be in stable thermal equi- librium with another system? (a) Consider first two “miserly” systems ( A and B ) that are initially at the same temperature. Suppose a small amount of energy flows spontaneously from B to A . What happens next? What does this imply about the stability of the combined system? (b) Now suppose that A is “miserly” but B is “normal.” Consider the
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