Problem Set 2

# Problem Set 2 - following processes a A thermally insulated container has two compartments of equal size Initially one side is filled with a gas

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MSE 308 Dept. of Materials Science & Engineering Thermodynamics of Materials Spring 2005/Bill Knowlton Problem Set 2 1. Prove that the inexact differential, dw is equal to mechanical work, pdV : i.e, dw pdV = when the change in all other work is constant. Use the fact that dw Fdx = where F is force and x is distance. 2. Prove that mechanical work on a system is negative. Use a drawing of a cylinder and piston to prove this and the concept of state 1 with variable V 1 and P 1 and state 2 with variables V 2 and P 2 . 3. The equation I provided in class that describes the 1 st Law of Thermodynamics has an opposite sign as equation (2.2) provided by Gaskell on page 19. Explain why there is a difference. 4. Contrast the relative magnitudes of the entropy transfer versus entropy production in the
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Unformatted text preview: following processes: a. A thermally insulated container has two compartments of equal size. Initially, one side is filled with a gas and the other is evacuated. A valve is opened and the gas expands to fill both compartments. b. A gas contained in a steel cylinder is slowly expanded to twice its volume. 5. The notion of a “reversible process is a fiction in the real world. What make this concept, which at first glance would appear to be only of academic interest, so useful in applying thermodynamics to real-world “irreversible” process?: 6. Prove that the entropy in the universe is always increasing. Use the method we described in class using the change of entropy for the universe, surroundings and system....
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## This note was uploaded on 10/16/2011 for the course ENGINEERIN MSE 308 taught by Professor Billknowlton during the Fall '10 term at Boise State.

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