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Course: ME 744, Fall 2008School: Wright State
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#2 ME Assignment 744 Advanced Thermodynamics - Spring 2007 WRIGHT STATE UNIVERSITY Department of Mechanical and Materials Engineering Instructor: Dr. J. Menart Assigned 4-5-07 Due 4-12-07 1. Derive the six Maxwell equations that result from the state function. G = G( T , P , N a , N b ) 2. Derive the form of the Extremum principle for a system held at constant P, T, Na, and Nb. 3. An insulted rigid box is divided...
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ME Assignment 744 Advanced Thermodynamics - Spring 2007
WRIGHT STATE UNIVERSITY Department of Mechanical and Materials Engineering Instructor: Dr. J. Menart Assigned 4-5-07 Due 4-12-07
1. Derive the six Maxwell equations that result from the state function. G = G( T , P , N a , N b ) 2. Derive the form of the Extremum principle for a system held at constant P, T, Na, and Nb. 3. An insulted rigid box is divided into two compartments. I will call the rigid insulated box the system and each of the compartments in the box subsystems. The subsystem on the right hand side of the moving, perfectly conducting piston is subsystem II and the subsystem on the left-hand side of the piston is subsystem I. While the moving piston is a perfect conductor it is a solid and does not let particles pass through it. The two subsystems in general can have different volumes and different numbers of particles A and B. Both particles A and B are present in both subsystems. Determine the necessary conditions equilibrium for in regards to the relationship between properties from subsystem II related to properties from subsystem I. There should be no derivatives in your final answer. Show how you obtained these conditions, do not just give me the final answer. It is fairly obvious what the conditions for equilibrium are. I want you to show me how you obtained them.
I
Piston
II
Insulated Cylinder
4. Prove the validity of the following relationships. Use any relationships given to you in the book or in the lecture notes. T = T vT a. P s c p h = v (1 T T ) P T 5. The two equa...
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