MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 12 Solutions
1. For a regular solution, it is known for a two component system, that:
Gmix = ao X 1 X 2 + RT ( X 1 ln X 1 + X 2 ln X 2 ) .
C
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Extra Credit 1
Using the computers in MEC 408 (or your own software package of Mathematica), use
Mathematica to:
1. Work through the Tutorial in Mathema
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Extra Credit 4
In class, I handed out Chapter 0 of A Mathematica Companion for Differential
Equations. Using the computers in MEC 408 (or your own softw
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 9
1. Given the partition function of a monatomic gas equation:
2 kT
=V
m
use the partition function and your knowledge of statistical the
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 10 Solutions
1. We derived Einsteins famous crystal model in class. Repeat the exercise explaining all
assumptions and steps.
1 of 8
MSE 308
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 10
1. We derived Einsteins famous crystal model in class. Repeat the exercise explaining all
assumptions and steps.
2. For each Einstein tem
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 11 Solutions
1. In class, you were given:
J
Fmix = cX 1 X 2
.
mole
a. Find F1 and F2 .
b. Check your answers by substituting them into th
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 11
1. In class, you were given:
J
Fmix = cX 1 X 2
.
mole
a. Find F1 and F2 .
b. Check your answers by substituting them into the relation
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 12
1. For a regular solution, it is known for a two component system, that:
Gmix = ao X 1 X 2 + RT ( X 1 ln X 1 + X 2 ln X 2 ) (J/mole).
Con
Boise State University
Department of Materials Science and Engineering
Spring 2005
Prof. Knowlton
MSE 308: Thermodynamics of Materials
- Course Syllabus and Objectives Instructor: Bill Knowlton, 202M MEC, 426-5705 (emergency only), [email protected]
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 1 Solutions
1. In sections1.3, Gaskell states the final volume, V3, is independent of the order in which
the steps to attain V3 are taken. E
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 1
1. In sections1.3, Gaskell states the final volume, V3, is independent of the order in which
the steps to attain V3 are taken. Explain why
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 2 Solutions
1. Prove that the inexact differential, d w is equal to mechanical work, pdV:
i.e, d w = pdV
when the change in all other work i
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 2
1. Prove that the inexact differential, d w is equal to mechanical work, pdV:
i.e, d w = pdV
when the change in all other work is constant
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 9 Solutions
1. Given the partition function of a monatomic gas equation:
2 kT
=V
m
use the partition function and your knowledge of stati
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 8
Problems in Gaskell:
Chapter 6: 6.3-6.4
Chapter 7: 7.1, 7.2, 7.4, 7.5, 7.7
1. Determine if the problem below is correct by providing your
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Extra Credit 5
In class, I handed out Chapter 0 of A Mathematica Companion for Differential
Equations. Using the computers in MEC 408 (or your own softw
NAME: _
MSE 308: Thermodynamics of Materials
Department of Materials Science & Engineering
Boise State University
Spring 2005
Practice Midterm Exam 1
March, 2005
Problem
1.
2.
3.
4.
5.
6.
7.
8
Grand
Total:
Total Points
- next page
1
Points Obtained
NAME:
MSE 308: Thermodynamics of Materials
Department of Materials Science & Engineering
Boise State University
Spring 2005
Practice Final Exam 1
May, 2005
Problem
1.
2.
3.
4.
5.
6.
7.
8
Grand
Total:
Total Points
1
Points Obtained
PMPs
1. What are the three req
MSE 308: Thermodynamics of Materials
Department of Materials Science & Engineering
Boise State University
Spring 2005
Practice Final Exam 2
May, 2005
Problem
1.
2.
3.
4.
5.
6.
7.
8
Grand
Total:
Total Points
1
Points Obtained
Binary Equilibrium Phase Diagr
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 3 Solutions
1. The Omega Potential is a Legendre transformation given by:
= U - N
Derive the differential equation, functionality (e.g., =
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 3
1. The Omega Potential is a Legendre transformation given by:
= U - N
Derive the differential equation, functionality (e.g., = (?,?,?), t
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 4
1. Using dS and dV in toolbox 3, derive the following as a function of T and P.
a. dU (we did this one in class)
b. dH
c. dF
You should ob
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 4
1. Using dS and dV in toolbox 3, derive the following as a function of T and P.
a. dU (we did this one in class)
b. dH
c. dF
You should ob
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 5 Solutions
1. Develop a state function for pressure for a system in which changes in Helmholtz free
energy and temperature. Simplify your a
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 5
1. Develop a state function for pressure for a system in which changes in Helmholtz free
energy and temperature. Simplify your answer to r
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 6 Solutions
1. Develop a state function for temperature for a system that varies with Gibbs free energy
and volume. Simplify your answer to
MSE 308
Thermodynamics of Materials
Dept. of Materials Science & Engineering
Spring 2005/Bill Knowlton
Problem Set 6
1. Develop a state function for temperature for a system that varies with Gibbs free energy
and volume. Simplify your answer to receive fu