Thermodynamic Relations
Applications
Lecture 19
R. Edwin Garca
[email protected]
Some Very Useful Relations and Facts:
1
b=
V
V
P
T
1
a=
V
dU = T dS
X
Y
Z
X
S
T
CV = T
P
V dP + N1d1 + . + Nrdr
X
Z Y
Thermodynamic Systems
and Processes
Lecture 6
R. Edwin Garca
[email protected]
Thermodynamic Systems
a system:
surroundings
system
Is a well delineated region of
the Universe
Its boundaries can be
MSE350
Thermodynamics of Materials
February 22, 2008
Name:
First Exam
Instructions: Below you will nd four questions, which are worth a total of 100 points.
Please box your answers, and use the data p
MSE260
Thermodynamics of Materials
March 6, 2009
Name:
First Exam
Instructions: Below you will nd four questions, which are worth a total of 100 points.
Please box your answers, and use the data provi
MAR-DB-EDDE 13:05 13.001
MSE350 Thermodynamics of Materials February 22, 2008
Name:
First Exam
Instructions: Below you will nd four questions, which are worth a total of 100 points.
Please box your an
MSE260
Thermodynamics of Materials
February 24, 2012
Name:
Midterm Exam
Instructions: Below you will nd four questions, which are worth a total of 100 points.
Please box your answers and use the data
MAR-18-2009 08:12
MSE260
Material Engineering
Thermodynamics of Materials
0LUT\0M$
7664941204
March 6, 2009
First Exam
Instructions: Below you will nd four questions, which are worth a total of 100 po
MSE260
Thermodynamics of Materials
February 24, 2010
Name:
Midterm Exam
Instructions: Below you will nd four questions, which are worth a total of 100 points.
Please box your answers, and use the data
MAR-OB-ZOlO 07:41 Material Engineering 7654941204 P.001
MSE260 Thermodynamics of Materials February 24, 2010
Name: 60 !=& )T
Midterm Exam
Instructions: Below you will nd four questions, which are wor
MAR-19-2012 09:41 Material Engineering 7654941204 P.001
MSE260 Thermodynamics of Materials February 24 2012
Name:
Midterm Exam
Instructions: Below you will nd forlr questions, which are worth a total
Chapter 2: The Structure of Thermodynamics
2.1 Types of system
1. Unary: One chemical component. >Multicomponent: More than one chemical component.
2. Homogeneous: Single phase. > Heterogeneous: More
MSE350
Thermodynamics of Materials
May 1st, 2008
Name:
Final Examination
Instructions: Below you will nd seven questions, which are worth a total of 100 points.
Please box your answers, and use the da
MSE 260
Thermodynamics of Materials
May 5th, 2010
Name:
Final Examination
Instructions: Below you will nd four questions, which are worth a total of 100 points.
Please box your answers, and use the da
MSE 260
Thermodynamics of Materials
May 5th, 2009
Name:
Final Examination
Instructions: Below you will nd four questions, which are worth a total of 100 points.
Please box your answers, and use the da
Legendre Transforms
Applications
Lecture 17
R. Edwin Garca
[email protected]
Maxwell Relations: We Already Know Them
F
dF
An Example Application: Piezoelectrics
What is the state function of the mat
Towards the Third Law of
Thermodynamics
Lecture 13
R. Edwin Garca
[email protected]
Generalizations
mechanical
work term
du = T ds +s deT +
N
idni
chemical
contribution
i=1
~ B A ~
+~ d ~ + fdr
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Thermodynamic Systems
a system:
surroundings
system
Is a well delineated region of
the Universe
Its boundaries can be real or
imaginary
The Universe
The system and the
Universe exchanges mass,
energ
Extensive Variables
A variable is extensive when, given two subsystems
placed into contact, the value of the extensive quantity in
the new (composite) system is the sum of the values
Examples include:
Group Webpage
(MSE 260 will be administered through the nanoHUB,
NOT on BlackBoard)
https:/nanohub.org/groups/thermodynamicsofmaterials2015
Adding Yourself to the Class Website
go to:
https:/nanohub
Thermodynamics of
Materials
Lecture 1
R. Edwin Garca
[email protected]
About Edwin Garca
Associate Professor of Materials Engineering
Have been at Purdue for nine and a half years
Focus is on Theo
Concept of Temperature
and Energy Conservation
Lecture 7
R. Edwin Garca
[email protected]
The Notion of Temperature
Oldest (but erroneous) notion of temperature is
attributed to Hippokrates (460-37
The First Law of
Thermodynamics
Lecture 8
R. Edwin Garca
[email protected]
First Law Sign Convention
positive work
(gained by the system)
negative work
(lost by the system)
The First Law of Thermo
Different Types of Work
DQ = 0
Mechanical Work
dU = Q + W
W = V dT
eT
side view
The simplest known model:
= C
top view
Work of Electric Polarization
E
+q
+q
p
-q
-q
+q
+q
p
p
-q
-q
-q
-q
+q
+q
p
+q
+q
The Third Law of
Thermodynamics
Lecture 14
R. Edwin Garca
[email protected]
The Third Law of Thermodynamics
(Also referred to as Nernst Postulate in 1902)
If the entropy of each element in some [per
Final Exam Details!
May 8th, from 8 to 10AM
Location: ME 1061
Enthalpy
Josiah Willard Gibbs
Gibbs free energy
Gibbs entropy
Ergodic hypothesis
Vector calculus
Gibbs-Helmholtz equation
G
Second Law Consequences
Lecture 12
R. Edwin Garca
[email protected]
The law that entropy always increases -the second
law of Thermodynamics- holds, I think, the supreme
position among the laws of Na
The First Law of Thermodynamics
mechanical
work term
dU
Q
du =
=
V
V
N
+s de + idni
T
chemical
contribution
i=1
~ B A ~
+~ d ~ + fdr +H d ~ + ~ d J
E D
polarization and charge
contributions
magnet
MSE260
Thermodynamics of Materials
Due date: April 1st, 2016
March 25, 2016
HW # 7
Total: 100 points
1. (50 points) One anode (material 1) and one cathode (material 2) used in battery applications
are
Thermodynamics of Materials
MSE 260
MSE260
Thermodynamics of Materials
Due April
date:8thApril
Due Date:
, 20166, 2012
April 1st, 2016
March 26, 2012
HW # 6
Tot al: 100 point s
HW #8
100
points
Phase
ME 01. = 2:4. qt: 21; 2
[1 Li wkmm 942 54A 52%;
Tm;&z; i WMWi i 3 (MWW Mf
QM, m%@h_
T a @n Tl 51,
Qi'n: ztl
\il 0; v 9
m. L1,: as, "EV. mrth. 5 ,
du, : w! Jim mg/1* + 9.017. x 5
b. dun/L - Twl zwfzjwf
MSE260
Thermodynamics of Materials
Due date: April 27, 2016
April 20, 2016
HW # 10
Total: 100 points
1. (40 points) Please sketch the Gibbs free energy of mixing as a function of Cu mole
fraction for
MSE 260: Thermodynamics of Materials
Purdue University, Spring 2016
HW#9 (100 points)
March 25
Due Monday, April 18, 2016 in class.
1. (20 points) Consider two material phases at equilibrium. Material