10pts 11.1 A gas mixture of 50% CO, 25% CO2, and 25% H2 (by volume) is fed to a furnace at 900C.
Determine the composition of the equilibrium CO-CO2-H2-H2O gas if the total pressure of the gas in the
furnace is 1 atm.
0
From table A-1 we can get () + 2()

14pts 9.1 One mole of solid Cr2O3 at 2500 K is dissolved in a large volume of a liquid Raoultian solution
of Al2O3 and Cr2O3 in which XCr2O3 = 0.2 and which is also at 2500 K. Calculate the changes in enthalpy an

7.5pts total 5.1 Show that =
Combination of the first and second laws of thermodynamics leads to the derivation of
=
=
+
So = +
1
(1)
Enthalpy can be expressed as H=U+PV
So U=H-PV,
Then =
(2)
Substitute equation (1) by (2), we can get

Thermodynamics and kinetics of materials
U Q pv
F U TS
H U pv
G H TS
du T ds p dv
dG S dT V dP
S
V
P T T p
dG
V
dP T
dG
S
dT p
H
dP
dT eq T V
d ln P
H
RT 2
dT
G
d
T H
dT
T2
G H T S
c p a b c 2
T
T
H c p dT
cp
T dT
S
aA bB cC dD
G

EMA 4102
Quiz 8
Name_
Problem 1)
An iron plate, 4 m x 1 m x 1 cm, has an initial nitrogen concentration of 100 ppm.
The plate is laid flat on the floor of a furnace heated to 1000K. The f

1.
2.
EMA 4102
Quiz 7
Name_
What is the Gibbs free energy of formation for the reaction 4 Cu + O2 = 2 Cu2O
at 800C ? _ From the Elligham Diagram, this appears to approximately -49
kcal per mol of

Darken s Diffusion
Experiment
Initial Condition
Darken s Diffusion
Experiment
Darken s Diffusion
Experiment
Expected Result (Fick s Law)
JC = !D"cC
Darken s Diffusion
Experiment
Experimental Result
Darken s Diffusion
Experiment
Experimental Result
Darken

Ellingham
Diagram
Chapter 13: Reaction involved condensed solution:
M ( s ) + O2 MO2 ( s )
Gibbs free energy change:
G= G MO 2 G M G O 2
At equilibrium:
G= 0, G MO 2 = G M + G O 2
If both M and MO2 are pure solids, and
pure solids are chosen as the sta

Grading Criteria:
25% for correct answer
75% for correct process and use of equations
Partial Credit for minor conceptual/calculation mistakes
16pts total 2.1 An ideal gas at 300 K has a volume of 15 liters at a pressure of 15 atm.
Calculate (1) the final

Reminder: iClicker questions are
closed book/ closed notes
The first law of thermodynamics
relates which three quantities ?
A)
B)
C)
D)
E)
U, w, S
U, V, P
w, V, P
U, w, q
S, q, T
For a closed system, the increase in
internal energy is due to the sum of
th

( ) =
0.755 + 19.25
25pts 7.4 The vapor pressures of zinc have been written as
( ) =
15780
15250
1.255 + 21.79
(i)
(ii)
Which of the two equations is for solid zinc?
There are two ways to get the solution.
Since the saturated vapor pressure of Zn(l)

Reminder: iClicker questions are
closed book/ closed notes
The relationship between the internal
energy (U) and the enthalpy (H) is
given by:
A)
B)
C)
D)
E)
H = U + TS
H = U - TS
H = U + PV
H = U - PV
none of the above
The relationship between the interna

Chapter 1: Introduction and Definition of Terms
Thermodynamics is concerned with the behavior of matter (space) called a system
System: A quantity of matter, or a region in space chosen for study.
Surroundings (environment): The mass or region outside th

1.
2.
3.
4.
EMA 4102
Mid Term Exam
Name_Solution Set_
6ptsThe First Law of Thermodynamics relates internal energy (U), work (w),
and heat(q) in terms of changes, or differentials, U, w, and q, respectively.

Department of Materials Science and Engineering, Fall 2014
EMA 4102 Thermodynamics and Kinetics of Materials
Meets Mondays and Wednesdays, 10:30 AM to 11:45 AM, CB1 Room 319
Instructor:
Kevin R. Coffey
[email protected]
Room 115, ENGR1
407 823-2175
Office

1. If the molar specific heat of of a recently discovered element, Knightium, is equal to 3R at
room temperature (298 K) and above, what is the enthalpy of Knightium at 225 C ? Note
that R is equal to 8.31 joules per (degree-mole).
The basic equation we n

Chapter 13: Reaction Equilibrium in systems containing
components in condensed solution:
M ( s ) + O2 MO2 ( s )
Gibbs free energy change: G= G MO2 G M G O2
At equilibrium:
G = 0, G MO2 = G M + GO2
If both M and MO2 are pure solids, and pure solids are c

1. If the molar specific heat of of a recently discovered element, Knightium, is equal to
3R at room temperature (298 K) and above, what is the enthalpy of Knightium at 225
C?
Note that R is equal to 8.31 joules per (degree-mole).
The basic equation we ne

Chapter 6: Heat Capacity, Enthalpy, Entropy, and The Third Law of Thermodynamics
- Notation for specific properties
Specific properties: extensive proper. per unit volume or mass
U used to be the total system internal energy. NO MORE !
U: an extensive pro

Phase Diagrams
Phase Diagrams
Phase Diagrams
Phase Diagrams
Phase Equilibria
at some temperature and pressure
+
A
gliq(X) = XliqA(X) +
(1-X)liqB(X)
+
B
liqB(.7)
liqA(.7)
X = .7
X=1
pure A
X=0
pure B
Phase Equilibria
Solid phase is stable at low temperatur

TimeDomain CVD, Inc.
Diffusion Length and Dimensionless
Numbers
Diffusion Length
In the previous section we exhibited a couple of important
solutions to the diffusion equation. In both solutions, the
distance x was divided by ("scaled by") a particular
co

TimeDomain CVD, Inc.
Introduction to Diffusion: Physics
and Math
Expressions for Flux
Diffusion is the macroscopic result of random thermal
motion on a micoscopic scale. For example, in the diagram
at right, oxygen and nitrogen molecules move in random
di

Chapter 1: Introduction and Definition of Terms
Thermodynamics is concerned with the behavior of matter (space) called a system
System: A quantity of matter, or a region in space chosen for study.
Surroundings (environment): The mass or region outside th

Ellingham Diagrams
J. Soc. Chem. Ind., 63, 125 (1944)
For most of oxidation and sulfidation, in certain range of temperature:
G = A + BT
A equals to the standard enthalpy change: Ho
B equals to the negative of standard entropy change: - So
Go
Ellingham L

Chapter 9: The Behavior of Solutions
PA
PA
Henry s law
Henry s law
XA
XA
Low concentration Medium concentration High concentration
o
i
ai = pi / p
For solutions that follows Raoult s law:
o
pA = pA X A
ai =Xi
1
a
0
XA
o
i
ai = pi / p
For solutions that fo

Chapter 11: Reactions Involving Gases
Reaction equilibrium in a gas mixture and the equilibrium constant
Consider following reaction at constant temp and pressure
A + B = 2C
At any instant, the total Gibbs free energy of the system:
'
G = nA G A + nB G B

1.
2.
3.
4.
5.
EMA 4102
Quiz 3
Name_
If the molar specific heat of of a recently discovered element, Knightium, is
equal to 3R at room temperature (298 K) and above, what is the enthalpy of
Knightium