1
ME 501 Homework #6 Due Friday, December 2, 2011
Prof. Lucht (E-mail address: Lucht@purdue.edu)
1. NML, Problem 6.3.
2
2. NML, Problem 6.8.
3
4
3.
(a) Assuming a Maxwell-Boltzmann velocity distribution, calculate and compare the
average speeds for helium
1
ME 501 Homework #3 Due Friday, October 11, 2013
Prof. Lucht (E-mail address: Lucht@purdue.edu)
1. The system shown below has available energy levels of 0, 2, 4, 6, and 8 units. The
degeneracy of each of the four levels is 3. The thermodynamic assembly h
1
Name_
ME 501
Exam #2
November 15, 2007
Prof. Lucht
ME 255
1. POINT DISTRIBUTION
Problem #1
40 points
_
Problem #2
30 points
_
Problem #3
30 points
_
2. EXAM INSTRUCTIONS
Write your name on each sheet.
This exam is closed book and closed notes.
Major hin
1
Name_
ME 501
Exam #2
2 December 2009
Prof. Lucht
1. POINT DISTRIBUTION
Choose two (2) of problems 1, 2, and 3:
Problem #1
50 points
Problem #2
50 points
Problem #3
50 points
_
_
_
You are required to do two of the problems. Please indicate the problems
1
Name_
ME 501
Exam #2
2 December 2009
Prof. Lucht
1. POINT DISTRIBUTION
Choose two (2) of problems 1, 2, and 3:
Problem #1
50 points
Problem #2
50 points
Problem #3
50 points
_
_
_
You are required to do two of the problems. Please indicate the problems
1
Name_
ME 501
Exam #2
November 16, 2011
Prof. Lucht
ME 256
1. POINT DISTRIBUTION
Problem #1
40 points
_
Problem #2
20 points
_
Problem #3
40 points
_
2. EXAM INSTRUCTIONS
Write your name on each sheet.
This exam is closed book and closed notes.
Several e
Purdue University
ME 501: Statistical Thermodynamics
Lecture 12 and 13: Energy Level
Structure of Diatomic Molecules
Prof. Robert P. Lucht
Room 2204, Mechanical Engineering Building
School of Mechanical Engineering
Purdue University
West Lafayette, Indian
1
Equation Sheets
TdS Equations:
du T ds P dv ,
h u Pv ,
g h Ts,
[dg]T RT [ d (ln f )]T
ds Qrev / T
U Q W
neglecting KE, PE
First Law - Closed System:
First Law - Open System:
neglecting KE, PE
d
Q Wshaft
dt
Specific Heats:
CV
u d
h
s
cP
T
T P
T P
1
Name_
ME 501
Exam #2
November 15, 2007
Prof. Lucht
ME 255
1. POINT DISTRIBUTION
Problem #1
30 points
_
Problem #2
30 points
_
Problem #3
30 points
_
Problem #4
30 points
_
Problem #5
30 points
_
2. EXAM INSTRUCTIONS
You must do four (4) out of the five
1
Name_
ME 501
Exam #2
November 15, 2007
Prof. Lucht
ME 255
1. POINT DISTRIBUTION
Problem #1
30 points
_
Problem #2
30 points
_
Problem #3
30 points
_
Problem #4
30 points
_
Problem #5
30 points
_
2. EXAM INSTRUCTIONS
You must do four (4) out of the five
1
ME 501 Example Problem: Electron Gas in Metals
The temperature of a 1.0 cm3 copper metal crystal is raised from T1 = 400 K to T2 = 500 K.
Calculate the internal energy change of the crystal U 2 U1 due to lattice vibrations
U 2 U1 vib
and due to the free
ME 501: Thermodynamic Properties for Diatomic Molecules Example Problem 2
One kmol of diatomic hydrogen (H2) is contained in a rigid pressure vessel with volume
100 m3 . The initial temperature is T1 200 K . Heat is added to the system until the
temperat
1
Name_
ME 501
Exam #2
November 15, 2007
Prof. Lucht
ME 255
1. POINT DISTRIBUTION
Problem #1
40 points
_
Problem #2
30 points
_
Problem #3
30 points
_
2. EXAM INSTRUCTIONS
Write your name on each sheet.
This exam is closed book and closed notes.
Major hin
1
Name_
ME 501
Exam #1
19 October 2011
Prof. Lucht
1. POINT DISTRIBUTION
Problem #1
Problem #2
Problem #3
40 points
45 points
15 points
_
_
_
2. EXAM INSTRUCTIONS
Write your name on each sheet.
This exam is closed book and closed notes.
Four equation shee
Purdue University
ME 501: Statistical Thermodynamics
Lectures 8 and 9: Energy Level
Structure of Diatomic Molecules
Prof. Robert P. Lucht
Room 2204, Mechanical Engineering Building
School of Mechanical Engineering
Purdue University
West Lafayette, Indiana
1
ME 501 Example Problem: Spectroscopy of Diatomic Molecules
A beam of visible, pulsed laser light passes through a cell filled with H2 (diatomic hydrogen).
Raman scattering is observed at right angles to the direction of propagation of the laser beam.
Th
ME 501 Spectroscopy of Diatomic Molecules Example Problem
A beam of infrared laser light passes through a cell filled with HF (hydrogen fluoride). A series
of P- and R-branch absorption lines are observed when the laser frequency matches a vibrationrotati
1
ME 501 Example Problem: Spectroscopy of Diatomic Molecules
A beam of visible, pulsed laser light passes through a cell filled with H2 (diatomic hydrogen).
Raman scattering is observed at right angles to the direction of propagation of the laser beam.
Th
ME 501 Spectroscopy of Diatomic Molecules Example Problem
A beam of infrared laser light passes through a cell filled with HF (hydrogen fluoride). A series
of P- and R-branch absorption lines are observed when the laser frequency matches a vibrationrotati
Purdue University
ME 501: Statistical Thermodynamics
Lecture 25: The Free Electron Gas in
Metals
Prof. Robert P. Lucht
Room 2204, Mechanical Engineering Building
School of Mechanical Engineering
Purdue University
West Lafayette, Indiana
Lucht@purdue.edu,
1
Equation Sheets TdS Equations:
du = T ds P dv , h = u + Pv , g = h Ts, f = u Ts
[dg]T = RT [ d (ln f )]T
ds = Qrev / T neglecting KE, PE
First Law - Closed System: First Law - Open System:
U = Q W
neglecting KE, PE
Q Wshaft =
d dt
z
CV
u d +
za
CS
u + P
1
Name_
ME 501 Exam #1 October 16, 2007 Prof. Lucht ME 255
1. POINT DISTRIBUTION
Problem #1 Problem #2 Problem #3
30 points 30 points 40 points
_ _ _
2. EXAM INSTRUCTIONS Write your name on each sheet. This exam is closed book and closed notes. Three equa
1
Name_
ME 501
Exam #1
October 16, 2007
Prof. Lucht
ME 255
1. POINT DISTRIBUTION
Problem #1
30 points
_
Problem #2
30 points
_
Problem #3
40 points
_
2. EXAM INSTRUCTIONS
Write your name on each sheet.
This exam is closed book and closed notes.
Three equa
1
Name_
ME 501
Exam #1
23 October 2009
Prof. Lucht
1. POINT DISTRIBUTION
Choose two (2) of problems 1, 2, and 3:
Problem #1
50 points
Problem #2
50 points
Problem #3
50 points
_
_
_
You are required to do two of the problems. Please indicate the problems
ME 501: Thermodynamic Properties for Diatomic Molecules Example Problem 2
One kmol of diatomic hydrogen (H2) is contained in a rigid pressure vessel with volume
100 m3 . The initial temperature is T1 200 K . Heat is added to the system until the
temperat
Purdue University
ME 501: Statistical Thermodynamics
Lecture 23: Laser Diagnostic
Measurement of Gas Phase Properties
in Reacting and Nonreacting Flows
Prof. Robert P. Lucht
Room 2204, Mechanical Engineering Building
School of Mechanical Engineering
Purdu
1
ME 501 Homework #1 Due Friday, September 16, 2011
Prof. Lucht (E-mail address: Lucht@purdue.edu)
Note: A useful table of integrals in posted on the class website.
1. Laurendeau, Problem 3.2, p. 147.
2. A particle of mass m is constrained to move along t
1
Name_
ME 501
Exam #1
18 October 2013
Prof. Lucht
1. POINT DISTRIBUTION
Problem #1
Problem #2
Problem #3
30 points
35 points
35 points
_
_
_
2. EXAM INSTRUCTIONS
Write your name on each sheet.
This exam is closed book and closed notes.
Four equation shee
1
Name_
ME 501
Exam #2
November 15, 2013
Prof. Lucht
ME 256
1. POINT DISTRIBUTION
Problem #1
30 points
_
Problem #2
35 points
_
Problem #3
35 points
_
2. EXAM INSTRUCTIONS
Write your name on each sheet.
This exam is closed book and closed notes.
Several e
1
ME 501 Homework #1 Due Friday, September 13, 2013
Prof. Lucht (E-mail address: Lucht@purdue.edu)
Note: A useful table of integrals in posted on the class website.
1. Laurendeau, Problem 3.2, p. 147.
2
3
4
2. A particle of mass m is constrained to move a