Chem 453/544 Fall 2003
10/06/03
Exam #1 Review Answer Key
NB: These short answers, especially in cases where an explanation is asked for, are not complete. I
would expect much more analysis and discussion in the actual answers given in a test situation. I
Chem 453/544 Fall 2003
11/12/03
Exam 2 - Solutions
1. (25 points) Consider the Einstein model of a crystal of N atoms, vibrating in 3 dimensions with frequency .
If the zero of energy is taken as the energy of the lowest vibrational state, the canonical p
Chem 453/544 Fall 2003
12/05/03
Assignment #7 - Solutions
1. M&S #10.2 10.4:
10.2: Eulers theorem says that if f ( z1 , z 2 ,., z N ) is homogeneous then
f ( z1 , z 2 ,., z N ) = z1
f
f
f
+ z2
+ . + z N
.
z N
z1
z 2
Prove Eulers theorem by differentiating
Chem 453/544 Fall 2003
10/29/03
Solutions to Assignment #6
1. The molar entropy change accompanying an isothermal, quasi-static expansion of an ideal gas can be
expressed
STIG = S (T ,V2 ) S (T ,V2 ) = R ln(V2 / V1 ) .
(1-1)
(a) Consider the statistical r
Chem 453/544 Fall 2003
10/22/03
Assignment #5 Solutions
aT
dV exact? (Assume that a is a constant and f(T) is independent
V
of V.) If not, suggest a simple modification that would render it exact.
1. Is the differential dx = f (T )dT +
_
The test for exac
Chem 453/544 Fall 2003
10/6/03
Assignment #4 Solutions
1. (a) Calculate values of the translational, rotational, vibrational, and electronic partition functions of
Cl2 at 300, 1000, and 5000 K, assuming a volume of 1 dm3. The first excited electronic stat
Chem 453/544 Fall 2003
9/29/03
Assignment #3 Solutions
0. If you are rusty on series and limits M&S 3-22, C-3, C-4, and C-10 might be helpful, but I wont
collect or grade these exercises.)
2
1
M&S 3-22: Evaluate S = x i + j by summing over j first then o
Chem 453/544 Fall 2003
9/19/03
Solutions to Assignment #2
1. (a) Use the Redlich-Kwong equation of state to calculate the pressure of Xe at temperatures 270,
280, 290, 300, and 325K as a function of density between 0.1c and 2.7c. Plot these results on a
g
Chem 453/544 Fall 2003
9/10/03
Assignment #1 Solutions
1. Thermodynamics is all about energies. The standard unit of energy in chemical problems is kJ/mol (not
kcal/mol !). It is useful to be able to quickly convert this basic unit into other commonly use
Chem 453/544 Fall 2000
11/13/00
Assignment #8 - Solutions
Individual Exercises:
_
1. Consider the G P (T ) and GT ( P) plots shown in M&S Figs. 9.10 and 9.11. What restrictions,
if any, apply to the slopes and curvatures of such plots?
-The slopes on thes
Chem 453/544 Fall 2003
12/15/03
Exam #3
Instructions: There are 6 questions worth a total of 100 points on this exam. Answer all
questions in the exam book provided. Partial credit will only be given if I can understand your
reasoning, so show and explain
Chem 453/544 Fall 2003
11/05/03
Exam 2 / Assignment 7 (revised 11/7)
Due in class, Wed. Nov. 12, 2003, no exceptions!
Instructions: The main difference between this take-home exam and previous problem
assignments is that you are required to work completel
Chem 453/544 Fall 2003
10/08/03
Exam #1 Solutions
1. (10 points) Use the generalized compressibility diagram provided on the last page to estimate over
what range of pressures Ar at room temperature conforms to the ideal gas law to within 20%.
_
Assume th
Chem 453/544 Fall 2003
12/15/03
Exam #3 - Solutions
1. (15 points) Consider the phase diagram of water shown below and the enlarged region shown at the right.
(a) Describe the state of the system at the point marked a.
(b) Describe the changes that occur