Solution to Homework 3
3.1 (a) True Please see the Equation (3.15) on Page 84 in the Levine's book. (b) True Please see the Equation (3.15) on Page 84 in the Levine's book. (c) True A Carnot cycle is defined as a reversible cycle. (d) False Work is not a
CHEM131 Homework n2 1. Levine 2.1 a. The kinetic energy of a system of several particles equals the sum of the kinetic energies of the individual particles. True
b. The potential energy of a system of interacting particles equals the sum of the potential
CHEM 131
F. Paesani
Fall 2012
Homework No. 4 on Chapter 4
Due in class Friday, October 26
Note: As I mentioned in the previous assignments, the true and false" Levine
problems are very instructive. While the solution manual has the quick answers, I
urg
1—2. Radiation in the infrared region is often expressed in terms of wave numbers. 17' = If). A.
typical value of it in this region is 103 crn‘h Calculate the values of u, it, and E for radiation
1tlvith {I = It]: our1 and compare your results with those
CHEM 131
F. Paesani
Fall 2012
Homework No. 1 on Chapter 1
Due in class Friday, October 5
NOTE: I WILL ASSUME COMPLETE FAMILIARITY WITH THE MATERIAL OF
CHAPTER 1. I WOULD SUGGEST THAT YOU DO AS MANY PROBLEMS IN
THIS CHAPTER AS YOU CAN IN ADDITION TO THIS A
CHEM 131
F. Paesani Homework No. 1 on Chapter 1 Due in class Wednesday, January 12 NOTE: I WILL ASSUME COMPLETE FAMILIARITY WITH THE MATERIAL OF CHAPTER 1. I WOULD SUGGEST THAT YOU DO AS MANY PROBLEMS IN THIS CHAPTER AS YOU CAN IN ADDITION TO THIS ASSIGNM
CHEM 131 - PHYSICAL CHEMISTRY - FALL 2012
Thermodynamics, chemical equilibrium, phase equilibrium, chemistry of solutions
Prerequisites: Chem 6C, Math 20AB and Math 20C or 21C and Phys 2AB, or consent of instructor.
INSTRUCTOR: Francesco Paesani
3210 Urey
Chem 127 Fall 2015: Homework 6
Prof. Joel Yuen-Zhou
November 11, 2015
(Due on Friday, November 13 by 5 PM together with HW5 at Urey Hall
3254; please staple them together)
1
Engel and Reid 5.25
2
Engel and Reid 5.26
3
Engel and Reid 5.28
4
Engel and Reid
J—IIJ. Prove that if 1M1} is a solution to the Schrodinger equation1 then any constant limes 1Hx}
is also a solution.
If we] is a solution of the Schrodinger oqua1ion, then HIMII = Ewtx}. The Hamiltonian
opt-.rator1 H, is a linear operator, so ift‘ is a c
3—24. Show lhat III'H: 5c: of hm: liuns
ma}: {Era-“19"” u {a a 2:
is unhunun'nal {Problcm 3—21}.
Ifmgén.
11 1 2: - I
= _ f E—Fﬂlﬂemﬁl
D 23 U
1 EN
= _ f e: In —nr]I.'i mi.
211' n
= 1 fem—mall"
2hr -— mJa'rr U
= 2—“: _1m}i:r [gin—Mm _ I]
=1]
since elm—“'3
2—6. in all the differential equations that we have discussed so far, the 1iialues of the exponents e:
that we have found have been either real or purely.r imaginanr. Let us consider a case in which or
turns out to he eomplex. Consider the equation
6'2? d
CHEM 131
F. Paesani
Fall 2013
Homework No. 1
Due in class Tuesday, October 1
Summary of mathematical tools useful in Physical Chemistry
1.
Determine whether or not dz = xy dx + xy dy is exact by integrating it around
the closed curve formed by the paths y
CHEM 131 - PHYSICAL CHEMISTRY - FALL 2013
Thermodynamics, chemical equilibrium, phase equilibrium, chemistry of solutions
PREREQUISITES: Chem 6C, Math 20AB and Math 20C or 21C and Phys 2AB.
INSTRUCTOR: Francesco Paesani
Urey Hall 3210, (858) 822-3383
Mail
5-11. [11 the infrared :pwlmm of Hm], that is an inltlw: lint al 1309 till—1. Cakulmt ﬂu: farce
mutant of H1211 and the nfvibratim {if HEW.
Equaliun 5.39 can bi: mmngcd In giw:
1‘ = {31" film}: in
This remand mass for Hm] is
_ {1.008 mm]: “26.9 mm)
= Lili
Chem 127 Fall 2015: Homework 9
Prof. Joel Yuen-Zhou
November 24, 2015
(Due on Monday, November 30 by 6:35 PM in lecture, together with Homework 8. Please staple them together. Notice change of location.)
1
Engel and Reid 9.7
2
Engel and Reid 9.9
Assume Ra
Chem 127 Fall 2015: Homework 5
Prof. Joel Yuen-Zhou
November 11, 2015
Due Friday, November 13 by 5 PM at Urey Hall 3254.
(Homework 6 will be posted on Wednesday, November 4 and also due on
Friday, November 13 by 5 PM; please staple them together)
1
Proof
Chem 127 Fall 2015: Homework 8
Prof. Joel Yuen-Zhou
November 18, 2015
(Due on Monday, November 30 by 6:35 PM in lecture. Notice change of
location.)
1
Engel and Reid 8.2
2
Engel and Reid 8.4
3
Engel and Reid 8.8
4
Engel and Reid 8.9
5
Engel and Reid 8.24
Chem 127 Fall 2015: Homework 7
Prof. Joel Yuen-Zhou
November 10, 2015
(Due on Friday, November 20 by 5 PM together with HW5 at Urey Hall
3254; please staple them together)
1
Engel and Reid 6.2
2
Engel and Reid 6.3
3
Engel and Reid 6.4
4
Engel and Reid 6.5
Chem. 130 Some Practice Questions for Midterm
(Note: These problems are not meant to be exhaustive. You are also responsible for assigned homework problems and lecture
materials)
1. Calculate the de-Broglie wavelength of an electron traveling at 1% the sp
Physical Chemistry: CHEM 130
Lecture: M, W, F 8:00-8:50 am; York 2622
Instructor: Amit Sinha
Office: 3020-A, Urey Hall Addition
Office Hours: Tue and Thurs. 11:30-1:00 and by appointment
Phone: 534-5593
E-mail: asinha@ucsd.edu
Course TA: Marc Riera-Riamba
Chem 127 Fall 2015: Homework 2
Prof. Joel Yuen-Zhou
Due Wednesday October 14 by 6:35 PM in lecture
1
Van der Waals gas
The van der Waals equation is one of the rst attempts to model real gases beyond the ideal gas. It reads,
RT
a
PvdW =
V b V2
(1)
wher
Chem 127 Fall 2015: Homework 3
Prof. Joel Yuen-Zhou
Due Friday October 23 by 5 PM at Urey Hall 3254.
To solve this problem set, I recommend using:
-Lecture slides.
-Formula cheat sheet.
-Handout on Essentials of multivariable calculus.
1
and
This problem
Chem 127 Fall 2015: Homework 4
Prof. Joel Yuen-Zhou
Due Friday October 30 by 5 PM at Urey Hall 3254.
1
Engel and Reid 3.8
2
Engel and Reid 4.22
3
Engel and Reid 4.27
4
Engel and Reid 5.3
5
Engel and Reid 5.7
6
Reversible-adiabatic vs isotherm for an ideal
CHEM 131
Thermodynamics, chemical equilibrium, phase equilibrium, chemistry of solutions
1
CHEM 131
INSTRUCTOR: Francesco Paesani
3210 Urey Hall, (858) 822-3383
Mail Code 0314
fpaesani@ucsd.edu
Office Hours:
About lectures: Wednesday 1:30p - 3:30p and by
CHEM 131
K. Lindenberg Solutions to Homework No. 2 Posted Monday October 15 Fall 2007
These solutions to Homework No. 2 were written partly by Dario and partly by Jim. Note: they chose how to divide up the task, so the solutions are not in the order
Chemistry 131, Fall 2007 Solutions to Homework No. 3
Problem 1.
The latter expression is equal to H - T S only if T is constant (Levine eq. 4.64).
(c) True. Follows from the definitions of enthalpy, H U + P V (Levine eq. 2.45), Gibbs energy, G H
Chemistry 131, Fall 2007 Solutions to Homework No. 4
Problem 1.
See Levine, problem 4.39.
(b) True. At constant pressure, H = U +P V . Since the reaction halves the number of moles of the gas, the volume of the system decreases and the term P V must