Chemistry 120B SP11
Problem Set 6 Solutions
Total: 50 points
1. (10 points) See MQS Solutions Manual.
2.
(i) (3 points)
When the membrane is pushed through the solution, the number of microscopic states available
to the ions decreases. This means the entr
Chem 120B
Problem Set 1
Due: January 28, 2011
1. (i) Show that the mean square uctuation in any quantity A can be written in terms of its mean and
mean square values, (A)2 = A2 A 2 . (Here, as usual, the uctuation in A is dened as
A = A A .)
(ii) Generali
Chem120B
Problem Set 6
Due: March 11, 2011
1. Problems 21-10, 21-11, and 21-12, 22-1, and 22-2 in Simon and McQuarries Physical Chemistry.
2. Salt water is plentiful on earth; natural supplies of fresh water, on the other hand, are dwindling while
mankind
Chemistry 120B SP11
Problem Set 1 Solutions
Total: 50 points
1.
(i) (2 points)
(A)2 = (A A )2
= A2 + A
(A)
2
2
=A+A
2
2A A
2
2A A
Recall from lecture that, because averages are not uctuating quantities,
average of a sum is equal to the sum of the averag
Chemistry 120B SP11
Problem Set 11 Solutions
1.
(i) The transition state theory rate constant is
kB T Q E
vib
e
h QA
vib
TST
kAB =
The total vibrational partition function is the product of the qvib s of all the modes. Ignoring quantum
mechanical eects,
KEY
YOUR
N AME
H ERE
April 7, 20L0
Chem 1 208 M idterm # 2
Definitions and Useful Fqrmulas:
InversetemPerature:
k e:1'38x ro-23JfK
P:#'
First l aw o f t hermodYnamics:
+
dE=Td,S-pd'V t
F fiNr,
Entropy a nd t he s econd l aw:
:
l
.g: k enw, s : - keLrr4itn
Chem 107B
Summer 2012
Ames
Problem Set 1 (due Tue Aug 14, 2012).
1. The diagram below shows the Maxwell speed distribution curves for an ideal gas at two different
temperatures (T1 and T2).
(a) Calculate the value of T2.
(b) What is the most probable spee
Chem120B
Problem Set 9
Due: April 8, 2011
1. Problems 23-27, 23-28, and 23-36 in McQuarrie & Simons Physical Chemistry textbook.
2. At xed pressure p, a perfectly ideal solution of two miscible liquids is dened by the familiar dependence of chemical poten
Chemistry 120B SP11
Problem Set 7 Solutions
Total: 50 points
1.
(i) See handout on bspace.
(ii) (0) is the change in free energy associated with moving one solute from octanol to water in the
standard state.
(iii)
dG = SdT + V dp + i i dNi
The Maxwell rel
Chemistry 120B SP11
Problem Set 8 Solutions
Total: 50 points
1. See MQS Solutions Manual.
2.
(i)
P (g)
(0)
(0)
= Keq (g) = exp P (g) R (g)
R (g)
P ( )
(0)
(0)
= Keq ( ) = exp P ( ) R ( )
R ( )
(ii)
R (g)
(0)
(0)
= R = exp R (g) R ( )
R ( )
P (g)
(0)
(0)
=
Chem120B
Problem Set 8
Due: April 1, 2011
1. Problems 26-17 and 26-39 in McQuarrie & Simons Physical Chemistry textbook.
2. In class we have examined separately the implications of standard state chemical potentials for partitioning of a solute between di
Chemistry 120B SP11
Problem Set 9 Solutions
Total: 50 points
1. See MQS Solutions Manual.
2.
(i) Use the ideal gas law to write the mole fraction in terms of partial pressures.
pj =
Nj
kB T
V
p = p1 + p2 =
N1 + N2
kB T
V
Nj
pj
=
= xj
p
N1 + N2
(v)
Equate
Chemistry 107B: Physical Chemistry for the Life Sciences (CRN: 16159)
Summer 2011
Class webpage: https:/smartsite.ucdavis.edu and follow the links to CHE 107B.
Lecturer:
Prof. James B. Ames
Lecture Times:
TWR 10:00 11:40 A.M. at 179 Chemistry
Office Hours
YOUR NAME HERE
May 17, 2008
Chem 120B Final Examination
Denitions and Useful Formulas:
E = T S pV +
i i dNi
A = E TS
Q = q N /N !
qtrans = V /3
= h/ 2mkB T
G = E T S + pV
H = E + pV
1/T = (S/E )V,N
# ways to distribute N indistinguishable objects
among M
Chem120B
Problem Set 11
Due: April 29, 2011
1. Expressed in terms of partition functions, the transition state theory estimate of a rst order rate
constant reads
kB T Q
TST
kAB =
h QA
This expression can be evaluated in detail if the potential energy U is
Chemistry 120B SP11
Problem Set 10 Solutions
Total: 50 points
1.
(i) The Debye screening length is given by
=
4 I
2
j Nj qj /V and q = z/ 4 0 . For 0.1 molar NaCl,
where I is the ionic strength, I=
I=
e
4
2
0.1 NA +
0
= 0.2 NA
e
4
2
0.1 NA
0
e2
4 0
= 2
Chem120B
Problem Set 10
Due: April 22, 2011
1. (i) 0.1 moles of NaCl are dissolved in 1 L of water at room temperature. Compute the Debye screening
length of the solution. Compare your result with the following lengths:
(i)
(ii)
(iii)
1/3
w
1/3
I
e2 /( 40
YOUR NAME HERE
May 11, 2010
Chem 120B Final Examination
Denitions and Useful Formulas:
E = T S pV +
i i dNi
qtrans = V /3
= h/ 2mkB T
A = E TS
G = E T S + pV
# ways to distribute N indistinguishable objects
among M places = M !/[N !(M N )!]
H = E + pV
1/
Chem 107B Practice Final, Page 2 of 7 Name: . .
Problem 1 I
MARK the following statements, a j as TRUE or FALSE. You might nd it
useful to consult the information on page 2 for some of the statements. Only ONE answer
will be graded.
a) For the hydroge
Chem 107B
Summer 2015
Ames
Problem Set 1 (due Tue Aug 11, 2015).
1. The diagram below shows the Maxwell speed distribution curves for an ideal gas at two different
temperatures (T1 and T2).
(a) What is the mean speed ( c ) of the gas at 298.0 K?
(b) Calcu
Print Name
Last. First
Student ID. #
Midterm I
Chemistry iTB
Prof. D. B. lL'ioodin
I CLHSED 300K EXAM No notes. hooks. iPttottes. iPods. PDAs tor similar eieetronie
devices) are allowed. only scientic Caleulators.
I Caleuiators may he used but not shared.
Chem 107B Midterm, Aug 22, 2012
Page 2 of 7 Name: . . .
Problem 1
MARK the following statements, a j as TRUE or FALSE. You might nd it
useful to consult the information on page 7 for some of the statements. Only ONE answer
will be graded (2 pts each).
Print Name
Last1 First
Student LEI. # 6'
Midterm 1!
Chemistry IDTE
Pref. D.B.Geedin
* CLHSEI} HUGH EXAM ND times. hunks, iPhnnes. iPe-tis. F'Dats {er sirnilar eleetmnit:
devices} are allewerlt enly seientifie Calenlaters.
' Calculaters may he used but am
Page 5 of7
.
t~.J.
Name:
Problem 3
A receptor (A) binds to its ligand (B) according to the following equilibrium expression:
kl
A+B(
) AB
k-l
When [B] = 10-3 M and [A] = 10-6 M ([B] [A]), k~ =k1[B] and the pseudo first-order
exchange rate (k~ + k_ 1) was