CHEM 420 SPRING 2013: homework assignment 7
C. Clementi
CHEM 420 SPRING 2013 : HOMEWORK 7 SOLUTION
Consider the reaction
2A B
at constant pressure, P = 1 atm, and constant temperature, T . Both A and B are ideal gases.
There is initially 1 mole of A and n
CHEM 420 SPRING 2013: homework assignment 1
C. Clementi
CHEM 420 SPRING 2013 : HOMEWORK 1 SOLUTION
Assume that for a particular gaseous system it has been determined that the energy is given by
the following expression
U = PV + constant
where = 2.5. The s
CHEM 420 SPRING 2013: homework assignment 5
C. Clementi
CHEM 420 SPRING 2013 : HOMEWORK 5 SOLUTION
The nucleus of a hydrogen atom, a proton, has a magnetic moment. In a magnetic eld the
proton has two states of different energy: spin up and spin down. Thi
CHEM 420 SPRING 2013: homework assignment 2
C. Clementi
CHEM 420 SPRING 2013 : HOMEWORK 2 SOLUTION
The equation of state for a van der Waals gas is
P+
a
(v b) = RT
v2
(1)
where v = V /n is the volume per mole, and a, b are two constants. The gas undergoes
CHEM 420 Spring 2013
C. Clementi
CHEM 420 SPRING 2013
GRAND CANONICAL ENSEMBLE:
DERIVATION OF THERMODYNAMIC QUANTITIES
For a system of molecules with xed chemical potential, , volume, V , and temperature, T , the
Grand Partition Function, , is:
zN exp( E
CHEM 420 SPRING 2013: homework assignment 9
C. Clementi
CHEM 420 SPRING 2013 : HOMEWORK 9 SOLUTION
Consider a gas of interacting molecules. Assume the gas monoatomic, with no spin.
t Using the cluster expansion approach, determine the corrections to the i
wWf RD
egeaVcfw_Ff f
6hbW5Uhv54eH|hvbhXfSUGh4b1UfVTSah04|9HI
f E RE f cW iE f cfw_EW E T RE f f cW R f cfw_E f f c E f
XYbH5vFvFXe4bgeQPf 4bHHef hFD$vbUfi4hA4V5eUSXYFv4FHE
TWI f cfw_DfW f Rf cW fDI f cW iE cI cfw_E i DfWW T f E R R f TDf D
Y G TWI f R fW
CHEM 420 SPRING 2012: homework assignment 3
C. Clementi
CHEM 420 SPRING 2012 : HOMEWORK 3 SOLUTION
You may know that most of the problems in nding an effective therapeutic strategy against the
HIV virus are related with the ability of the virus of fast mu
CHEM 420 SPRING 2012: homework assignment 4
C. Clementi
CHEM 420 SPRING 2012 : HOMEWORK 4 SOLUTION
Glasses are materials that are disordered (as opposed to crystalline) at low temperature. Here
is a simple model. Consider a system that has a Gaussian dist
CHEM 420 SPRING 2013: homework assignment 6
C. Clementi
CHEM 420 SPRING 2013 : HOMEWORK 6 SOLUTION
By using the same ideas used to obtain the Fermi and Bose statistics, show that if the occupation
number n of an energy level is restricted to the values 0,
CHEM 420 SPRING 2013: homework assignment 8
C. Clementi
CHEM 420 SPRING 2013 : HOMEWORK 8 SOLUTION
Assume that the molecular interactions in an imperfect gas can be modeled by the Sutherland
potential:
for r < r0
V (r ) =
6
r
for r > r0
Consider the gas