Homework Problem #5(20 points)
Due November 3, 2010
The van der Waals fluid model allows the vapor pressure to be calculated as
a function of temperature. Consider a system composed of xenon atoms. Calculate
the vapor pressure at T=280, 2
Quiz 2G 09347
1. Write the expression (formula) for Potential energy V of the electron in hydrogen atom
2. Write the Schrodinger equation that describes the hydrogen atom electronic states:
3. Define Atomic orbitals?
4. What is the advantage of
Advanced PChem 09-347
Quiz 1 Pass/Fail
1. What is the energy of one photon of frequency ?
2. What is the relationship between h and ?
3. What is the de Broglie wavelength for a particle of mass m?
4. Write an expression for kinetic en
Advanced PChem 09-347 Quiz 1G Concepts of Quantum Mechanics.
18 points total
1. For a 1D problem of particle in the square well the Hamilton operator is the eigenvalues are E
2 d 2
V ( x) ;
2m dx 2
; and the wave functions are n ( x )
09-347 F2014 Exam 2
There are 4 problems in this exam. Please show your work and each logical step. Do not forget the units and
correct unit conversion. The list of useful formulas is attached but you do not necessarily need them! They are
Advanced PChem 09-347 Quiz 2PF Concepts of Quantum Mechanics.
Please be brief in your answers and express concepts via algebraic expressions where possible.
1. How does motion and whereabouts of a particle are described in quantum mechanics
2. The Schrodi
1. Independent energetic degrees of freedom of a general molecule are translational, rotational, vibrational,
2. In the three dimensional space a single molecule has
a) 3 independent translational degrees of freedom (along x, y and z direction
Advanced PChem 09-347 Quiz 1 Pass/Fail Prep Intro to Concepts of Quantum Mechanics.
Plank introduced the relationship between energy of electro-magnetic radiation and frequency, what is it?
What is the energy of one photon?
Related to energy and
T f Ti
Review of the old concepts and definitions:
I4T Helmholtz,free,energy,in,thermodynamics, is, A = U TS
Concepts related to phase transitions. Study List
The List of concepts for the Quiz on Chemical Kinetics.
d [ A]
= k f [ A] + k r [ B ]
d [ A]
= k f [ A]
09-347 Quiz 2PF Multielectron atom
1. The Hamilton operator for a multi-electron atom with n electrons (N stands for nucleus):
= + + +
The sum consists of the sums over the kinetic energy
09347 HW2 Problem 3
This problem follows this week recitation.
The formula of a symmetric cyanide die is given by the formula:
The number of pi-electron pair is given by k+3.
a) For k equal 0,1 and 2 calculate the excitation energy from HOMO to LUMO orbit
It 8 (t>t)
'J g 'cfw_ (' cfw_.? (
7 f )(x- '-1 [;.
D W!J .f-t
cP rA T + V f
1-1 -;: _
.o Llr J
Due December 1, 2008
Many chemical reactions in industrial practice are accelerated by
catalysts. We considered the thermal decomposition of acetaldehyde in
class. Acetaldehyde can be decomposed to methane and carbon monoxide
Homework Exercise #6(20 points)
Due November 8, 2010
The Flory-Huggins theory of mixtures allows a description of the thermodynamics of
Consider a two component mixture with the molar volumes given by:
v1 = 50 x10 m3 and v2 =
Due September 20, 2010
Diatomic molecules can be modeled as rigid rotors for purposes of
calculating the rotational contribution to the heat capacity. Consider the
molecule, HCl, which is characterized by a rotational temperat
Homework Problem #3(2010)
Due October 6, 2010
An Argon ion laser produces several colors in the range from green(514,5 nm) to
purple(457.9 nm). An energy level diagram for these transitions was distributed in class.
All the term symbols c
Advanced Physical Chemistry
Due December 1, 2010
One area of current interest in chemical engineering is the description
of solid particles suspended in the gas phase. Consider a dust particle of
radius R = 10 6 m . Suppose th
Homework #4 (2010)
Due October 20, 2010
The energy of a diatomic molecule depends on the electronic state, the vibrational
state and the rotational state. Consider the iodine molecule. The energy can be expressed
E ( v, J ) = Te + Gv
Equations of State
09-347 Problem 1(2009)
The volume of a dilute gas depends on the temperature, T, pressure, P,
and the number of moles of substance, n. The molar volume can be
V # V / n # V !T , P "
The actual functional form
Due November 14, 2012
The original measurements of osmotic pressure in the 19th century
were carried out on salt solutions. Calculate the osmotic pressure of a 0.1
molal NaCl solution at standard temperature(298.15 K).