Chemistry Department

Fall 2000

Syllabus for CHEM-382 Physical Chemistry I

Four hours credit:

Three 50 minute lecture - discussion periods and one three hour laboratory period each week.

Instructor: Prof. Sondra Dittmer

Office Phone: 928-5477

Office: Reed 210

E-mail: dittmer@olivet.edu

Textbook: Physical Chemistry (6th ed.) By P.W. Atkins. W.H. Freeman Company

References: HTTP://WWW.WHFREEMAN.COM/PCHEM/INDEX.HTM

Physical Chemistry is a subject that discovers and applies basic physical principles to the various areas of chemistry. The students in Physical Chemistry I class should demonstrate knowledge and understanding at an advanced level in the following areas:

1. Knowledge and principles

properties of gases Ch. 1

temperature, pressure

perfect gases

mixtures of gases

imperfect gases

The first law of thermodynamics - concepts Ch. 2

heat, work, energy

expansion work

thermochemistry

internal energy

enthalpy

heat capacity

The first law - machinery Ch. 3

state functions, differentials

temperature dependence of U, H

adiabatic expansion

The second law of thermodynamics - concepts Ch. 4

entropy

natural events

entropy changes

phase transitions

irreversible change

Carnot cycle

refrigeration

Gibbs, Helmholtz functions

maximum work

the third law

The second law - machinery Ch. 5

combining the first and second laws

T, P dependence of G

chemical potential

properties of real gases

open systems

Changes of state - pure materials Ch. 6

phase equilibria

phase diagrams

real systems:

CO2, H2O, C, He

Changes of state - mixtures Ch. 7

partial molar quantities

thermodynamics of mixing

chemical potential

colligative properties

mixtures of volatile liquids

real solutions, activities

Changes of state - the phase rule Ch. 8

the phase rule

one-component systems

two-component systems

three-component systems

Changes of state - chemical reactions Ch. 9

Gibbs function minimum

perfect gas equilibria

equilibrium constants

response of equilibrium to T, P changes

applications

Equilibrium electrochemistry - ions and electrodes Ch. 10

activities of ions in solution

Debye-Huckel theory

electrodes

electrochemical cells

standard electrode potentials

thermodynamic data from EMF's

applications of EMF measurements

2. Development of skills in the process of science.

Problem solving skills to perform numerical calculations and mathematical derivations related to physico-chemical principles

Laboratory skills to design and carry out experiments involving precise physico-chemical measurements

Logical skills to relate factual knowledge to scientific theory

Reading and critical evaluation of scientific literature

3. Understanding the investigative nature of science

Recognizing the importance of experiment in the development of science, especially the generalizations of thermodynamics

Developing theoretical models from mathematics, chemistry, and physics

Exploring relationships between experiment and theory

4. Attitudes about science

Appreciating Nature as God's handiwork

Viewing science as a worthy human endeavor

Applying scientific principles to problems of everyday living

Understanding science as an unfinished enterprise, with much to be discovered

Specific objectives for each learning unit will be given in behavioral terms, and will be evaluated by student performance on problem assignments, unit tests, a final examination, and laboratory reports.

Tests Schedule:

Test 1 The First Law Sept. 18

Test 2 The Second Law Oct. 16

Test 3 Phase Equilibria, Changes of State Nov. 20

FINAL EXAM 10:30-12:20 p.m., Monday Dec. 18

Grading Procedure:

Problems from Text 10%

Laboratory reports 20%

Unit Tests 40%

Final Exam 20%

Term Paper 10%

Each one of these areas will be graded separately and the grades averaged using the above percentages.

Attendance Policy:

A record of attendance in class and laboratory will be kept. Experience indicates that excessive absence has detrimental effect on performance in chemistry classes. It is highly unlikely that a student missing 25% or more of the class sessions could receive a passing grade. It is especially difficult to make up laboratory work that has been missed. Absence from laboratory affects the students with whom you work, also.

Directions for Laboratory Work:

The completed reports are due two weeks after finishing the experiment. I will read the draft version of the first lab report and make comments. You can turn in the final version and the grade will be given to the final version. The rest of the lab report will be graded upon the first version.

Homework:

It is important to complete your homework assignments on you own because they will help you to understand the concepts that seem abstract during lecture, to enhance your problem-solving skills and prepare you for the tests (the problems in each test are similar to those in your homework). homework will be collected for completeness, not correctness. The answers to the problems are reserved in the library. I suggest that you work on the problem on your own first. If you have trouble with any of the problem, come and see me or, check out the answers. If you still don’t understand, come and see me.

Term Paper:

You are required to write a term paper for Physical Chemistry I. It has to be typed, double spaced, at least 8 pages longs (including diagrams, equation derivations). The suggested topics are : 1) reviews of the physical chemistry as a discipline; 2) derivation of certain equation(s), 3) application of thermodynamic laws in industries, social science, astronomy,..... You can choose your own topic. Please let me know before you start. Each person should work on a different topic.

The goal of the paper is to develop good library, literature review and WWW search skills as well as to have an in-depth understanding of a specific topic in physical chemistry. Deadlines

Oct. 5 Final approval of topic after consultation with faculty

Oct. 19 Bibliography due, based on library texts, computer search, WWW sites

Nov. 2 Outline of the paper due

Nov. 23 Final paper due

Dec.11 Oral presentation (15 minutes each)

CHEM 382

Laboratory Schedule Fall 1999

 

Sept. 4 Gas Density and Molecular Weight Hand-out

Sept. 11 Bomb Calorimetry I Exp. 3

Sept. 18 Test #1

Sept. 25 Revival

Sept. 27 Solution Calorimetry Hand-out

Oct. 2 Vapor pressure of a pure liquid Exp. 5

Oct. 9 Fall Break

Oct. 16 Test #2

Oct. 23 Liquid-vapor equilibrium: mixture Exp. 6

Oct. 30 Solid-liquid equilibrium Exp. 7

Nov. 6 Review for Test 3

Nov. 13 Test #3

Nov. 23 Electrochemical cells and the Nernst Equation Labworks

Nov. 30 Entropy and Enthalpy Labworks

Dec. 4 Reviews

Exp. = Physical Chemistry--Methods, Techniques and Experiments by SIME

Labworks = Computer Experiments in Chemistry

You are encouraged to choose your own experiments from the materials mentioned above or other sources. Please let me know in advance so we can get the materials ready.

Lab report should include PURPOSE, THEORY, METHODS, RESULTS (INCLUDING ALL CALCULATIONS, AND LAB NOTES), AND CONCLUSION (WHAT DID YOU LEARN FROM THIS LAB, WHAT SCIENTIFIC PRINCIPLE DID YOU PROOF OR DISPROOF, EVALUATION OF THE EXPERIMENT). Lab report is due ONE week after the experiment is conducted.

CHEM 382

Physical Chemistry I

Fall, 1999

Study Guide, Unit I

The student will:

1. Define the following terms:

Ch. 0 perfect gas

gas constant

real gas

extensive property

intensive property

molar property

energy

kinetic energy

potential energy

Coulomb potential energy

Ch. 1 state

system

equation of state

pressure

limiting law

temperature

kinetic theory

r.m.s. speed

Maxwell distribution

mean free path

compression factor

virial equation of state

van der Waals equation

critical constants

principle of corresponding states

Ch. 2 system

surroundings

heat

work

internal energy

exothermic

endothermic

state function

expansion work

reversible expansion

heat capacity

calorimetry

enthalpy

standard state

standard enthalpy change

enthalpy of phase transition

of solution

of ionization

of dissociation

Hess's law

thermochemical equations

thermodynamic cycle

Born-Haber cycle

lattice enthalpy

standard reaction enthalpies

standard enthalpies of formation

Kirchoff's law

2. State the Zeroth law of thermodynamics

3. State the first law of thermodynamics, verbally and by means of an equation.

4. Derivations, and related mathematical operations:

a. Solve the van der Waals equation for P and for V.

b. Derive the expression for work in the isothermal reversible expansion of an ideal gas.

c. Apply Hess's law to the determinations of standard reaction, enthalpies from tabulated thermochemical data.

d. Using a Born-Haber cycle, estimate lattice enthalpies for ionic compounds.

 

Chem. 382

Phys. Chem. I

Fall 1999

Study Guide, Unit II

The student will:

1. Define the following terms:

Ch. 3 exact differential

Joule experiment

Joule-Thomson experiment

πT

α

κT

μJT

adiabatic process

Ch. 4 spontaneous process

entropy (stat.)

entropy (thermo)

Carnot cycle

Clausius inequality

Nernst heat theorem

efficiency

coefficient of performance

adiabatic demagnetization

Helmholtz function (A)

Gibbs function (G)

maximum work

Ch. 5 fundamental equation

Maxwell relations

Gibbs-Helmholtz equation

chemical potential

fugacity

2. Calculate changes in various thermodynamic properties resulting from adiabatic processes.

3. State the Second law of thermodynamics, verbally and by means of an equation.

4. State the Third law of thermodynamics.

5. List criteria for spontaneous change in terms of entropy, internal energy, enthalpy, and the Gibbs function.

6. Derivations, and related mathematical operations:

    1. Expressing U, internal energy, as a function of temperature and volume, derive the expression
    2. dU = πTdV + CVdT

    3. Express in terms of α and κ
    4. Determine CP - CV for a perfect gas
    5. Derive the relationship between V and T for the reversible adiabatic expansion of a perfect gas.
    6. Describe the thermodynamics of the Carnot cycle, including each step, using a perfect gas as the working fluid.
    7. From the First and Second laws of thermodynamics, derive the fundamental equation.
    8. Beginning with the definition of the Gibbs function, G, derive the Gibbs-Helmholtz equation.
    9. Derive the Maxwell relations

Chem 382

Phys. Chem. I

Fall 1999

Study Guide, Unit III

The student will:

1. Define the following terms:

Ch. 6 phase

phase diagram

phase boundaries

triple point

Clapeyron equation

Clauisius - Clapeyron equation

first order transition

second order transition

Ch. 7 partial molar quantity

Gibbs-Duhem equation

mixing functions

excess functions

ideal solution

ideal dilute solution

Raoult's law

Henry's law

colligative properties

osmosis

azeotropes

real solution

activity

activity coefficient

2. Interpret phase diagrams for one component systems (pure substances).

3. Apply the Clapeyron equation to discussion of phase boundaries.

4. Apply the Clausius-Clapeyron equation to the description of solid/vapor and liquid/vapor equilibria.

5. Compare first order and second order phase transitions with regard to the temperature dependency of V,H, μ, S, and Cp.

6. Interpret phase diagrams for binary systems having at least one volatile component. Identify Raoult's law and Henry's law behavior, and deviations from these laws observed for real solutions.

7. Compare the colligative properties with regard to their characteristics and their applications for study of solutions.

8. Derivations and related mathematical operations.

    1. Beginning with the equation dμ = Vm dp - Sm dT
    2. derive the Clapeyron equation.
    3. Beginning with the Clapeyron equation, use appropriate approximations and derive the
    4. Clausius - Clapeyron equation in integrated form.

    5. Derive the Gibbs - Duhem equation

CHEM 382

Physical Chemistry I

Fall 1999

Study Guide, Unit IV

The student will:

1. Define the following terms:

Ch. 8 phase

phase diagram

component

thermal analysis

azeotropes

partial miscibility

critical temperature

variance

eutectic

reaction quotient

incongruent melting

tie line

lever rule

Ch. 9 reaction Gibbs function

exergonic

endergonic

equilibrium constant

Le Chatelier's principle

autoprotolyses (of water)

buffer

Biological standard state

Ch. 10 mean (ionic) activity coefficient

ionic strength

Debye-Huckel limiting law

half-reaction

electrodes

electrochemical cells

Nernst equation

standard potential

2. Derivations, etc.

Ch. 8 (a) The Gibbs Phase Rule

Ch. 9 (b) Relationships between ΔG and Kp

© Van't Hoff equation

Ch. 10 (a) The relationship between the zero-current cell potential and the reaction Gibbs function.

3. Other activities

Ch. 8 (a) Apply the Gibbs phase rule to phase diagrams of 1, 2, and 3 component systems.

(b) Interpret phase diagrams by identifying points, lines, and areas as to their physical state, composition, and equilibrium conditions.

Ch. 9 (a) Calculate Kp and ΔG, given equilibrium pressure or concentration data.

(b) Treat gaseous equilibria in terms of a dissociation factor, α.

Ch. 10 (a) Obtain ΔG, ΔH, and ΔS data from temperature dependence of cell potentials.