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Calculus and Physics Study Guide for CH 342 - Spring 2002, Assignments of Physical Chemistry

This study guide provides information on how to prepare for the ch 342 course during spring 2002. It covers topics such as gas dynamics, gas transport processes, and empirical and theoretical chemical kinetics. Students are encouraged to work homework problems backward and forward, review similar exercises, and be prepared for short essay questions and numerical calculations. Key concepts include the kinetic model of gases, collision flux, transport coefficients, and chemical reaction rates.

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Pre 2010

Uploaded on 07/23/2009

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CH 342/Spring 2002 April 15, 2002
Study Guide 3
For the following, when a question asks how something is determined, it means how would it be
established in an experiment, how would it be calculated using its defining equation, or how would
it be used in its defining equation or otherrelated equations.
General
Know how to work the homework problems backward and forward. Review similar exercises and
problems in the textbook to those given as homework assignments. Review all example problems
in the textbook. Be prepared to answer short essay questions (with a few sentences) and to do prob-
lems involving numerical calculations with the equations given. Be prepared to perform general
derivations using algebraic manipulations of formulations and principles in calculus (differentia-
tion, partial differentiation, and integration).
Chapter 1.3: Gas Dynamics
What is the kinetic model of gases? What assumptions are used in its derivation?
Given a distribution of speeds f
(
v
)
, how are the mean, rms, and most probablespeeds of calculated
mathematically?
What is the meaning of the relative speed? How is it determined for a pure gas? How is it deter-
mined for two dissimilar gas molecules?
How are the mean, rms, and most probable speeds affected by pressure, temperature, and molar
mass of a gas?
What is the shape of the Maxwell distribution of speeds at different temperatures for different
gas molecules? What do the mean, rms, and most probable speeds of molecules represent on the
distribution?
What is the physical significance of collision frequency and mean free path? How are they affected
by pressure, temperature, and molar mass of a gas?
Chapter 24: Gas Transport Process
What is the significance of collision flux? How is it affected by pressure, temperature, and molar
mass of a gas?
What are the three transport coefficients of a fluid? What are their typical SI or other units? What
are the typical orders of magnitudes of transport coefficients for gases? How are they affected by
pressure, temperature, and molar mass of a gas?
What does the Poiseuille’s formula provide? How do the parameters of pressure, tube diameter,
and viscosity enter in the formula? How is volumetric flow affected by these parameters?
pf2

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CH 342/Spring 2002 April 15, 2002

Study Guide 3

For the following, when a question asks how something is determined, it means how would it be established in an experiment, how would it be calculated using its defining equation, or how would it be used in its defining equation or other related equations.

General

Know how to work the homework problems backward and forward. Review similar exercises and problems in the textbook to those given as homework assignments. Review all example problems in the textbook. Be prepared to answer short essay questions (with a few sentences) and to do prob- lems involving numerical calculations with the equations given. Be prepared to perform general derivations using algebraic manipulations of formulations and principles in calculus (differentia- tion, partial differentiation, and integration).

Chapter 1.3: Gas Dynamics

What is the kinetic model of gases? What assumptions are used in its derivation?

Given a distribution of speeds f ( v ), how are the mean, rms, and most probable speeds of calculated mathematically?

What is the meaning of the relative speed? How is it determined for a pure gas? How is it deter- mined for two dissimilar gas molecules?

How are the mean, rms, and most probable speeds affected by pressure, temperature, and molar mass of a gas?

What is the shape of the Maxwell distribution of speeds at different temperatures for different gas molecules? What do the mean, rms, and most probable speeds of molecules represent on the distribution?

What is the physical significance of collision frequency and mean free path? How are they affected by pressure, temperature, and molar mass of a gas?

Chapter 24: Gas Transport Process

What is the significance of collision flux? How is it affected by pressure, temperature, and molar mass of a gas?

What are the three transport coefficients of a fluid? What are their typical SI or other units? What are the typical orders of magnitudes of transport coefficients for gases? How are they affected by pressure, temperature, and molar mass of a gas?

What does the Poiseuille’s formula provide? How do the parameters of pressure, tube diameter, and viscosity enter in the formula? How is volumetric flow affected by these parameters?

2 CH 342/S

Chapter 25: Empirical Chemical Kinetics

What is a rate? What is a rate for a chemical reaction? What are the units of chemical reaction rate? What forms of reaction rate can be used when constant volume and/or constant pressure apply?

How does the stoichiometry of a reaction enter into formula for chemical rate?

What two factors affect a chemical reaction rate?

How is the affect of temperature included in a rate expression? What is the physical significance of activation energy and pre-factor? What is the exact method that should be used to determine the activation energy of a given chemical rate expression? Why?

How is the affect of concentration included empirically in a rate expression? What are reaction order and overall reaction order? What two methods can be used to determine reaction orders from experimental chemical kinetic data?

How is chemical equilibrium incorporated into a chemical rate expression?

What are the expressions for first and second order reactions? What is half life? How is it deter- mined for either of the above cases?

The following may appear on the final exam.

Chapter 25: Theoretical Chemical Kinetics

Why are initial reaction rates preferred for determining empirical kinetic coefficients? How are initial reaction rates determined experimentally?

What is the physical significance of zero, first, and second order reaction expressions as well as equilibrium reaction expressions? How does concentration change with time for a zero, first, and second order reactions? How does concentration change with time for a reaction that has equilibrium?

What is an elemental reaction? What is the molecularity of a reaction? What are the possible values of molecularity?

What are the theoretical expressions for first order series, parallel, and equilibrium reaction mech- anisms? How do concentrations change with time in such cases?

What is the rate determining step approximation?

What is the steady-state approximation?