# CH ENGR 102A Study Guide - Winter 2019, Comprehensive Midterm Notes - Thermodynamics, Ideal Gas, Entropy

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Published on 14 Feb 2019

School

Department

Course

Professor

CH ENGR 102A

[Wk1.Dis]

Friday, January 13, 2017 9:00 AM

ChemE 102A Page 1

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ChE 102A, Thermodynamics I, Winter 2017

Instructor Vasilios I. Manousiouthakis

Copyright © Vasilios I. Manousiouthakis, January 2011

“ἓν οἶδα, ὅτι οὐδὲν οἶδα“

Σωκράτης

Axiomatic Approach to Thermodynamics

The axiomatic approach to Thermodynamics is built through the introduction of Axioms

which are considered to be true statements, Definitions, and Theorems which are derived

through the use of axioms, definitions, and previously developed theorems. These

concepts are presented in the order they are introduced or developed, and are numbered

in the same order. Axioms, Definitions, and Theorems are indicated with an A, D, T,

respectively following their number.

1. A. Time

ts

, Length

lm

, Area

2tm

, Volume

3t

Vm

, Mass

m kg

,

Force

FN

, Energy

t

EJ

are undefined primitive concepts whose meaning is

considered known

2. D. Thermodynamic System

Sys

is a given finite amount of mass

m kg

under consideration

3. D. Simple Thermodynamic System or Phase

SSys

is a

Sys

that is

macroscopically homogeneous, isotropic, uncharged, not acted upon by electric,

magnetic, and gravitational fields, and sufficiently large so that surface effects are

negligible

4. D. Composite Thermodynamic System

CSys

comprises of at least two

simple thermodynamic systems

SSys

5. D. Simple Thermodynamic System State Vector

1,,p

MM

is a vector

which contains the minimum number of variables, knowledge of the values of

which uniquely determines

SSys

behavior of interest

6. D. Simple Thermodynamic System State Space is the linear space of

dimension

p

, whose points are simple thermodynamic system state vectors

7. D. Simple Thermodynamic System Property

M

is a function

11

: , : , , , ,

p

pp

M M M M M M M

whose values describe some

aspect of

SSys

behavior of interest

8. D.

t

M

is an extensive property of

SSys

iff its values vary with the extent

(size) of

SSys

and are proportional to

m

of

SSys

9. D.

M

is an intensive property of

SSys

iff its values do not vary with the

extent (size) of

SSys

and do not depend on

m

of

SSys

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10. D. An extensive property

t

M

can give rise to several intensive properties

through appropriate scaling. They are defined as follows: Specific Property is

t

M

Mm

Density Property is

t

t

M

MV

Molar Property is

t

M

Mn

, where

n mol

is the

SSys

number of moles

11. D. A subset of

l

is an open connected set iff there do not exist two

nonempty open subsets of this set whose union is the set and whose intersection is

the empty set

12. D. Control Volume

CV

is the open connected subset of

3

occupied by

Sys

at some time

0

t

13. D. Control Surface

CS

is the boundary of the closure of

CV

14. D. Control Mass

CM

is a given finite amount of mass surrounded by

real or imaginary boundaries that cannot be crossed by the considered mass

15. D. Environment or System Surroundings is the complement of the closure

of

CV

in

3

16. D. Work is energy in transit to a system’s macroscopically observable

motion coordinates

17. D. Heat is energy in transit to a system’s macroscopically unobservable

motion coordinates

18. D. Potential Energy

P

EJ

is the part of a system’s energy that can lead to

work generation solely due to the system’s position in an external field. If the

external field is the earth’s gravity field, then

2

P

E J m kg g m s r m

19. D. Kinetic Energy

2

1

2

K

E J m kg v m s

is the part of a system’s

energy that can lead to work generation solely due to the system’s motion

20. D.

Sys

is in a state of thermodynamic equilibrium iff its state vector does

not change with time and is spatially uniform throughout

CV

21. D. A Simple Thermodynamic System

SSys

is in a state of

thermodynamic equilibrium iff it is in mechanical, thermal, and chemical

equilibrium

22. D. Two

SSys

in thermal equilibrium with one another have the same

Thermodynamic Temperature

23. D. A

Sys

is Isolated iff it exchanges neither mass nor energy with its

surroundings

24. D. A

Sys

is Not Isolated iff it exchanges either mass or energy with its

surroundings

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