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Lecture 32
pls32.1
Ideal Gas Law / Kinetic Theory
Media:
1.
VDF’s
at several T’s
2.
Thermal energy exchange videos
3.
EDF’s at two different T’s.
1.
Some Definitions and Relationships
atomic mass unit
:
u
= 1.6605
×
10
−
27
kg
(= 1/12 mass of a C
12
atom)
mole
:
6.022
×
10
23
of any collection of objects (atoms, molecules, golf
ball, etc. – let’s just refer to them generically as particles
)
Avogadro’s number
:
N
A
= 6.022
×
10
23
mol
−
1
Boltzmann’s constant
:
k
B
= 1.3807
×
10
−
23
J/K
gas constant
:
R
= 8.31 J/(mol K)
Relationship among these last three quantities:
B
A
k
N
R
=
.
Now consider the following:
if
N
represent the number of particles of
interest and
n
the number of moles of those particles, then
A
N
n
N
=
.
Thus,
R
n
k
N
n
k
N
B
A
B
=
=
.
That is,
B
k
N
R
n
=
This relationship is useful for reexpressing thermal quantities in
terms of either
B
k
or
R
.
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View Full DocumentLecture 32
pls32.2
2.
Ideal Gas Equations of State
Equations of state are any equations for a system that relate the
(macroscopic) thermodynamic variable.
—ideal monatomic gas (IMG)
T
k
N
U
B
2
3
=
T
k
N
PV
B
=
or
T
R
n
U
2
3
=
T
R
n
PV
=
—ideal diatomic gas (IDG)
T
k
N
U
B
2
7
=
T
k
N
PV
B
=
or
T
R
n
U
2
7
=
T
R
n
PV
=
Clicker question 1
3.
Kinetic Theory
For any
ideal gas (IMG, IDG, or other) the average CM kinetic energy
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 Fall '11
 KODERA
 Physics, Energy, Mass, Thermal Energy

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