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# Notes - Kinetic theory Class 11 Notes | EduRev

## Class 11 : Notes - Kinetic theory Class 11 Notes | EduRev

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Kinetic Theory of Gases I
Page 2

Kinetic Theory of Gases I
Ideal Gas
The number of molecules is large
The average separation between
molecules is large

Molecules moves randomly
Molecules obeys Newton’s Law
Molecules collide elastically with each
other and with the wall

Consists of identical molecules
Page 3

Kinetic Theory of Gases I
Ideal Gas
The number of molecules is large
The average separation between
molecules is large

Molecules moves randomly
Molecules obeys Newton’s Law
Molecules collide elastically with each
other and with the wall

Consists of identical molecules
The Ideal Gas Law
PV ? nRT
n: the number of moles in  the ideal gas
n ?
N
N
A
total number
of molecules
atoms, molecules, etc, in a mole of
a substance: N
A
=6.02 x 10
23
/mol.
R: the Gas Constant: R = 8.31 J/mol · K
in K
Page 4

Kinetic Theory of Gases I
Ideal Gas
The number of molecules is large
The average separation between
molecules is large

Molecules moves randomly
Molecules obeys Newton’s Law
Molecules collide elastically with each
other and with the wall

Consists of identical molecules
The Ideal Gas Law
PV ? nRT
n: the number of moles in  the ideal gas
n ?
N
N
A
total number
of molecules
atoms, molecules, etc, in a mole of
a substance: N
A
=6.02 x 10
23
/mol.
R: the Gas Constant: R = 8.31 J/mol · K
in K
Pressure and Temperature
Pressure: Results from collisions of molecules
on the surface
P ?
F
A
Pressure:
Force
Area
Force:
F ?
dp
dt
Rate of momentum
given to the surface
Momentum: momentum given by each collision
times the number of collisions in time dt
Page 5

Kinetic Theory of Gases I
Ideal Gas
The number of molecules is large
The average separation between
molecules is large

Molecules moves randomly
Molecules obeys Newton’s Law
Molecules collide elastically with each
other and with the wall

Consists of identical molecules
The Ideal Gas Law
PV ? nRT
n: the number of moles in  the ideal gas
n ?
N
N
A
total number
of molecules
atoms, molecules, etc, in a mole of
a substance: N
A
=6.02 x 10
23
/mol.
R: the Gas Constant: R = 8.31 J/mol · K
in K
Pressure and Temperature
Pressure: Results from collisions of molecules
on the surface
P ?
F
A
Pressure:
Force
Area
Force:
F ?
dp
dt
Rate of momentum
given to the surface
Momentum: momentum given by each collision
times the number of collisions in time dt
Only molecules moving toward the surface hit
the surface. Assuming the surface is normal to
the x axis, half the molecules of speed v
x
move
toward the surface.
Only those close enough to the surface hit it
in time dt, those within the distance v
x
dt
The number of collisions hitting an area A in
time dt is
1
2
N
V
??
??
??
??
? A ? v
x
? dt
The momentum given by each collision to
the surface
2mv
x
Average density
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