Notes - Kinetic theory Class 11 Notes | EduRev

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

 Page 1


 
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 
Avogadro’s number: the number of 
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 
Avogadro’s number: the number of 
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 
Avogadro’s number: the number of 
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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