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Consider gas atoms, each of mass m, in a container.
How much momentum is transferred to the wall for one collision?
Atoms can collide with the wall of area A.
v
x
= Initial component of velocity v in x direction.
mv
x
= Initial component of momentum along x axis.
Atom undergoes elastic collision with wall.
After collision, component of momentum along x axis =
mv
x
The magnitude of the momentum change upon collision = 2mv
x
The Kinetic Theory of Gases:
What is the average KE of an ideal gas atom at temperature T?
v
v
x
x
How many collisions with wall
Will occur during time interval
Δ
t?
N atoms in container.
Volume = V
Atom with velocity v
x
will travel distance d
x
= v
x
Δ
t in time interval
Δ
t
To hit wall, atom must be initially located within this distance from wall.
All particles in volume Av
x
Δ
t will hit wall if they are moving towards it.
Fraction atoms in volume V that hit wall in interval
Δ
t:
Assume a total of N atoms in volume V
Total number of atoms to hit wall in time interval
Δ
t is:
V
t
v
A
Fraction
x
Δ
=
V
t
v
A
N
x
Δ
Area
A
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This note was uploaded on 09/10/2008 for the course CHEM 1732 taught by Professor Davis during the Fall '08 term at Cornell University (Engineering School).
 Fall '08
 Davis
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