The kinetic theory of gases proposes that gases are made up of molecules that are in constant, random motion and collide elastically with each other and the walls of their container. The pressure exerted by a gas is caused by collisions of its molecules with the container walls, and is proportional to the number of collisions. Kinetic energy depends only on temperature, while the volume occupied by gas molecules is negligible compared to the container volume and intermolecular forces are ignored.

1. KINETIC THEORY OF
GASSES
MUHAMMAD ZEESHAN FAROOQ
ASIM ARSHAD
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2. KINETICS THEORY OF GASES
Purposed by Maxwell Boltzmann in 1873
Molecules of gases are constantly in random motion
All collision of gas molecules is elastic in nature
The pressure of gas is due to collision of molecules with wall of container
𝐏 ∝ 𝐍𝐨. 𝐨𝐟 𝐜𝐨𝐥𝐥𝐢𝐬𝐢𝐨𝐧 𝐨𝐟 𝐦𝐨𝐥𝐞𝐜𝐮𝐥𝐞𝐬
Kinetic energy depend only the absolute temperature
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3. KINETICS THEORY OF GASES
The volume occupied by gas negligible when compare to volume of gas
There is no intermolecular forces of attraction among molecules
Gravity is neglected
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4. MATHEMATICALLY DERIVATION
P+=+𝑚𝑢𝑥₁
P˗ =-𝑚𝑢𝑥₁
∆𝑃 = 2𝑚𝑢𝑥1
Time taking for each collision =
2𝑙
𝑢𝑥₁
F =
∆p
∆t
PV=
𝟏
𝟑
𝒎𝒏𝒖 𝘳𝘮𝘴
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5. F=
2mux₁×ux₁
2l
=
m ux₁2
l
u= uxi
+ uyj
+ uzk
u2=3ux2
F=
m
l
1
3
ux2
F for n molecules
Fnet =
1
3
m
l
u₁2 +
1
3
m
l
u₂2 +
1
3
m
l
u₃² ………
1
3
m
l
un²
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6. F=
1
3
m
l
[ u₁2+ u₂2 + u₃² ………un²]
F=
1
3
m
l
[u₁2+ u₂2+u₃² ………un
²]
n
×n
F=
1
3
mn
l
urms
2
∵ P=
𝐅
𝐀
P=
1
3
mnurms
2
l2.l
P=
1
3
mnurms
2
l³ ∵ V=l3
P=
1
3
mnurms
2
V PV=
𝟏
𝟑
mnurms
2
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