CLASS: XI
PHYSICS
TOPIC: KINETIC THEORY OF GASES
FORMULE
PV = NT K B
Perfect gas equation
PV = μNA T K B
PV = μ RT
Dalton's law of partial pressure
P = P1 + P2 + ...........
number of moles μ
number of molecules (N)
Mass
vloume
=
=
NA
Molar mass
22.4 lit
Internal energy E of an ideal gas in terms of T
3
E = 2 N KB T
3 RT
M
Root mean square speed Vrms
1
Mean free path (𝑙)
n𝜋 2d2
1
n𝜋 < 𝑣 > d2
Time between two successive collisions
Type of gas
Total Internal energy (E)
3
Mono-atomic gas
2
3
𝜇 2 RT
5
Without vibration
2
NK B T
5
𝜇 2 RT
Di-atomic gas
7
With vibration
2
NK B T
7
𝜇 2 RT
𝜇 (3 + f ) RT
(3 + f )NK B T
Polyatomic gas
PHYSICAL QUANTITY
NK B T
SI UNIT
CP
𝜸=
3
R
2
5
R
2
5
5
R
2
7
R
2
7
= 1.400
5
7
R
2
9
R
2
7
3
9
(3 + f ) R (4 + f ) R
PHYSICAL QUANTITY
= 1.667
= 1.286
(4 + f )
(3 + f )
SI UNIT
Universal gas constant(R)
J/ mol K
Boltzmann constant (KB)
J/ K
Internal energy (U)
J
CP or CV
J/ mol K
CONVERSIONS & CONSTANTS
1. Universal gas constant(R)
=
8.314 J/ mol K
2. Boltzmann constant
=
1.38 × 10–23
=
6.02 × 1023
3. Avagadro's Number (NA)
(KB)
𝑪𝑷
𝑪𝑽
CV
J/ K