Gaseous State Flashcards
Relation between Pressure and root mean square speed
P = mnu*u/3V
(where ‘m’ is mase of 1 molecule, ‘n’ is total no. of molecules and V is volume of container)
Most Probable Speed (alpha)
square root of (2RT/M)
Average speed
Square root of [{(nv)1 + (nv)2}/n1 + n2]
square root of (8RT/pi*M)
Root mean square speed
square root of (3RT/M)
(alpha) : average speed : u
square root 2 : square root 8/pi : square root 3
1 : 1.1 : 1.224
Relation between speed, Temperature and Most probable speed for fraction of molecules
The most the temperature, the more the speed but alpha (waise toh woh increase hi krti hai but for the fraction of molecules) decreases and vice versa.
Kinetic Energy per mole of a gas ( R/N = Boltzmann constant K )
3RT/2 or 3PV/2 [ for n moles : 3RT/2*avogadro no. = 3KT/2]
Pressure and Temperature for real gas
P = high
T = low
Compressibility Factor
Z = PV/nRT
‘Z’ for ideal gas
1
Vander Waal equation
(P + an*n/V^2)(V - nb) = nRT
where,
a = force of attraction,
b = volume reserved (4VN)
n = no. of moles
Relation between Repulsive Forces and ‘Z’
when Z > 1, repulsive forces dominate
Relation between Repulsive Forces and ‘Z’
Critical Temperature
Temperature below which a gas can be liquified
Critical Pressure
Pressure for critical temperature
Critical Volume
Volume on critical temperature
Critical Temperature for gases
Elementary Gases : Tc is low
Non Elementary Gases : Tc is high
Relation between ‘a’ and Tc
the more the value of ‘a’, the more the value of Tc and the better and easy the liquification