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If N be the Avogadro's number and R be the gas constant, then Boltzmann constant is given by:
RN
R⁢/⁢N
N⁢/⁢R
1⁢/⁢R⁢N.
Brownian motion has played a convincing role in establishing:
Kinetic theory of gases.
Mechanical equivalence of heat.
Elastic nature of molecular collisions.
None of the above.
Which of the following is NOT an assumption of kinetic theory of gases
All molecules of gas are identical.
Gas molecules are like rigid body.
All gases are perfect gases.
Duration of molecular collision is negligible.
In kinetic theory of gases, it is assumed that molecular collisions are:
Inelastic.
For negligible duration.
One dimensional (head on)
Unable to exert mutual force.
Brownian motion is due to
Collisions of suspended particles with the liquid molecules.
Collisions of suspended particles. With each other.
Intermolecular force.
Some reason other than those mentioned above.
Which of the following is NOT the property of Brownian motion? The Brownian motion is
Continuous
random.
Due to molecular collision with the walls
regular
A cylinder contains 2 kg of air at a pressure 105 Pa. if 2 kg more air is pumped into it. Keeping the temperature constant, the pressure will be:
105 Pa
2×105 Pa.
0.5×105 Pa
1010 Pa
The kinetic theory of molecular motion appears as:
Potential energy
heat.
Temperature
none of the above
'P' is the pressure and 'd' is the density of gas at constant temperature, then
P∝d
P∝1⁢/⁢d
P∝d
P∝1⁢/d
At constant pressure the rams velocity 'c' is related to density 'd' as
c∝d
c∝1⁢/⁢d
c∝d
c∝1⁢/d
The rms speed of the molecules of a gas at a pressure 105 PA and temperature 0∘C is 0.5 k⁢m s−1. if the pressure is kept constant but temperature is raised to 819°C the velocity will become :
1 km s-1.
1.5 k⁢m s−1.
2 k⁢m s−1.
5 km s-1
Two gases A and B having the same temperature T. same pressure p and same volume V are mixed. if the temperature of the mixture remains unchanged then the volume occupied by it is V. then pressure of the mixture will be :
p⁢/2
p
2p
4p.
Which of the following laws can be basis of separating a mixture of gases ?
Avogadro's law
Graham's law of diffusion
Boyle's law
Charle's law
A gas molecule of mass m is incident normally on the wall of containing vessel with the velocity u. after the collision the momentum of the molecule will be
zero.
12 mu.
mu
2 mu.
Under same temperature & pressure, the rate of diffusion of gas is related to the density of the gas as :
Rx 1⁢/⁢d.
Rx d.
Rx 1/√d.
Rx Vd.
The molecular motion ceases at:
273 K.
273∘C
– 273 K
−273∘C
The mean kinetic theory of a mono atomic gas molecule is :
zero.
12 kT.
kT.
3⁢/2 kT
The energy associated with each degree of freedom of a gas molecule is :
zero.
12 kT.
kT.
3⁢/2 kT.
A hotter gas implies higher average value of
internal energy
total energy
kinetic energy
heat constant.
The number of degrees of freedom for translatory motion are
same for all types of molecules.
less for multi atomic molecules.
more for multi atomic molecules.
dependent upon the nature of translatory motion.