VIT - VITEEE 2025
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18 Questions around this concept.
For Brownian motion of particle, match columns I and II.
Factor Effect
(i) Decrease in size of Brownian particle (P) Increase of Brownian motion
(ii) Decrease in density of medium (Q) Decrease of Brownian motion
(iii) Increase in temperature of medium (R) Unaffected
(iv) Increase in viscosity of the medium
An ideal monoatomic gas is confined in a cylinder by a spring loaded piston of cross-section 8.0 x 10-3 m2. Initially, the gas is at 300K and occupies a volume of 2.4 x 10-3 m3 and the spring is in its relaxed state as shown in the figure. The gas is heated by a small heater until the piston moves out slowly by 0.1 m. The force constant of the spring is 8000 N/m and the atmospheric pressure is 1.0 x 105 N/m2. The cylinder and the piston are thermally insulated. The piston and the spring are massless and there is no friction between the piston and the cylinder. The final temperature of the gas will be :
(Neglect the heat loss through the lead wires of the heater. The heat capacity of the heater coil is also negligible)
A monoatomic ideal gas is expanded adiabatically to times its initial volume, The ratio of the final rate of collision of molecules with a unit area of container walls to the initial rate will be
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A gas at pressure is contained in a vessel. If the masses of all the molecules are halved and their speeds doubled, the resulting pressure would be
The volume V versus temperature T graphs for a certain amount of a perfect gas at two pressures
Gas at pressure is contained in a vessel. If the masses of all the molecules are doubled and their speed is halved, the resulting pressure
will be equal to
When an ideal gas at pressure
National level exam conducted by VIT University, Vellore | Ranked #11 by NIRF for Engg. | NAAC A++ Accredited | Last Date to Apply: 7th April | NO Further Extensions!
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An ideal gas is initially at temperature
An ideal gas expands isothermally from a volume
A cylindrical tube of uniform cross-sectional area
Consider an ideal gas (consisting of N molecules each of mass m) enclosed in a cubical box of side L as shown in the below figure.
1. Instantaneous velocity-
Any molecule of gas moves with velocity
where
And Due to the random motion of the molecule
2. The time during a collision-Time between two successive collisions with the wall
3. Collision frequency
4. Change in momentum: This molecule collides with
As the momentum remains conserved in a collision,
the change in momentum of wall
5. Force on the wall: Force exerted by a single molecule on the
i.e.
The total force on the wall
where
6. Pressure-As pressure is defined as force per unit area, hence the pressure on
So Total pressure inside the container is given by
Using total mass
Pressure due to an ideal gas is given as
where
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