Pearson | PTE
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29 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
Which graph shows the correct Relationship ( P= pressure, = density)
Two non-reactive monoatomic ideal gases have partial pressure when enclosed in a cylinder at a constant temperature is 3: 4 and thin atomic masses is 3: 2 . what is the ratio of these Densities?
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In the process P V = constant, pressure (P) various density graph of an ideal gas is
( P= Pressure T= Temperature)
(i)
(ii)
(iii)
choose the wrong answer.
From the P-T graph, what conclusion can be drawn?
of oxygen, nitrogen and of carbon dioxide are mixed in an enclosed volume of and temp . The pressure exerted by the mixture is -
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Variation of internal energy with the density of one mole of monoatomic gas is depicted in the figure given below, corresponding variation of pressure with volume can be depicted as,
Pressure versus temperature graph of an ideal gas is as shown in figure. Density of the gas at point A is P0 . Density at point B will be
The mass of hydrogen molecule is 3.32 × 10-27 . If 1023 hydrogen molecules strike per sound, a fixed wall of area 2 cm2 at an angle of 45° from normal and rebound back with the speed of 1000 m/sec, then the pressure exerted on the wall is
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 in any direction
And Due to the random motion of the molecule
2. The time during a collision-Time between two successive collisions with the wall A1
3. Collision frequency (n): It means the number of collisions per second.
4. Change in momentum: This molecule collides with A1 wall (A1) with velocity vx and rebounds with velocity (-vx)
The change in momentum of the molecule is given by
As the momentum remains conserved in a collision, the change in momentum of the wall A1 is
5. Force on the wall: Force exerted by a single molecule on the A1 wall is equal to the rate at which the momentum is transferred to the wall by this molecule.
The total force on the wall A1 due to N molecules
where
6. Pressure-As pressure is defined as force per unit area, hence the pressure on A1 wall
So Total pressure inside the container is given by
Using total mass= M=mN
Pressure due to an ideal gas is given as
where
mass of one molecule
N = Number of the molecule
= RMS velocity
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