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11th Physics Weekly Test - 1 ( Kinetic Theory of Gases )

MABS Institution

11th Physics Weekly Test - 1 ( Kinetic Theory of Gases )-Aug 2020

Time : 1.30 Hours

Part - A

Multiple Choice Question - Answer All Question

A cylinder of capacity 20 litres is filled with hydrogen gas. The total average K.E. of translatory motion of its molecules is 1.5 x 10⁵ J. The pressure of hydrogen in the cylinder is ________.

2 x 10⁶Nm^-2
3 x 10⁶Nm^-2
4 x 10⁶Nm^-2
5 x 10⁶Nm^-2

A gas is enclosed in a container which is then placed on a fast moving train. The temperature of the gas ________.

rises
remains unchanged
falls
becomes unsteady

Two different ideal gases are enclosed in two different vessels at the same pressure. If \(\rho\)₁ and \(\rho\)₂ are their densities and v₁ and v₂ their rrns speeds, respectively then - is equal to ________.

\(\frac { { \rho }_{ 1 }^{ 2 } }{ { \rho }_{ 2 }^{ 2 } } \\ \)
\(\frac { { \rho }_{ 2 }^{ 2 } }{ { \rho }_{ 1}^{ 2 } } \\ \)
\(\sqrt { \frac { { \rho }_{ 1 }^{ } }{ { \rho }_{ 2 }^{ } } }\)
\(\sqrt { \frac { { \rho }_{ 2 }^{ } }{ { \rho }_{ 1 }^{ } } }\)

The temperature is changed from 27°C to 327°C. Find ratio of K.E of molecules at two temperature.

3:2
2:3
1:2
2:1

Gas exerts pressure on the walls of the container

gas has weight
gas molecules have momentum
gas molecule collide with each other
gas molecules collide with the walls of the container

The temperature of an ideal gas is increased from 120 K to 480 K If at 120 K the root mean square velocity of the gas molecules is v, at 480 K it becomes

4v
2v
\(\frac{v}{2}\)
\(\frac{v}{4}\)

If the absolute temperature of a gas is increased 3 times the rms velocity of the molecules will be _________.

3 times
9 times
\(\sqrt 3\) times
\(\sqrt 6\) times

If the rms speed of the molecules of a gas is 1000 ms^-1 the average speed of the molecule is

1000 ms^-1
922 ms^-1
780 ms^-1
849 ms^-1

The average translational KE. of O₂(molar mass 32) molecules at a particular temperature is 0.048 eV. The translational KE. of N₂(molar mass 28) molecules in eV at the same temperature is ________

0.0015
0.003
0.048
0.768

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature the ratio \(\frac { { C }_{ p } }{ { C }_{ v } } \)for the gas is

\(\frac{4}{3}\)
2
\(\frac{5}{3}\)
\(\frac{3}{2}\)

Part - B

Generic 2 - Answer All Question

What is meant by rms speed of the molecules of a gas? Is rms speed same as the average speed?

Calculate the mean free path of air molecules at STP. The diameter of N₂ and O₂ is about 3 × 10_-10 m

On which factors does the average K.E. of gas molecules depend?
A box contains equal number of molecules of H_2&O2' If there is a fine hole in the box, which gas will leave rapidly? Why?

List the factors affecting the mean free path.

Part - C

Generic 3 - Answer All Question

Equal masses of O₂ and He gases are supplied equal amount of heat. Which gas will undergo a greater temperature rise and why?

Give the kinetic interpretation of temperature.

On which factors does the mean free path depend?
Explain in detail the Maxwell Boltzmann distribution function.

Describe the Brownian motion.

Part - D

Generic 5 - Answer All Question

A football at 27°C has 0.5 mole of air molecules. Calculate the internal energy of air in the ball.

From a certain apparatus, the diffusion rate of hydrogen has an average value of 28.7 cm³/s, The diffusion of another gas under the same condition is measured to have an average rate of 7.2 cm³/s. Identify the gas.

Explain postulates of the kinetic theory of gases.

State Newton's law of cooling verify with an experiment.
Explain the pressure exerted in a gas column.

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