An ideal gas equation can be written as, P = ρ R T M 0 where ρ and M 0 are respectively,

number density, mass of the gas

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Important Questions on Kinetic Theory of Gases and Radiation

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

Define the following term : Brownian movement.

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

A mixture of hydrogen and oxygen has volume

500 {cm}^{3},

temperature

300 K,

pressure

400 k Pa

and mass

0.76 g .

The ratio of masses of oxygen to hydrogen will be:

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

State any ‘four’ assumptions of the kinetic theory of gases.

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion, the average time of collision between molecules increases as $V^{q}$ , where $V$ is the volume of the gas. The value of $q$ is:

$(γ = \frac{C_{P}}{C_{v}})$

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

Among the following, the correct statement is:

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

Name the following phenomenon/process :

Zig-zag movement of colloidal particles

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

If the water is converted into ice, and its entropy is changed by

Δ S,

then

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

A vertical closed cylinder is separated into two parts by a frictionless piston of mass

m

and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above piston is

l_{1},

and that below the piston is

l_{2},

such that

l_{1} > l_{2} .

Each part of the cylinder contains

n

moles of an ideal gas at equal temperature

T .

If the piston is stationary, its mass

m

will be given by:
(

R

is universal gas constant and

g

is the acceleration due to gravity)

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

If pressure and temperature of an ideal gas are doubled and volume is halved, the number of molecules of gas

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

Some smoke is trapped in a small glass container and is viewed through a microscope. A number of very small smoke particles are seen in continuous random motion as a result of their bombardment by air molecules. If the mass of the smoke particle is about $10^{12}$ times higher than that of an air molecule the average speed of a smoke particle is

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

A solid body of constant heat capacity

1 J {(℃)}^{- 1}

is being heated by keeping it in contact with reservoirs in two ways: (i) Sequentially keeping in contact with 2 reservoirs such that each reservoir supplies the same amount of heat. (ii) Sequentially keeping in contact with

8

reservoirs such that each reservoir supplies the same amount of heat. In both, cases the body is brought from initial temperature

100 K

to final temperature

200 K

. Entropy change of the body in the two cases respectively is: Note: This question was awarded as a bonus since temperatures were given in centigrade instead of in Kelvin. Proper corrections are made in the question to avoid it.

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

Particle

A

of mass

m_{A} = \frac{m}{2}

moving along the

x

-axis with velocity

v_{0}

collides elastically with another particle

B

at rest having mass

m_{B} = \frac{m}{3}

. If both the particles move along the

x

-axis after the collision, the change

∆ λ

in the wavelength of the particle

A

, in terms of its de-Broglie wavelength

(λ_{0})

before the collision is:

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

The molecules of a given mass of gas have RMS velocity of

200

m s^{- 1}

27^{o} C

and

1.0 \times 10^{5} N m^{- 2}

pressure. When the temperature and pressure of the gas are respectively,

127^{o} C

and

0.05 \times 10^{5} N m^{- 2}

, the r.m.s. velocity of its molecules in

m s^{- 1}

is:

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

What is Brownian movement? Write the reason and two main factors which affect it.

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

An ideal gas is enclosed in a cylinder at pressure of

2

atm and temperature,

300 K .

The mean time between two successive collisions is

6 \times 10^{- 8} s .

If the pressure is doubled and temperature is increased to

500 K,

the mean time between two successive collisions will be close to:

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

In an ideal gas at temperature T, the average force that a molecule applies on the walls of a closed container depends on

T a s T^{q}

. A good estimate for q is:

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

Two vessels separately contain two ideal gases

A

and

B

at the same temperature, the pressure of

A

being twice that of

B

. Under such conditions, the density of

A

is found to be

1.5

times the density of

B

. The ratio of molecular weights of

A

and

B

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

Which of the following curves represent the variation of coefficient of volume expansion of an ideal gas at constant pressure?

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

An ideal gas equation can be written as,

P = \frac{ρ R T}{M_{0}}

where

ρ

and

M_{0}

are respectively,

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Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Assumptions of Kinetic Theory of Gases

A spring - block system is resting on a frictionless floor as shown in the figure. The spring constant is

2.0 N m^{- 1}

and the mass of the block is

2 .0 kg

. Ignore the mass of the spring. Initially the spring is in an unstretched condition. Another block of mass

1.0 kg

moving with a speed of

2 .0 m s^{- 1}

collides elastically with the first block. The collision is such that the

2.0 kg

block does not hit the wall. The distance, in metres, between the two blocks when the spring returns to its unstretched position for the first time after the collision is _________.

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