EASY

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The average kinetic energy of gas molecules does not depend upon temperature.

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Important Questions on Kinetic Theory

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

The temperature, at which the root mean square velocity of hydrogen molecules equals their escape their escape velocity from the earth, is closest to:

[

Boltzmann Constant

k_{B} = 1.38 \times 10^{- 23} J / K

Avogadro number

N_{A} = 6.02 \times 10^{26} / k g

Radius of Earth:

6.4 \times 10^{6} m

Gravitational acceleration on Earth

= 10 m s^{- 2}]

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

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 _________.

Question Image

EASY

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

Increase in temperature of a gas filled in a container will lead to

EASY

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

N molecules each of mass m of a gas

A

and

2 N

molecules each of mass

2 m

of gas

B

are contained in the same vessel which is maintained at temperature

T

. The mean square velocity of molecules of

B

type is

v^{2}

and the mean square rectangular component of the velocity of

A

type is denoted by

ω^{2}

. Then the value of

ω^{2} / v^{2}

is -

EASY

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

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>Kinetic Theory of an Ideal Gas

For given gas at

1 a t m

pressure,

r m s

speed of the molecules is

200 m / s

127 ° C .

2 a t m

pressure and at

227 ° C,

the

r m s

speed of the molecules will be:

EASY

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

Which of the following shows the correct relationship between the pressure

' P'

and density

ρ

of an ideal gas at constant temperature ?

EASY

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

To raise the temperature of a certain mass of gas by

50 ° C

at a constant pressure,

160

calories of heat is required. When the same mass of gas is cooled by

100 ° C

at constant volume,

240

calories of heat is released. How many degrees of freedom does each molecule of this gas have (assume gas to be ideal)?

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

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>Kinetic Theory of an Ideal Gas

The temperature of an ideal gas is increased from

100 K

400 K

. If the

r m s

speed of the gas molecule is

V

100 K

, then at

400 K

it becomes

EASY

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

H C l

molecule has rotational, translational and vibrational motions. If the rms velocity of

H C l

molecules in its gaseous phase is

\bar{ν}

, m is its mass and

k_{B}

is Boltzmann's constant, then its temperature will be:

EASY

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

According to the assumptions made in the kinetic theory of gases, when two molecules of a gas collide with each other then

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

Two gases - argon (atomic radius

0.07 n m,

atomic weight

40

) and xenon (atomic radius

0.1 n m,

atomic weight

140

) have the same number density and are at the same temperature. The ratio of their respective mean free times is closest to:

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

25 \times 10^{- 3} m^{3}

volume cylinder is filled with

1

mol of

O_{2}

gas at room temperature

(300 K)

. The molecular diameter of

O_{2}

, and its root mean square speed, are found to be

0.3 n m

and

200 m s^{- 1}

, respectively. What is the average collision rate (per second) for an

O_{2}

molecule?

EASY

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

The RMS speed of oxygen at room temperature is about

500 m s^{- 1}

. The RMS speed of hydrogen at the same temperature is about

EASY

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

In a dilute gas at pressure

P

and temperature '

t

', the time between successive collision of a molecule varies with

T

as :

EASY

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

Nitrogen gas is at

300 ° C

temperature. The temperature (in

K

) at which the rms speed of a

H_{2}

molecule would be equal to the rms speed of a nitrogen molecule, is

\dots \dots \dots .

(Molar mass of

N_{2}

gas

28 g

HARD

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium at temperature

T

. Assuming the gases are ideal, the correct statement(s) is (are)

EASY

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

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:

HARD

Physics>Heat and Thermodynamics>Kinetic Theory>Kinetic Theory of an Ideal Gas

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:

The average kinetic energy of gas molecules does not depend upon temperature.

Important Questions on Kinetic Theory

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