EASY

Earn 100

If $m$ represents the mass of each molecule of a gas and $T$ its absolute temperature, then the root mean-square velocity of the gaseous molecule is proportional to

50% studentsanswered this correctly

Important Questions on Kinetic Theory of Gases and Radiation

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

Number of molecules in a volume of

4 {cm}^{3}

of a perfect monoatomic gas at some temperature

T

and at a pressure of

2 cm

of mercury is close to? (Given, mean kinetic energy of a molecule (at T) is

4 \times 10^{- 14} erg, g = 980 cm s^{- 2}

density of mercury

= 13.6 g {cm}^{- 3}

)

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

The root mean square speed of smoke particles each of mass

5 \times 10^{- 17} k g

in their Brownian motion in air at

N . T . P

HARD

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

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:

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

At what temperature is the $R . M . S .$ velocity of Hydrogen molecule is equal to that of an oxygen molecule at $47 ° C$ ?

(Molecular weight of hydrogen $= 2,$ Molecular weight of oxygen $= 32$ )

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

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}]

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

Equal volumes of hydrogen and oxygen gasses of atomic weights

1

and

16

respectively are found to exert equal pressure on the walls of two separate containers. The rms velocities of the two gasses are in the ratio

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

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 of Gases and Radiation>Maxwell Distribution

The temperature at which the r.m.s. velocity of oxygen molecules will be

{(\frac{1}{3})}^{rd}

r \cdot m . s

velocity of hydrogen molecules at

- 3 ° C

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

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 of Gases and Radiation>Maxwell Distribution

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 of Gases and Radiation>Maxwell Distribution

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:

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

Which of the following shows the correct relationship between the pressure

' P'

and density

ρ

of an ideal gas at constant temperature ?

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

The

rms

speed of a particle is

v_{rms}

at a pressure

P .

If pressure is increased to

3

times then the rms speed becomes

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

15 g

mass of nitrogen gas is enclosed in a vessel at a temperature,

27^{o} C

. The amount of heat transferred to the gas, so that

R . M . S .

velocity of molecules is doubled, is about.

[R = 8 .3 J {(K mole)}^{- 1}]

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

The molecules of a monoatomic gas has r.m.s. speed

v

27 ° C

. It is heated until the r.m.s. speed becomes

2 v

. What is the new temperature?

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

On the basis of kinetic theory of gases, the gas exerts pressure because its molecules:

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

Universal gas constant is

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

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:

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

10^{22}

gas molecules each of mass

10^{- 26}

kg collides with a surface (perpendicular to it) elastically per second over an area

1 m^{2}

with a speed

10^{4} m / s,

the pressure exerted by the gas molecules will be of the order of:

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases and Radiation>Maxwell Distribution

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

If m represents the mass of each molecule of a gas and T its absolute temperature, then the root mean-square velocity of the gaseous molecule is proportional to

Important Questions on Kinetic Theory of Gases and Radiation

Learn and Prepare for any exam you want !

If $m$ represents the mass of each molecule of a gas and $T$ its absolute temperature, then the root mean-square velocity of the gaseous molecule is proportional to