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

Identify the correct labels of A , B and C in the following graph from the options given below: Root mean square speed V r m s ; most proable speed V m p ; Average speed V a v

A - V mp ; B - V av ; C - V rms

A - V mp ; B - V rms ; C - V av

A - V av ; B - V rms ; C - V mp

A - V rms ; B - V mp ; C - V av

HARD

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A blend of nitrogen and water vapour is admitted to a flask at $760 torr$ , which contains a sufficient solid drying agent. After a long time, the pressure reached a steady value of $722 torr .$ If the experiment is done at $27 ° C$ and drying agent in weight increases by $0.9 g$ , determine the volume of the flask. Also, neglect any possible vapour pressure of drying agent and volume occupied by the drying agent.

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Important Questions on Kinetic Theory of Gases

EASY

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

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

EASY

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

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

Δ S,

then

MEDIUM

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

Which of the following statement(s) (are) correct regarding the root-mean-square speed

(U_{r m s})

and average translational kinetic energy

(E_{av})

of a molecule in a gas at equilibrium?

EASY

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

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}

)

MEDIUM

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

Which of the following is not an assumption of the kinetic theory of gases?

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory of Gases>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:

MEDIUM

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

The kinetic energy in

J

1

mole of

N_{2}

27 ° C

is:

(R = 8.314 J {mol}^{- 1} K^{- 1})

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases>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,

EASY

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

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 of Gases>Kinetic Theory of Gases

Points

I, I I

and

I I I

in the following plot respectively correspond to (

V_{m p} :

most probable velocity)

Question Image

EASY

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

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

MEDIUM

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

Identify the correct labels of

A, B

and

C

in the following graph from the options given below:
Question Image

Root mean square speed

(V_{r m s});

most proable speed

(V_{m p});

Average speed

(V_{a v})

EASY

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

What is the average kinetic energy of molecules of an ideal gas leaking freely through an orifice of a container which has

N

molecules at pressure

P

in volume

V

EASY

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

Predict the correct order of rate of diffusion of the following molecules.

MEDIUM

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

Among the following, the plot that shows the correct marking of most probable velocity

(V_{MP}),

average velocity

(\bar{V}),

and root mean square velocity

(V_{RMS})

is :

MEDIUM

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

What is the kinetic energy (in

ergs

) of the nitrogen molecule at

- 73 ° C

EASY

Physics>Heat and Thermodynamics>Kinetic Theory of Gases>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

HARD

Physics>Heat and Thermodynamics>Kinetic Theory of Gases>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:

MEDIUM

Physics>Heat and Thermodynamics>Kinetic Theory of Gases>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 _________.

Question Image

Important Questions on Kinetic Theory of Gases

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