EASY

Earn 100

Consider the following statement regarding Maxwell Boltzmann distribution curve.

I. The fraction of molecules with very low or very high speeds is very small.

II. At higher temperatures, the curve near $v_{mp}$ becomes narrower.

III. The speed possessed by maximum fraction of molecules is known as most probable speed.
Which of the above statement/s is/are incorrect?

50% studentsanswered this correctly

Important Questions on Kinetic Theory of Gases and Radiation

HARD

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

The number of molecules in one litre of an ideal gas at

2

atmospheric pressure with mean kinetic energy

2 \times 10^{- 9} J

per molecule is:

EASY

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

The average energy of molecules in a sample of oxygen gas at

300 K

are

6.21 \times 10^{- 21}

J .

The corresponding values at

600 K

are

EASY

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

What will be the average value of energy along one degree of freedom for an ideal gas in thermal equilibrium at a temperature

T ?

(

k_{B}

is Boltzmann constant)

EASY

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

As per kinetic theory of gases which of the following statements is / are true?
a) Temperature of a gas is a measure of average kinetic energy of a molecule
b) Temperature of a gas depends on the nature of the gas
c) Heavier molecule has lower average speed
d) Lighter molecule has lower average speed

EASY

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

The average kinetic energy of a monoatomic gas molecule kept at temperature

27 ° C

is (Boltzmann constant

k = 1.3 \times 10^{- 23} {JK}^{- 1})

HARD

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

The average translational kinetic energy of $N_{2}$ gas molecules at $_____{}^{\circ}C$ becomes equal to the $K . E .$ of an electron accelerated from rest through a potential difference of $0.1 volt .$

(Consider $0 K = - 273 ° C$ , $k_{B} = 1.38 \times 10^{- 23} J K^{- 1} and e = 1.6 \times 10^{- 19} C)$ (Fill the nearest integer).

EASY

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

Two ideal polyatomic gases at temperatures

T_{1}

and

T_{2}

are mixed so that there is no loss of energy. If

F_{1}

and

F_{2}, m_{1}

and

m_{2}, n_{1}

and

n_{2}

be the degrees of freedom, masses, number of molecules of the first and second gas respectively, the temperature of mixture of these two gases is:

EASY

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

A flask contains hydrogen and oxygen in the ratio of

2 : 1

by mass at temperature

27 ° C

. The ratio of average kinetic energy per molecule of hydrogen and oxygen respectively is :

EASY

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

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)?

EASY

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

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 of Gases and Radiation>Maxwell Distribution

The average translational kinetic energy of

O_{2}

molecules at a particular temperature is

0.048 eV

. The translational kinetic energy of

N_{2}

molecules at the same temperature is

EASY

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

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

EASY

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

A flask contains argon and oxygen in the ratio of

3 : 2

in mass and the mixture is kept at

27 ° C

. The ratio of their average kinetic energy per molecule respectively

EASY

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

What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature

T ?

MEDIUM

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

Following statements are given
(1) The average kinetic energy of a gas molecule decreases when the temperature is reduced.
(2) The average kinetic energy of a gas molecule increases with increase in pressure at constant temperature.
(3) The average kinetic energy of a gas molecule decreases with increases in volume.
(4) Pressure of a gas increases with increase in temperature at constant pressure.
(5) The volume of gas decreases with increase in temperature.

Choose the correct answer from the options given below :

EASY

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

A gas mixture consists of

2

moles of oxygen and

4

moles of neon at temperature

T

. Neglecting all vibrational modes, the total internal energy of the system will be:

EASY

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

The temperature at which the kinetic energy of oxygen molecules becomes double than its value at

27 ° C

HARD

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

A diatomic gas consisting of rigid molecules is at a temperature of

87 ° C

. If the moment of inertia of the rotating diatomic rigid molecule is

2.76 \times 10^{- 39} g {cm}^{2}

, then the rms angular speed of the molecule is

(

Boltzmann constant

= 1.38 \times 10^{- 23} J K^{- 1}

)

EASY

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

The number density of molecules of a gas depends on their distance r from the origin as,

n (r) = n_{0} e^{- α r^{4}} .

Then the numer of molecules is proportional to:

MEDIUM

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

A gas molecule of mass

M

at the surface of the earth has kinetic energy equivalent to

0 ° C

. If it were to go up straight without colliding with any other molecules, how high would it rise? Assume that the height attained is much less than the radius of the earth. (

k_{B}

is Boltzmann constant)

Important Questions on Kinetic Theory of Gases and Radiation

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