EASY

Earn 100

In case of gases, which is greater: mean value of velocities or r.m.s. value of velocities?
(Choose from: mean value/ rms value)

50% studentsanswered this correctly

Important Questions on Kinetic Theory

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

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

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

EASY

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

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?

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)

MEDIUM

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

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

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)?

EASY

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

Two gases having same pressure

P

and volume

V

are mixed at a temperature

T

. If the mixture is at a temperature

T

and occupies the same volume then pressure of the mixture would be

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

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}]

EASY

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

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

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

HARD

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

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>Kinetic Theory of an Ideal Gas

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 $= 32$ )

EASY

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

Pressure of an ideal gas is increased by keeping the temperature constant. The kinetic energy of molecules

HARD

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

Deduce Boyle’s law using the expression for pressure exerted by the gas.

EASY

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

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>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

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>Kinetic Theory of an Ideal Gas

The mean free path of molecules of a gas (radius ‘

r

’) is inversely proportional to:

In case of gases, which is greater: mean value of velocities or r.m.s. value of velocities? (Choose from: mean value/ rms value)

Important Questions on Kinetic Theory

Learn and Prepare for any exam you want !

In case of gases, which is greater: mean value of velocities or r.m.s. value of velocities?
(Choose from: mean value/ rms value)