Statement: The root mean square and most probable speeds of the molecules in a gas is symmetrical.Reason: The Maxwell distribution for the speed to molecules in a gas is symmetrical.

Both statement and reason are true and the reason is the correct explanation of the statement

Both statement and reason are true but the reason is not a correct explanation of the statement

Statement it true but the reason is false

Both statement and reason are false

The temperature of gas is held constant, while its volume is decreased. The pressure exerted by the gas on the wall of the container increases, because of its molecules ___________

Are in contact with the walls for a shorter time

Strike the walls with higher velocities

Strike the walls with large farce

Strike the walls more frequently

Are in contact with the walls for a shorter time

A gas behaves as an ideal gas at ___________

Low pressure and low temperature

Low pressure and high temperature

Low pressure and low temperature

High pressure and low temperature

High pressure and high temperature

For Boyle’s law to hold good, the gas should be ___________

Real and of constant mass and temperature

Perfect and of constant mass and temperature

Real and of constant mass and temperature

Perfect and at constant temperature but variable mass

Real and at constant temperature but variable mass

At Boyle’s temperature?

Van der Waal’s equation becomes zero

Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will ___________

Decreases for some, while the increase for others

In a gas, the expression for the average speed of molecule is given by

\(\sqrt {\frac{{3kT}}{{2m}}} \)

If the gas particles are of diameter d, average speed v, number of particles per unit volume n, then the term nΠd2v represents?

the average distance between two successive collisions, also called the mean free path

the volume a particle sweeps in time t

the time between two successive collisions on average

the rate of collisions in time t

the average distance between two successive collisions, also called the mean free path

If the gas particles are of diameter 'd', average speed 'v', number of particles per unit volume 'n', then what is the term "Πd2vt" represents?

the average distance between two successive collisions also called the mean free path

the rate of collisions in time 't'

the time between two successive collisions on average

the volume a particle sweeps in time 't'

the average distance between two successive collisions also called the mean free path

In the relation from Kinetic theory of gases, PV = (1/3)nMv2, if 'M' is molecular mass then 'n' is ________.

number of collisions per unit volume

One mole of an ideal gas passes through a process where pressure and volume obey the relation\({\rm{P}} = {{\rm{P}}_0}\left[ {1 - \frac{1}{2}{{\left( {\frac{{{{\rm{V}}_0}}}{{\rm{V}}}} \right)}^2}} \right]\) Here P0 and V0 are constants. Calculate the change in the temperature of the gas if its volume changes from V0 to 2V0

\(\frac{3}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)

\(\frac{1}{2}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}{\rm{\;}}\)

\(\frac{5}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)

\(\frac{3}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)

\(\frac{1}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)

A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above the piston is l1 and that below the piston is l2, such that l1 > l2. Each part of the cylinder contains n moles of an ideal gas at equal temperature T. If the piston is stationary, its mass m, will be given by (where, R is universal gas constant and g is the acceleration due to gravity)

\({\rm{\;}}\frac{{{\rm{nRT}}}}{{\rm{g}}}\left[ {\frac{1}{{{{\rm{l}}_2}}} + \frac{1}{{{{\rm{l}}_1}}}} \right]\)

\(\;\frac{{{\rm{nRT}}}}{{\rm{g}}}\left[ {\frac{{{{\rm{l}}_1} - {{\rm{l}}_2}}}{{{{\rm{L}}_1}{{\rm{l}}_2}}}} \right]\)

\({\rm{\;}}\frac{{{\rm{nRT}}}}{{\rm{g}}}\left[ {\frac{1}{{{{\rm{l}}_2}}} + \frac{1}{{{{\rm{l}}_1}}}} \right]\)

\({\rm{\;}}\frac{{{\rm{RT}}}}{{\rm{g}}}\left[ {\frac{{2{\rm{l}} + {{\rm{l}}_2}}}{{{{\rm{l}}_1}{{\rm{l}}_2}}}} \right]\)

\({\rm{\;}}\frac{{{\rm{RT}}}}{{{\rm{ng}}}}\left[ {\frac{{{\rm{h}} - 3{{\rm{l}}_2}}}{{{{\rm{l}}_1}{{\rm{l}}_2}}}} \right]\)

According to the kinetic theory of gasses, the absolute zero temperature is attained because of:

Kinetic energy of molecules is zero

In the ideal gas equation, PV = μRT, μ is the _____________ of the gas.

thermal coefficient of volume expansion

n moles of an ideal gas with constant volume heat capacity Cv undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is:

\(\frac{{{\rm{nR}}}}{{{{\rm{C}}_{\rm{V}}} - {\rm{nR}}}}\)

\(\frac{{{\rm{nR}}}}{{{{\rm{C}}_{\rm{V}}} + {\rm{nR}}}}\)

\(\frac{{{\rm{nR}}}}{{{{\rm{C}}_{\rm{V}}} - {\rm{nR}}}}\)

\(\frac{{4{\rm{nR}}}}{{{{\rm{C}}_{\rm{V}}} - {\rm{nR}}}}\)

\(\frac{{4{\rm{nR}}}}{{{{\rm{C}}_{\rm{V}}} + {\rm{nR}}}}\)

90 + Mcqs in Kinetic Theory Gases in Engineering Physics Page 1 McqOptions

1.	The degree of freedom of a triatomic gas is?
A.	1
B.	2
C.	6
D.	8
Answer» D. 8

Discussion

2.	Statement: The root mean square and most probable speeds of the molecules in a gas is symmetrical.Reason: The Maxwell distribution for the speed to molecules in a gas is symmetrical.
A.	Both statement and reason are true and the reason is the correct explanation of the statement
B.	Both statement and reason are true but the reason is not a correct explanation of the statement
C.	Statement it true but the reason is false
D.	Both statement and reason are false
Answer» E.

Discussion

3.	A bulb contains one mole of hydrogen mixed with one mole of oxygen at temperature T. The ratio of rms values of velocity of hydrogen molecules to that of oxygen molecules is?
A.	1:16
B.	1:4
C.	4:1
D.	16:1
Answer» D. 16:1

Discussion

4.	The temperature of gas is held constant, while its volume is decreased. The pressure exerted by the gas on the wall of the container increases, because of its molecules ___________
A.	Strike the walls with higher velocities
B.	Strike the walls with large farce
C.	Strike the walls more frequently
D.	Are in contact with the walls for a shorter time
Answer» D. Are in contact with the walls for a shorter time

Discussion

5.	A gas behaves as an ideal gas at ___________
A.	Low pressure and high temperature
B.	Low pressure and low temperature
C.	High pressure and low temperature
D.	High pressure and high temperature
Answer» B. Low pressure and low temperature

Discussion

6.	For Boyle’s law to hold good, the gas should be ___________
A.	Perfect and of constant mass and temperature
B.	Real and of constant mass and temperature
C.	Perfect and at constant temperature but variable mass
D.	Real and at constant temperature but variable mass
Answer» B. Real and of constant mass and temperature

Discussion

7.	At Boyle’s temperature?
A.	Joule’s effect is positive
B.	Van der Waal’s equation becomes zero
C.	Gases obey Boyle’s law
D.	Water solidifies
Answer» D. Water solidifies

Discussion

8.	Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will ___________
A.	Increase
B.	Decrease
C.	Remain the same
D.	Decreases for some, while the increase for others
Answer» D. Decreases for some, while the increase for others

Discussion

9.	The ration of the speed of sound in nitrogen gas to that in helium gas, at 300 K is?
A.	√(2/7)
B.	√(1/7)
C.	√3/5
D.	√6/5
Answer» D. √6/5

Discussion

10.	On which factor does the average kinetic energy of gas molecules depend?
A.	Nature of the gas
B.	Temperature
C.	Volume
D.	Mass
Answer» C. Volume

Discussion

11.	For an ideal gas 'αv' (coefficient of volume expansion) is equal to?
A.	1/P
B.	1/T
C.	1/V
D.	V/T
Answer» C. 1/V

Discussion

12.	A sample of gas at 0°C. To what temperature must it be raised in order to double the r.m.s speed of molecules:
A.	273°C
B.	1092°C
C.	819°C
D.	100°C
Answer» D. 100°C

Discussion

13.	At the same temperature what is the ratio of the r.m.s. velocities of two gases of molecular masses 18 and 2?
A.	1 : 3
B.	1 : 9
C.	6 : 1
D.	1 : 81
Answer» B. 1 : 9

Discussion

14.	In the relation from Kinetic theory of gases, "PV = (1 / 3)nMv2", if 'n' is number of moles of the gas then 'M' stands for ________.
A.	molecular mass
B.	mass of the particle
C.	mass of the gas
D.	number of moles of the gas
Answer» B. mass of the particle

Discussion

15.	A mono atomic molecule free to move in space has how many translational degrees of freedom?
A.	three
B.	two
C.	one
D.	five
Answer» B. two

Discussion

16.	If we plot a graph between volume V and the inverse of pressure P (i.e., 1/P) for an ideal gas at constant temperature T, the curve so obtained is
A.	straight line
B.	circle
C.	parabola
D.	hyperbola
Answer» B. circle

Discussion

17.	A stainless steel chamber contains Ar gas at a temperature T and pressure P. The total number of Ar atoms in the chamber is n. Now Ar gas in the chamber is replaced by CO2 gas and the total number of CO2 molecules in the chamber is n/2 at the same temperature T. The pressure in the chamber now is P’. Which one of the following relations holds true? (Both the gases behave as ideal gases)
A.	P’ = P
B.	P’ = 2P
C.	P’ = P/2
D.	P’ = P/4
Answer» D. P’ = P/4

Discussion

18.	By what percent should the pressure of a gas be increased so as to decrease its volume by 20%, at constant temperature?
A.	20%
B.	16%
C.	25%
D.	40%
Answer» D. 40%

Discussion

19.	If ΔQ stands for the amount of heat absorbed or rejected by a substance of 'μ' moles when it undergoes a temperature change ΔT, then ΔQ/(μΔT) is equal to____________.
A.	specific heat capacity
B.	heat capacity
C.	molar specific heat capacity
D.	molar heat capacity
Answer» D. molar heat capacity

Discussion

20.	In a gas, the expression for the average speed of molecule is given by
A.	\(\sqrt {\frac{{3kT}}{m}} \)
B.	\(\sqrt {\frac{{2kT}}{m}} \)
C.	\(\sqrt {\frac{{8kT}}{m}} \)
D.	\(\sqrt {\frac{{3kT}}{{2m}}} \)
Answer» D. \(\sqrt {\frac{{3kT}}{{2m}}} \)

Discussion

21.	If a molecule of mass 'm' and with x-component of velocity 'vx' collides elastically with a wall of a container then the change in momentum of the molecule is _____________.
A.	2mvx
B.	-mvx
C.	-2mvx
D.	mvx
Answer» D. mvx

Discussion

22.	For a polyatomic gas which has 'f' vibrational modes, what is 'Cv' equal to? ('Cv' is molar specific heat at constant volume)
A.	(4 + f)R
B.	(5 + f)R
C.	(3 + f)R
D.	(2 + f)R
Answer» D. (2 + f)R

Discussion

23.	If the gas particles are of diameter d, average speed v, number of particles per unit volume n, then the term nΠd2v represents?
A.	the volume a particle sweeps in time t
B.	the time between two successive collisions on average
C.	the rate of collisions in time t
D.	the average distance between two successive collisions, also called the mean free path
Answer» D. the average distance between two successive collisions, also called the mean free path

Discussion

24.	If the gas particles are of diameter 'd', average speed 'v', number of particles per unit volume 'n', then what is the term "Πd2vt" represents?
A.	the rate of collisions in time 't'
B.	the time between two successive collisions on average
C.	the volume a particle sweeps in time 't'
D.	the average distance between two successive collisions also called the mean free path
Answer» D. the average distance between two successive collisions also called the mean free path

Discussion

25.	If the gas particles are of diameter 'd', average speed 'v', number of particles per unit volume 'n', then the time between two successive collisions on average is __________.
A.	1 / (n2Πdv)
B.	1 / (nΠ2dv)
C.	1 / (nΠdv2)
D.	1 / (nΠd2v)
Answer» E.

Discussion

26.	If the diatomic molecule is not rigid but has in addition a vibrational mode, then the total internal energy of a mole of such a gas is?
A.	7RT/2
B.	5RT/2
C.	3RT/2
D.	RT/2
Answer» B. 5RT/2

Discussion

27.	In the relation from Kinetic theory of gases, PV = (1/3)nMv2, if 'M' is molecular mass then 'n' is ________.
A.	number of particles
B.	number of moles of the gas
C.	Avogadro's number
D.	number of collisions per unit volume
Answer» C. Avogadro's number

Discussion

28.	If a diatomic molecule is not rigid but has in addition a vibrational mode then what is its 'Cv' equal to? ('Cv' is molar specific heat at constant volume)
A.	5R/2
B.	3R/2
C.	7R/2
D.	9R/2
Answer» D. 9R/2

Discussion

29.	If the gas particles are of diameter 'd', average speed 'v', number of particles per unit volume 'n', then the volume a particle sweeps in time 't' is?
A.	Пd2vt
B.	Пv2td
C.	Пt2vd
D.	П2tvd
Answer» B. Пv2td

Discussion

30.	At an absolute temperature T, the mean kinetic energy of a molecule in a 3 dimensional space is given by
A.	E = (1/2) kT
B.	E = kT
C.	E = (3/2) kT
D.	E = (5/2) kT
Answer» D. E = (5/2) kT

Discussion

31.	If the gas particles are of diameter 'd', average speed 'v', number of particles per unit volume 'n', then the rate of collisions in time 't' is ____________.
A.	n2Πdv
B.	nΠ2dv
C.	nΠd2v
D.	nΠdv2
Answer» D. nΠdv2

Discussion

32.	One mole of an ideal gas passes through a process where pressure and volume obey the relation\({\rm{P}} = {{\rm{P}}_0}\left[ {1 - \frac{1}{2}{{\left( {\frac{{{{\rm{V}}_0}}}{{\rm{V}}}} \right)}^2}} \right]\) Here P0 and V0 are constants. Calculate the change in the temperature of the gas if its volume changes from V0 to 2V0
A.	\(\frac{1}{2}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}{\rm{\;}}\)
B.	\(\frac{5}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)
C.	\(\frac{3}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)
D.	\(\frac{1}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)
Answer» C. \(\frac{3}{4}\frac{{{{\rm{P}}_0}{{\rm{V}}_0}}}{{\rm{R}}}\)

Discussion

33.	If the ideal gas equation is written as PV = kBNT, where N is number of molecules, then kB represents?
A.	Gas Constant
B.	Bohr radius
C.	Boltzmann constant
D.	B-Factor
Answer» D. B-Factor

Discussion

34.	A monoatomic molecule constrained to move in a plane has ___________ translational degrees of freedom.
A.	three
B.	zero
C.	two
D.	one
Answer» D. one

Discussion

35.	A vertical closed cylinder is separated into two parts by a frictionless piston of mass m and of negligible thickness. The piston is free to move along the length of the cylinder. The length of the cylinder above the piston is l1 and that below the piston is l2, such that l1 > l2. Each part of the cylinder contains n moles of an ideal gas at equal temperature T. If the piston is stationary, its mass m, will be given by (where, R is universal gas constant and g is the acceleration due to gravity)
A.	\(\;\frac{{{\rm{nRT}}}}{{\rm{g}}}\left[ {\frac{{{{\rm{l}}_1} - {{\rm{l}}_2}}}{{{{\rm{L}}_1}{{\rm{l}}_2}}}} \right]\)
B.	\({\rm{\;}}\frac{{{\rm{nRT}}}}{{\rm{g}}}\left[ {\frac{1}{{{{\rm{l}}_2}}} + \frac{1}{{{{\rm{l}}_1}}}} \right]\)
C.	\({\rm{\;}}\frac{{{\rm{RT}}}}{{\rm{g}}}\left[ {\frac{{2{\rm{l}} + {{\rm{l}}_2}}}{{{{\rm{l}}_1}{{\rm{l}}_2}}}} \right]\)
D.	\({\rm{\;}}\frac{{{\rm{RT}}}}{{{\rm{ng}}}}\left[ {\frac{{{\rm{h}} - 3{{\rm{l}}_2}}}{{{{\rm{l}}_1}{{\rm{l}}_2}}}} \right]\)
Answer» B. \({\rm{\;}}\frac{{{\rm{nRT}}}}{{\rm{g}}}\left[ {\frac{1}{{{{\rm{l}}_2}}} + \frac{1}{{{{\rm{l}}_1}}}} \right]\)

Discussion

36.	If the density of a gas at a pressure of 105 Pa is 4.8 kg/m3, then what will be its r.m.s. velocity (in m/s)?
A.	480
B.	250
C.	125
D.	750
Answer» C. 125

Discussion

37.	If the density of a gas at a pressure of 6 × 105 Pa is 5 kg/m3, then what will be r.m.s. velocity (in m/s) of its molecules?
A.	600
B.	360
C.	300
D.	180
Answer» C. 300

Discussion

38.	According to the kinetic theory of gasses, the absolute zero temperature is attained because of:
A.	Kinetic energy of molecules is zero
B.	Pressure of gas is zero
C.	Volume of gas is zero
D.	Specific heat of gas is zero
Answer» B. Pressure of gas is zero

Discussion

39.	If the translational kinetic energy of the molecules in a gas is 'E', then the relationship between, its Pressure, Volume and 'E' is _________.
A.	PV = 3 E/2
B.	PV = 4E/3
C.	PV = 2E/3
D.	PV = 3E/4
Answer» D. PV = 3E/4

Discussion

40.	An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature, 300 K. The mean time between two successive collisions is 6 × 10-8 s. If the pressure is doubled and temperature is increased to 500 K, the mean time between two successive collisions will be close to
A.	4 × 10-8 s
B.	3 × 10-6 s
C.	2 × 10-7 s
D.	0.5 × 10-8 s
Answer» B. 3 × 10-6 s

Discussion

41.	A particle undergoing simple harmonic motion has time dependent displacement given by \(x\left( t \right) = A\sin \left( {\frac{{\pi t}}{{90}}} \right)\). The ratio of kinetic to potential energy of this particle at t = 210 s will be
A.	2
B.	1
C.	\(\frac{1}{9}\)
D.	1/3
Answer» E.

Discussion

42.	If a molecule of mass 'm' and with x-component of velocity 'vx' collides elastically with a wall of a container then the momentum imparted to the wall inthe collision is _____________.
A.	-2mvx
B.	-mvx
C.	2mvx
D.	mvx
Answer» D. mvx

Discussion

43.	If the diatomic molecule is not rigid but has in addition a vibrational mode, then the molar specific heat at constant pressure for the diatomic gas is _____________.
A.	7R/2
B.	3R/2
C.	9R/2
D.	5R/2
Answer» D. 5R/2

Discussion

44.	A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume for this process is TVx = constant, then x is
A.	2/5
B.	2/3
C.	5/3
D.	3/5
Answer» B. 2/3

Discussion

45.	In equilibrium, the total energy is equally distributed in all possible energy modes for a molecule, with each mode having an average energy equal to?
A.	kBT/2
B.	k BT
C.	2kBT
D.	kBT/4
Answer» B. k BT

Discussion

46.	Each translational and rotational degree of freedom of a molecule contributes _________ to the energy of a molecule.
A.	kBT
B.	2kBT
C.	kBT/2
D.	kBT/4
Answer» D. kBT/4

Discussion

47.	In the ideal gas equation, PV = μRT, μ is the _____________ of the gas.
A.	density
B.	viscosity
C.	thermal coefficient of volume expansion
D.	number of moles
Answer» E.

Discussion

48.	A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let rp, re and rHe be their respective radii, then,
A.	re > rp = rHe
B.	re < rp = rHe
C.	re < rp < rHe
D.	re > rp > rHe
Answer» C. re < rp < rHe

Discussion

49.	For an adiabatic process of an ideal gas, P × Vγ = constant. Here, γ = ___________.
A.	Efficiency of the process
B.	Cv/Cp
C.	coefficient of performance
D.	Cp/Cv
Answer» E.

Discussion

50.	n moles of an ideal gas with constant volume heat capacity Cv undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is:
A.	\(\frac{{{\rm{nR}}}}{{{{\rm{C}}_{\rm{V}}} + {\rm{nR}}}}\)
B.	\(\frac{{{\rm{nR}}}}{{{{\rm{C}}_{\rm{V}}} - {\rm{nR}}}}\)
C.	\(\frac{{4{\rm{nR}}}}{{{{\rm{C}}_{\rm{V}}} - {\rm{nR}}}}\)
D.	\(\frac{{4{\rm{nR}}}}{{{{\rm{C}}_{\rm{V}}} + {\rm{nR}}}}\)
Answer» B. \(\frac{{{\rm{nR}}}}{{{{\rm{C}}_{\rm{V}}} - {\rm{nR}}}}\)

Discussion

Explore topic-wise MCQs in Engineering Physics.

The degree of freedom of a triatomic gas is?

Statement: The root mean square and most probable speeds of the molecules in a gas is symmetrical.Reason: The Maxwell distribution for the speed to molecules in a gas is symmetrical.

A bulb contains one mole of hydrogen mixed with one mole of oxygen at temperature T. The ratio of rms values of velocity of hydrogen molecules to that of oxygen molecules is?

The temperature of gas is held constant, while its volume is decreased. The pressure exerted by the gas on the wall of the container increases, because of its molecules ___________

A gas behaves as an ideal gas at ___________

For Boyle’s law to hold good, the gas should be ___________

At Boyle’s temperature?

Cooking gas containers are kept in a lorry moving with uniform speed. The temperature of the gas molecules inside will ___________

The ration of the speed of sound in nitrogen gas to that in helium gas, at 300 K is?

On which factor does the average kinetic energy of gas molecules depend?

For an ideal gas 'αv' (coefficient of volume expansion) is equal to?

A sample of gas at 0°C. To what temperature must it be raised in order to double the r.m.s speed of molecules:

At the same temperature what is the ratio of the r.m.s. velocities of two gases of molecular masses 18 and 2?

In the relation from Kinetic theory of gases, "PV = (1 / 3)nMv2", if 'n' is number of moles of the gas then 'M' stands for ________.

A mono atomic molecule free to move in space has how many translational degrees of freedom?

If we plot a graph between volume V and the inverse of pressure P (i.e., 1/P) for an ideal gas at constant temperature T, the curve so obtained is

By what percent should the pressure of a gas be increased so as to decrease its volume by 20%, at constant temperature?

If ΔQ stands for the amount of heat absorbed or rejected by a substance of 'μ' moles when it undergoes a temperature change ΔT, then ΔQ/(μΔT) is equal to____________.

In a gas, the expression for the average speed of molecule is given by

If a molecule of mass 'm' and with x-component of velocity 'vx' collides elastically with a wall of a container then the change in momentum of the molecule is _____________.

For a polyatomic gas which has 'f' vibrational modes, what is 'Cv' equal to? ('Cv' is molar specific heat at constant volume)

If the gas particles are of diameter d, average speed v, number of particles per unit volume n, then the term nΠd2v represents?

If the gas particles are of diameter 'd', average speed 'v', number of particles per unit volume 'n', then what is the term "Πd2vt" represents?

If the gas particles are of diameter 'd', average speed 'v', number of particles per unit volume 'n', then the time between two successive collisions on average is __________.

If the diatomic molecule is not rigid but has in addition a vibrational mode, then the total internal energy of a mole of such a gas is?

In the relation from Kinetic theory of gases, PV = (1/3)nMv2, if 'M' is molecular mass then 'n' is ________.

If a diatomic molecule is not rigid but has in addition a vibrational mode then what is its 'Cv' equal to? ('Cv' is molar specific heat at constant volume)

If the gas particles are of diameter 'd', average speed 'v', number of particles per unit volume 'n', then the volume a particle sweeps in time 't' is?

At an absolute temperature T, the mean kinetic energy of a molecule in a 3 dimensional space is given by

If the gas particles are of diameter 'd', average speed 'v', number of particles per unit volume 'n', then the rate of collisions in time 't' is ____________.

If the ideal gas equation is written as PV = kBNT, where N is number of molecules, then kB represents?

A monoatomic molecule constrained to move in a plane has ___________ translational degrees of freedom.

If the density of a gas at a pressure of 105 Pa is 4.8 kg/m3, then what will be its r.m.s. velocity (in m/s)?

If the density of a gas at a pressure of 6 × 105 Pa is 5 kg/m3, then what will be r.m.s. velocity (in m/s) of its molecules?

According to the kinetic theory of gasses, the absolute zero temperature is attained because of:

If the translational kinetic energy of the molecules in a gas is 'E', then the relationship between, its Pressure, Volume and 'E' is _________.

An ideal gas is enclosed in a cylinder at pressure of 2 atm and temperature, 300 K. The mean time between two successive collisions is 6 × 10-8 s. If the pressure is doubled and temperature is increased to 500 K, the mean time between two successive collisions will be close to

A particle undergoing simple harmonic motion has time dependent displacement given by \(x\left( t \right) = A\sin \left( {\frac{{\pi t}}{{90}}} \right)\). The ratio of kinetic to potential energy of this particle at t = 210 s will be

If a molecule of mass 'm' and with x-component of velocity 'vx' collides elastically with a wall of a container then the momentum imparted to the wall inthe collision is _____________.

If the diatomic molecule is not rigid but has in addition a vibrational mode, then the molar specific heat at constant pressure for the diatomic gas is _____________.

A rigid diatomic ideal gas undergoes an adiabatic process at room temperature. The relation between temperature and volume for this process is TVx = constant, then x is

In equilibrium, the total energy is equally distributed in all possible energy modes for a molecule, with each mode having an average energy equal to?

Each translational and rotational degree of freedom of a molecule contributes _________ to the energy of a molecule.

In the ideal gas equation, PV = μRT, μ is the _____________ of the gas.

A proton, an electron, and a Helium nucleus, have the same energy. They are in circular orbits in a plane due to magnetic field perpendicular to the plane. Let rp, re and rHe be their respective radii, then,

For an adiabatic process of an ideal gas, P × Vγ = constant. Here, γ = ___________.

n moles of an ideal gas with constant volume heat capacity Cv undergo an isobaric expansion by certain volume. The ratio of the work done in the process, to the heat supplied is: