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Kinetic Theory of Gases — NEET UG Physics PYQs

209 previous year questions from Kinetic Theory of Gases with answers and solutions. Numbered list, year tags, and one-tap solutions — built for serious JEE / NEET practice.

209 questionsPhysicsSolutions on every page
1

Pressure exerted by an ideal gas on the walls of the container is equal to a) mean kinetic energy per unit volume. b) half of mean kinetic energy per unit volume. c) one-third of m

MHT CET Medical 2026 Solution View → 2

Two litre of an ideal gas at 42^ C is heated at a constant pressure to 357^ C . Then the final volume is

MHT CET Medical 2026 Solution View → 3

The temperature at which the mean kinetic energy of the molecules of gas is ( 1 4 )^ th of the mean kinetic energy of its molecules at 147^ C is

MHT CET Medical 2026 Solution View → 4

There are two vessels A and B with rigid walls containing ideal gases. The pressure, temperature and volume are P_A , T_A and V in the vessel A and P_B , T_B and V in vessel B. The

MHT CET Medical 2026 Solution View → 5

The pressure P , volume V and temperature T of a gas in the jar A and the other gas in the jar B is at pressure 2P , volume V/4 and temperature 2T , then the ratio of the number of

MHT CET Medical 2026 Solution View → 6

The temperature at which the root-mean-square speed of carbon dioxide molecules becomes just sufficient for escaping Earth's atmosphere is approximately (Mass of carbon dioxide mol

MHT CET Medical 2026 Solution View → 7

If the ratio of specific heat of gas = C_p C_v , then the value of C_p in terms of and gas constant R is

MHT CET Medical 2026 Solution View → 8

The internal energy per molecule for a diatomic (non-rigid) gas is (where k_B is Boltzmann's constant and T is absolute temperature).

MHT CET Medical 2026 Solution View → 9

According to law of equi-partition of energy the molar specific heat of a rigid diatomic gas at constant pressure is

MHT CET Medical 2026 Solution View → 10

Statement I- The kinetic energy per molecule of the gas is equal to 3 2 k_B T . k_B = Boltzmann constant, T = absolute temperature of the gas Statement II- For the ideal gas with t

MHT CET Medical 2026 Solution View → 11

The total internal energy of one mole of HCl molecule is (assume the molecule to be non-rigid)

MHT CET Medical 2026 Solution View → 12

If the pressure of the gas is kept constant, then the mean free path ( ) of a gas varies with temperature ( T ) according to relation

MHT CET Medical 2026 Solution View → 13

The Translational K.E. of the molecules of a gas at absolute temperature (T) can be doubled by

MHT CET Medical 2026 Solution View → 14

Two identical vessels are completely filled with two ideal gases A and B. If the ratio of mass of gas A to that of gas B is 1:2 and the ratio of rms speed of molecules of gas A to

MHT CET Medical 2026 Solution View → 15

For a rigid diatomic molecule, universal gas constant R = n C_p where ' C_p ' is the molar specific heat at constant pressure. The value of fractional number ' n ' is

MHT CET Medical 2026 Solution View → 16

If a non-linear polyatomic gas has f vibrational nodes, the value of = C_p/C_v is ( C_p and C_v are specific heats at constant pressure and volume respectively)

MHT CET Medical 2026 Solution View → 17

A vessel is filled with a gas at a pressure of 76 cm of mercury at a certain temperature. The mass of the gas is increased by 75 % by introducing more gas in the vessel at the same

MHT CET Medical 2026 Solution View → 18

C_p and C_v are the specific heats at constant pressure and constant volume respectively. It is observed that C_p - C_v = a for hydrogen gas and C_p - C_v = b for carbon dioxide ga

MHT CET Medical 2026 Solution View → 19

The mean free path of molecules in an ideal gas A is half that of another ideal gas B. The diameter of the spherical molecules of gas A is twice the diameter of the molecules of B.

NEET 2026 Solution View → 20

An ideal gas is made of polyatomic molecules. Each of the molecules has three translational, three rotational and f number of vibrational modes. If the ratio of heat capacities C_P

NEET 2026 Solution View → 21

A flask contains argon and chlorine in the ratio of 2:1 by mass. The temperature of the mixture is 27^ C. The ratio of root mean square speed of the molecules of the two gases ( v_

NEET 2026 Solution View → 22

An oxygen cylinder of volume 30 litre has 18.20 moles of oxygen. After some oxygen is withdrawn from the cylinder, its gauge pressure drops to 11 atmospheric pressure at temperatur

NEET 2025 Solution View → 23

The following graph represents the T - V curves of an ideal gas (where T is the temperature and V the volume) at three pressures P₁, P₂ and P₃ compared with those of Charles's law

NEET 2024 Solution View → 24

According to the law of equipartition of energy, the number of vibrational modes of a polyatomic gas of constant = C_p C_v is ( C_P where C_v are the specific heat capacities of th

NEET 2024 Solution View → 25

The temperature of a gas is - 50   ° C . To what temperature the gas should be heated so that the rms speed is increased by 3 times?

NEET 2023 Solution View → 26

The volume occupied by the molecules contained in 4 . 5   kg water at STP, if the intermolecular forces vanish away is

NEET 2022 Solution View → 27

Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains helium (monoatomic), the second contains fluorine (diatomic) and the thir

NEET 2022 Solution View → 28

Match Column - I and Column - II and choose the correct match from the given choices. Column - I Column - II (A) Root mean square speed of gas molecules   ( P ) 1 3 n m v 2 (B

NEET 2021 Solution View → 29

An ideal gas equation can be written as, P = ρ R T M 0 where ρ and M 0 are respectively,

NEET 2020 Solution View → 30

A cylinder contains hydrogen gas at pressure of 249   kPa and temperature 27 o C . Its density is: R = 8 .3   JK   Mol − 1   K − 1

NEET 2020 Solution View → 31

The mean free path for a gas, with molecular diameter d and number density n can be expressed as:

NEET 2020 Solution View → 32

The average thermal energy for a mono-atomic gas is : ( k B is Boltzmann constant and T , absolute temperature)

NEET 2020 Solution View → 33

The mean free path l for a gas molecule depends upon diameter, d of the molecule as:

NEET 2020 Solution View → 34

The value of (= C_p C_V ) for hydrogen, helium and another ideal diatomic gas X (whose molecules are not rigid but have an additional vibrational mode), are respectively equal to

NEET 2019 Solution View → 35

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

NEET 2019 Solution View → 36

If 7 ~g ~N ₂ is mixed with 20 ~g Ar then C_P / C_V of the mixture will be

NEET 2019 Solution View → 37

Assertion : Equal masses of helium and oxygen gases are given equal quantities of heat. The rise in temperature of helium is greater than that in the case of oxygen. Reason: The mo

NEET 2019 Solution View → 38

At what temperature will the rms speed of oxygen molecules becomes just sufficient for escaping from the Earth's atmosphere? (Given Mass of oxygen molecules m = 2.76 × 10

NEET 2018 Solution View → 39

If n mole of a gas changes its temperature from T₁ to T₂ at pressure P . If C_P is given of the gas what is change in entropy?

NEET 2018 Solution View → 40

A closed vessel explodes at 15 ~atm pressure. If temperature of the vessel is 300 ~K at 10 ~atm pressure then find at what temperature will vessel explodes

NEET 2018 Solution View → 41

Assertion : The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume. Reason : The molecu

NEET 2018 Solution View → 42

A graph between pressure P (along y -axis) and absolute temperature, T (along x -axis) for equal moles of two gases has been drawn. Given that volume of second gas is more than vol

JIPMER 2017 Solution View → 43

A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially, the p

JIPMER 2017 Solution View → 44

Two identical glass spheres filled with air are connected by a horizontal glass tube. The glass tube contains a pellet of mercury at its mid-point. Air in one sphere is at 0^ C and

JIPMER 2017 Solution View → 45

Mercury boils at 367^ C . However, mercury thermometers are made such that they can measure temperature upto 500^ C . This is done by

JIPMER 2017 Solution View → 46

Two chambers containing m₁ ~g and m₂ ~g of a gas at pressures P₁ and P₂ respectively are put in communication with each other, temperature remaining constant. The common pressure r

NEET 2017 Solution View → 47

A cylindrical tube of uniform cross-sectional area A is fitted with two air tight frictionless pistons. The pistons are connected to each other by a metallic wire. Initially, the p

NEET 2017 Solution View → 48

Mercury boils at 367^ C . However, mercury thermometers are made such that they can measure temperature upto 500^ C . This is done by

NEET 2017 Solution View → 49

Two identical glass spheres filled with air are connected by a horizontal glass tube. The glass tube contains a pellet of mercury at its mid-point. Air in one sphere is at 0^ C and

NEET 2017 Solution View → 50

A graph between pressure P (along y -axis) and absolute temperature, T (along x -axis) for equal moles of two gases has been drawn. Given that volume of second gas is more than vol

NEET 2017 Solution View → 51

The temperature of a gas is raised from 27^ C to 927^ C . The root mean square speed

JIPMER 2016 Solution View → 52

One mole of a monoatomic ideal gas undergoes the process A B in the given p-V diagram. The molar heat capacity for this process is

JIPMER 2016 Solution View → 53

Two different isotherms representing the relationship between pressure p and volume V at a given temperature of the same ideal gas are shown for masses m₁ and m₂ , then

JIPMER 2016 Solution View → 54

The molecules of a given mass of gas have RMS velocity of 200 m  s - 1 at 27 o C and 1.0 × 10 5   N  m - 2 pressure. When the temperature and pressure of the ga

NEET 2016 Solution View → 55

One mole of a monoatomic ideal gas undergoes the process A B in the given p-V diagram. The molar heat capacity for this process is

NEET 2016 Solution View → 56

The temperature of a gas is raised from 27^ C to 927^ C . The root mean square speed

NEET 2016 Solution View → 57

Two different isotherms representing the relationship between pressure p and volume V at a given temperature of the same ideal gas are shown for masses m₁ and m₂ , then

NEET 2016 Solution View → 58

The rms speed (in m / s ) of oxygen molecules of the gas at temperature 300 K , is

JIPMER 2015 Solution View → 59

A horizontal tube of length l closed at both ends, contains an ideal gas of molecular weight M . The tube is rotated at a constant angular velocity about a vertical axis passing th

JIPMER 2015 Solution View → 60

4.0   g of a gas occupies 22.4 liters at NTP. The specific heat capacity of the gas at constant volume is 5.0   J   K - 1   m o l - 1 . If the speed of sound i

NEET 2015 Solution View → 61

The ratio of the specific heats C P C v =   γ in terms of degrees of freedom (n) is given by:

NEET 2015 Solution View → 62

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

NEET 2015 Solution View → 63

1 mole of H ₂ gas is contained in a box of volume V=1.00 ~m ^3 at T=300 ~K . The gas is heated to a temperature of T=3000 ~K and the gas gets converted to a gas of hydrogen atoms.

NEET 2015 Solution View → 64

The rms speed (in m / s ) of oxygen molecules of the gas at temperature 300 K , is

NEET 2015 Solution View → 65

A horizontal tube of length l closed at both ends, contains an ideal gas of molecular weight M . The tube is rotated at a constant angular velocity about a vertical axis passing th

NEET 2015 Solution View → 66

The mean free path of molecules of a gas (radius ‘ r ’) is inversely proportional to:

NEET 2014 Solution View → 67

According to kinetic theory of gases, molecules of a gas behave like

NEET 2014 Solution View → 68

A balloon contains 500 ~m ^3 of helium at 27^ C and 1 atmosphere pressure. The volume of the helium at -3^ C temperature and 0.5 atmosphere pressure will be

JIPMER 2013 Solution View → 69

For a gas R C_v =0.67 . This gas is made up of molecules which are

JIPMER 2013 Solution View → 70

In a vessel, the gas is at pressure P , if the mass of all the molecules is halved of their speed is double, then the resultant pressure will be :

NEET 2013 Solution View → 71

During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its temperature. The ratio of C_p C_v for the gas is

NEET 2013 Solution View → 72

The amount of heat energy required to raise the temperature of 1 g of helium at NTP, from T₁ ~K to T₂ ~K is

NEET 2013 Solution View → 73

The molar specific heats of an ideal gas at constant pressure and volume are denoted by C_p and C_V respectively. If = C_p C_V and R is the universal gas constant, then C_V is equa

NEET 2013 Solution View → 74

In a cylinder their are 60 ~g Ne and 64 ~g O ₂ . If pressure of mixture of gases in cylinder is 30 bar then in this cylinder partial pressure of O ₂ is (in bar)

NEET 2013 Solution View → 75

A gas mixture contain one mole O ₂ gas and one mole He gas. Find the ratio of specific heat at constant pressure to that at constant volume of the gaseous mixture.

NEET 2013 Solution View → 76

The molar specific heats of an ideal gas at constant pressure and volume are denoted by C_P and C_V respectively. If = C_P C_V and R is the universal gas constant, then C_V is equa

NEET 2013 Solution View → 77

For a gas R C_v =0.67 . This gas is made up of molecules which are

NEET 2013 Solution View → 78

A balloon contains 500 ~m ^3 of helium at 27^ C and 1 atmosphere pressure. The volume of the helium at -3^ C temperature and 0.5 atmosphere pressure will be

NEET 2013 Solution View → 79

Degree of freedom for polyatomic gas

NEET 2012 Solution View → 80

Assertion : Vibrational energy of diatomic molecule corresponding to each degree of freedom is k_B T . Reason : For every molecule, vibrational degree of freedom is 2 .

NEET 2012 Solution View → 81

Pressure of an ideal gas is increased by keeping temperature constant. What is effect on kinetic energy of molecules?

JIPMER 2011 Solution View → 82

Assertion: C_P is always greater than C_V in gases. Reason : Work done at constant pressure is more than at constant volume.

NEET 2011 Solution View → 83

Pressure of an ideal gas is increased by keeping temperature constant. What is effect on kinetic energy of molecules?

NEET 2011 Solution View → 84

If C _ p and C _ V denote the specific heats (per unit mass) of an ideal gas of molecular weight M where R is the molar gas constant.

NEET 2010 Solution View → 85

A monoatomic gas at pressure p₁ and V₁ is compressed adiabatically to 1 8 th its original volume. What is the final pressure of the gas?

NEET 2010 Solution View → 86

Graph of specific heat at constant volume for a monoatomic gas is

NEET 2010 Solution View → 87

Mercury boils at 367^ C . However, mercury thermometers are made such that they can measure temperature upto 500^ C . This is done by

JIPMER 2009 Solution View → 88

Mercury boils at 367^ C . However, mercury thermometers are made such that they can measure temperature upto 500^ C . This is done by

NEET 2009 Solution View → 89

Pressure of an ideal gas is increased by keeping temperature constant. What is the effect on kinetic energy of molecules?

JIPMER 2008 Solution View → 90

At 10^ C the value of the density of a fixed mass of an ideal gas divided by its pressure is x . At 110^ C this ratio is

NEET 2008 Solution View → 91

At 10^ C the value of the density of a fixed mass of an ideal gas divided by its pressure is x . At 110^ C this ratio is

NEET 2008 Solution View → 92

A certain gas is taken to the five s t a t e s represented by dots in the graph. The plotted lines are isotherms. Order of the most probable speed (v_p ) of the molecules at these

NEET 2008 Solution View → 93

Pressure of an ideal gas is increased by keeping temperature constant. What is the effect on kinetic energy of molecules?

NEET 2008 Solution View → 94

The molar specific heat at constant pressure of an ideal gas is (7/2) R . The ratio of specific heat at constant pressure to that at constant volume is:

NEET 2006 Solution View → 95

Assertion : The root mean square and most probable speeds of the molecules in a gas are the same. Reason : The Maxwell distribution for the speed of molecules in a gas is symmetric

NEET 2006 Solution View → 96

When temperature of an ideal gas is increased from 27^ C to 227^ C , its rms speed is changed from 400 ~m / s to v_s . Then, v_s is

JIPMER 2005 Solution View → 97

When temperature of an ideal gas is increased from 27^ C to 227^ C , its rms speed is changed from 400 ~m / s to v_s . Then, v_s is

NEET 2005 Solution View → 98

A cylinder contains 10 kg of gas at pressure of 10^7 ~N / m ^2 . The quantity of gas taken out of the cylinder, if final pressure is 2.5 10^6 ~N / m ^2 will be (temperature of gas

JIPMER 2004 Solution View → 99

The kinetic energy of one molecule of a gas at normal temperature and pressure will be (k=8.31 ~J / mole K )

JIPMER 2004 Solution View → 100

The equation of state for 5 ~g of oxygen at a pressure P and temperature T , when occupying a volume V , will be: (where R is the gas constant)

NEET 2004 Solution View → 101

v_ r m s , v_ a v and v_ m p are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statement

NEET 2004 Solution View → 102

Assertion : The melting point of ice decreases with increase of pressure. Reason : Ice contracts on melting.

NEET 2004 Solution View → 103

A cylinder contains 10 kg of gas at pressure of 10^7 ~N / m ^2 . The quantity of gas taken out of the cylinder, if final pressure is 2.5 10^6 ~N / m ^2 will be (temperature of gas

NEET 2004 Solution View → 104

The kinetic energy of one molecule of a gas at normal temperature and pressure will be (k=8.31 ~J / mole K )

NEET 2004 Solution View → 105

Assertion : The size of a hydrogen balloon increases as it rises in air. Reason: The material of the balloon can be easily stretched.

NEET 2003 Solution View → 106

One mole of a monatomic ideal gas undergoes the process A B in the given p - V diagram. Specific heat capacity in the process is

NEET Solution View → 107

One mole of an ideal diatomic gas undergoes a process as shown in the figure. The molar specific heat of the gas in the process is

NEET Solution View → 108

The plot that depicts the behavior of the mean free time τ (time between two successive collisions) for the molecules of an ideal gas, as a function of temperature T , qualitativel

NEET Solution View → 109

One mole of ideal gas undergoes a linear process as shown in figure below. Its temperature expressed as a function of volume V is.

NEET Solution View → 110

An ideal gas undergoes a circular cycle centered at 4 ~atm , 4 lit as shown in the diagram. The maximum temperature attained in this process is close to

NEET Solution View → 111

Which one of the following represents correctly the variation of volume (V) of an ideal gas with temperature ( T ) under constant pressure conditions?

NEET Solution View → 112

Assertion (A) When an ideal gas is compressed adiabatically, its temperature and the average kinetic energy of the gas molecules increase. Reason (R) The kinetic energy increases b

NEET Solution View → 113

Statement I The total translational kinetic energy of all the molecules of a given mass of an ideal gas is 1.5 times the product of its pressure and its volume. Statement II The mo

NEET Solution View → 114

Given below are two statements: Statement I: In a diatomic molecule, the rotational energy at a given temperature obeys Maxwell's distribution. Statement II : In a diatomic molecul

NEET Solution View → 115

Given below are two statements: Statement I : The temperature of a gas is - 73 ° C . When the gas is heated to 527 ° C , the root mean square speed of the molecules is doubled. Sta

NEET Solution View → 116

Given below are two statements : Statement (I) : The mean free path of gas molecules is inversely proportional to square of molecular diameter. Statement (II) : Average kinetic ene

NEET Solution View → 117

Given below are two statements: Statement I : The average momentum of a molecule in a sample of an ideal gas depends on temperature. Statement II : The rms speed of oxygen molecule

NEET Solution View → 118

Given below are two statements: Statement-I : Gases are generally collected over water and therefore are moist. Statement-II : Pressure exerted by saturated water vapour is called

NEET Solution View → 119

Given below are two statements: Statement-I : Boyle temperature of gas depends upon its nature. Statement-II : Above Boyle temperature real gases shows negative deviation from idea

NEET Solution View → 120

Given below are two statements; one is labelled as Assertion (A) and the other is labelled as Reason(R). Assertion (A): Gases do not liquify above their critical temperature even o

NEET Solution View →
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