JEE PYQ Kinetic Theory of Gases - Chapter-wise Questions with Solutions

About Kinetic Theory of Gases PYQs

Kinetic Theory of Gases has 383 previous year questions in the Quantrex Academy JEE Main & Advanced Physics bank. The 220 questions in this list come from JEE Main (166), Highly selective Backlog Qs for JEE Main (20), 99 Percentile Qs Bank for JEE Main (19) and 2 other sources, spanning 2002 to 2026. Each question opens on its own page with the options, the correct answer and the worked solution where available.

JEE Kinetic Theory of Gases PYQs with Solutions

About Kinetic Theory of Gases PYQs

Questions by year (this list)

Kinetic Theory of Gases questions with solutions

If 2 mole of an ideal monoatomic gas at temperature T , is mixed with 6 mole of another ideal monoatomic gas at temperature 2T then the temperature of mixture is :

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Statement I: Change in internal energy of a system containing n mole of ideal

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R Assertion A: If the average kinetic energy of H_2 and O_2 molecules, kept in

One gas of n_1 mole of molecules at temperature T_1 , volume V_1 , and pressure P_1 , and another gas of n_2 mole of molecules at temperature T_2 , volume V_2 , and pressure P_2

A mixture of carbon dioxide and oxygen has volume 8310 cm ^3 , temperature 300 K, pressure 100 kPa and mass 13.2 g. The number of moles of carbon dioxide and oxygen gases in the

The mean free path of a molecule of diameter 5 × 10^ -10 ~m at the temperature 41^ ∘ C and pressure 1.38 × 10^ 5 ~Pa , is given as \_\_\_\_ m. (Given k_ B =1.38 × 10^ -23 ~J / K ).

A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature 50^ ∘ C . The gas is now heated to double its temperature. The modified pressure is

Consider two boxes containing ideal gases A and B such that their temperatures, pressures and number densities are same. The molecular size of A is half of that of B and mass of

The volume of an ideal gas increases 8 times and temperature becomes (1 / 4)^ th of initial temperature during a reversible change. If there is no exchange of heat in this process

A cylindrical tube A B of length l , closed at both ends contains an ideal gas of 1 mol having molecular weight M . The tube is rotated in a horizontal plane with constant angular

The r.m.s. speed of oxygen molecules at 47^ ∘ C is equal to that of the hydrogen molecules kept at \_\_\_\_ ^ ∘ C . (Mass of oxygen molecule/mass of hydrogen molecule =32 / 2 )

The helium and argon are put in the flask at the same room temperature ( 300 K). The ratio of average kinetic energies (per molecule) of helium and argon is : (Give : Molar mass

Match the List-I with List-II array |l|l|l|l| & -I & & -II A. & Triatomic rigid gas & I. & C_ P C_ V =(5)/(3) B. & array l Diatomic non-rigid gas array & II. & C_ P C_ V =(7)/(5)

The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are 3 × 10^ -7 ~m and 600 ~m / s respectively. Find the frequency of its collisions.

γ_ A is the specific heat ratio of monoatomic gas A having 3 translational degrees of freedom. γ_B is the specific heat ratio of polyatomic gas B having 3 translational, 3

The kinetic energy of translation of the molecules in 50 g of CO_2 gas at 17^ ∘ C is

The ratio of vapour densities of two gases at the same temperature is (4)/(25) , then the ratio of r.m.s. velocities will be:

For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?

The temperature of a gas is -78^ ∘ C and the average translational kinetic energy of its molecules is K . The temperature at which the average translational kinetic energy of the

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

A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept at room temperature (27^ ∘ C) . The ratio of specific heat of gases at constant volume

Energy of 10 non rigid diatomic molecules at temperature T is :

A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed of helium and oxygen in the sample, is:

The specific heat at constant pressure of a real gas obeying P V^2=R T equation is:

During an adiabatic process, if the pressure of a gas is found to be proportional to the cube of its absolute temperature, then the ratio of C_ P C_ V for the gas is :

If n is the number density and d is the diameter of the molecule, then the average distance covered by a molecule between two successive collisions (i.e. mean free path) is

If the collision frequency of hydrogen molecules in a closed chamber at 27^ ∘ C is Z , then the collision frequency of the same system at 127^ ∘ C is :

The translational degrees of freedom (f_t) and rotational degrees of freedom (f_r) of CH_4 molecule are:

If the root mean square velocity of hydrogen molecule at a given temperature and pressure is 2km s ^ - 1 , the root mean square velocity of oxygen at the same condition in km s ^

Two moles of a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific heat of the mixture at constant volume is :

A gas mixture consists of 8 moles of argon and 6 moles of oxygen at temperature T . Neglecting all vibrational modes, the total internal energy of the system is

The parameter that remains the same for molecules of all gases at a given temperature is :

If three moles of monoatomic gas (γ = (5)/(3)) is mixed with two moles of a diatomic gas (γ = (7)/(5)) , the value of adiabatic exponent γ for the mixture is:

At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at 47 ° C ?

Two thermodynamical process are shown in the figure. The molar heat capacity for process A and B are C _ A and C _ B . The molar heat capacity at constant pressure and constant

The temperature of a gas having 2 . 0 × 10 ^ 25 molecules per cubic meter at 1 . 38atm (Given, k = 1 . 38 × 10 ^ - 23 J K ^ - 1 ) is :

N moles of a polyatomic gas ( f = 6 ) must be mixed with two moles of a monoatomic gas so that the mixture behaves as a diatomic gas. The value of N is:

Two vessels A and B are of the same size and are at same temperature. A contains 1g of hydrogen and B contains 1g of oxygen. P _ A and P _ B are the pressures of the gases in A

The total kinetic energy of 1 mole of oxygen at 27 ° C is : [Use universal gas constant ( R ) = 8 . 31J mol ^ - 1 K ^ - 1 ]

The average kinetic energy of a monatomic molecule is 0 . 414eV at temperature: (Use K _ B = 1 . 38 × 10 ^ - 23 J mol ^ - 1 K ^ - 1 )

A flask contains Hydrogen and Argon in the ratio 2: 1 by mass. The temperature of the mixture is 30 ° C . The ratio of average kinetic energy per molecule of the two gases ( K _

The mean free path of molecules of a certain gas at STP is 1500d , where d is the diameter of the gas molecules. While maintaining the standard pressure, the mean free path of the

The rms speed of oxygen molecule in a vessel at particular temperature is (1 + (5)/(x))(1)/(2)v, when v is the average speed of the molecule. The value of x will be: (take π =

If the r.m.s speed of chlorine molecule is 490m s ^ - 1 at 27 ^ o C , the r.m.s speed of argon molecules at the same temperature will be (Atomic mass of argon = 39 . 9u

The root mean square speed of molecules of nitrogen gas at 27 ° C is approximately: (Given mass of a nitrogen molecule = 4 . 6 × 10 ^ - 26 kg and take Boltzmann constant k _ B = 1

Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains chlorine (diatomic) and third

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:

Match List I with List II: List I List II (A) 3 Translational degrees of freedom (I) Monoatomic gases (B) 3 Translational, 2 rotational degrees of freedoms (II) Polyatomic gases

The temperature at which the kinetic energy of oxygen molecules becomes double than its value at 27 ° C is

The temperature of an ideal gas is increased from 200K to 800K . If r.m.s. speed of gas at 200K is v _ 0 . Then, r.m.s. speed of the gas at 800K will be:

The number of air molecules per cm ^ 3 is increased from 3 × 10 ^ 19 to 12 × 10 ^ 19 . The ratio of collision frequency of air molecules before and after the increase in number

The average kinetic energy of a molecule of the gas is

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 :

The pressure ( P ) and temperature ( T ) relationship of an ideal gas obeys the equation P T ^ 2 = constant. The volume expansion coefficient of the gas will be :

At 300K , the rms speed of oxygen molecules is (α + 5)/(α) times to that of its average speed in the gas. Then, the value of α will be (use π = (22)/(7) )

The root mean square velocity of molecules of gas is

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.

The root mean square speed of smoke particles of mass 5 × 10 ^ - 17 kg in their Brownian motion in air at NTP is approximately. [Given k = 1 . 38 × 10 ^ - 23 J K ^ - 1 ]

One mole of a monoatomic gas is mixed with three moles of a diatomic gas. The molecular specific heat of mixture at constant volume is α ^ 2 4 RJmol K ^ - 1 ; then the value of α

A vessel contains 14g of nitrogen gas at a temperature of 27 ° C . The amount of heat to be transferred to the gas to double the r.m.s. speed of its molecules will be : (Take R =

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

Which statements are correct about degrees of freedom? A. A molecule with n degrees of freedom has n ^ 2 different ways of storing energy. B. Each degree of freedom is associated

Same gas is filled in two vessels of the same volume at the same temperature. If the ratio of the number of molecules is 1: 4 , then A . The r.m.s. velocity of gas molecules in

A gas has n degrees of freedom. The ratio of specific heat of gas at constant volume to the specific heat of gas at constant pressure will be

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

A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and pressure. The volume of the vessel in cm ^ 3 is :

What will be the effect on the root mean square velocity of oxygen molecules if the temperature is doubled and oxygen molecule dissociates into atomic oxygen?

According to kinetic theory of gases, A. The motion of the gas molecules freezes at 0 ° C . B. The mean free path of gas molecules decreases if the density of molecules is

A mixture of hydrogen and oxygen has volume 2000 cm ^ 3 , temperature 300K , pressure 100kPa and mass 0 . 76g . The ratio of number of moles of hydrogen to number of moles of

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

The ratio of specific heats ( C _ P C _ V ) in terms of degree of freedom (f) is given by :

When a gas filled in a closed vessel is heated by raising the temperature by 1 ° C , its pressure increases by 0 . 4 % The initial temperature of the gas is _____ K .

The relation between root mean square speed ( v _ rms ) and most probable speed ( v _ p ) for the molar mass M of oxygen gas molecule at the temperature of 300K will be

A monoatomic gas performs a work of (Q)/(4) where Q is the heat supplied to it. The molar heat capacity of the gas will be _____ R during this transformation. Where R is the gas

0 . 056kg of Nitrogen is enclosed in a vessel at a temperature of 127 ° C . The amount of heat required to double the speed of its molecules is_____ kcal . (Take R = 2calmole K

A uniform heating wire of resistance 36Ω is connected across a potential difference of 240V . The wire is then cut into half and a potential difference of 240V is applied across

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

In a dilute gas at pressure P and temperature ' t ', the time between successive collision of a molecule varies with T as :