Kinetic Theory of Gases — JEE Main PYQs & Practice Questions

Kinetic Theory of Gases is a Physics chapter in the JEE Main syllabus. This page brings together 145 previous-year and practice questions on Kinetic Theory of Gases, organised into 5 topics: Ideal Gas Equation, Kinetic Theory Assumptions, Mean Free Path, RMS, Average and Most Probable Speed and Degrees of Freedom and Equipartition. Most questions come with a step-by-step solution you can work through free in PrepWiser.

Download Kinetic Theory of Gases JEE Main PYQs as a free PDF (with answer key)

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Chapter weightage: how many questions each chapter had per shift in the 2024–26 papers.

Ideal Gas Equation

• A mixture of carbon dioxide and oxygen has volume 8310 cm³, temperature 300 K, pressure…
• A vessel contains 16g of hydrogen and 128g of oxygen at standard temperature and…
• A cylindrical container of volume 4.0 × 10⁻³ m³ contains one mole of hydrogen and two…
• An insulated cylinder of volume 60 cm³ is filled with a gas at 27°C and 2 atmospheric…
• The temperature of a gas having 2.0 × 10²⁵ molecules per cubic meter at 1.38 atm (Given…
• A closed vessel contains 0.1 mole of a monoatomic ideal gas at 200 K. If 0.05 mole of…
• The change in the magnitude of the volume of an ideal gas when a small additional…
• An ideal gas at pressure P and temperature T is expanding such that PT³= constant. The…
• Number of molecules in a volume of 4 cm³ of a perfect monoatomic gas at some temperature…
• A bicycle tyre is filled with air having pressure of 270 kPa at 27° C. The approximate…
• At STP, 1 mole of an ideal gas occupies 22.4 L. What volume (in L, to the nearest…
• The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric pressure…
• For a perfect gas, two pressures P₁ and P₂ are shown in figure. The graph shows :
• Two vessels A and B are of the same size and are at same temperature. A contains 1 g of…
• Two closed vessels of same volume are joined through a narrow tube and both vessels are…
• A mixture of hydrogen and oxygen has volume 2000 cm³, temperature 300 K, pressure 100…
• One gas of n₁ mole of molecules at temperature T₁, volume V₁, and pressure P₁, and…
• A container is divided into two chambers by a partition. The volume of first chamber is…
• There are two vessels filled with an ideal gas where volume of one is double the volume…
• The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of…

Kinetic Theory Assumptions

• Given below are two statements: one is labelled as Assertion A and the other is labelled…
• On the basis of kinetic theory of gases, the gas exerts pressure because its molecules :
• In kinetic theory, collisions of molecules with the walls of the container are assumed…
• In the ideal gas model, intermolecular forces are assumed to be zero except during…
• In the kinetic theory of gases, gas molecules are treated as:

Mean Free Path

• In a dilute gas at pressure P and temperature T, the mean time between successive…
• An ideal gas in a closed container is slowly heated. As its temperature increases, which…
• A system consists of two types of gas molecules A and B having same number density 2 ×…
• Consider two boxes containing ideal gases A and B such that their temperatures…
• According to kinetic theory of gases, A. The motion of the gas molecules freezes at 0°C…
• If n is the number density and d is the diameter of the molecule, then the average…
• The mean free path of molecules of a certain gas at STP is 1500 d, where d is the…
• The mean free path increases as the number density of gas molecules decreases.
• The mean free path and the average speed of oxygen molecules at 300 K and 1 atm are 3 ×…
• Two gases-argon (atomic radius 0.07 nm, atomic weight 40) and xenon (atomic radius 0.1…
• The mean free path of a molecule of diameter 5× 10⁻¹⁰ m at the temperature 41°C and…
• Given below are two statements : Statement (I) : The mean free path of gas molecules is…
• The mean free path of a gas molecule depends on:
• If the collision frequency of hydrogen molecules in a closed chamber at 27° C is Z, then…
• Under an adiabatic process, the volume of an ideal gas gets doubled. Consequently the…
• The plot that depicts the behavior of the mean free time t (time between two successive…
• The formula for the mean free path λ in an ideal gas (number density n, molecular…
• Calculate the value of mean free path (λ) for oxygen molecules at temperature 27°C and…
• The number of air molecules per cm³ increased from 3×10¹⁹ to 12×10¹⁹. The ratio of…

RMS, Average and Most Probable Speed

• What will be the effect on the root mean square velocity of oxygen molecules if the…
• Given below are two statements : Statement I : The average momentum of a molecule in a…
• A vessel contains 14 g of nitrogen gas at a temperature of 27° C. The amount of heat to…
• The rms speed of oxygen molecule in a vessel at particular temperature is (1+5/x)^(1/2)…
• Consider a mixture of gas molecule of types A, B and C having masses m A < m B < m C…
• A sample contains mixture of helium and oxygen gas. The ratio of root mean square speed…
• The temperature of an ideal gas is increased from 200 K to 800 K. If r.m.s. speed of gas…
• The root mean square velocity of molecules of gas is
• At 300 K, the rms speed of oxygen molecules is √((α + 5)/α) times to that of its average…
• If the root mean square velocity of hydrogen molecule at a given temperature and…
• For the same gas, the ratio of vᵣₘₛ at temperatures T and 4T is:
• Sound travels in a mixture of two moles of helium and n moles of hydrogen. If rms speed…
• If the r. m.s speed of chlorine molecule is 490 m / s at 27° C, the r. m. s speed of…
• The rms speeds of the molecules of Hydrogen, Oxygen and Carbon dioxide at the same…
• At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an…
• if the rms speed of oxygen molecules at 0°C is 160 m/s, find the rms speed of hydrogen…
• The root mean square speed of molecules of a given mass of a gas at 27°C and 1…
• For a particular ideal gas which of the following graphs represents the variation of…
• The ratio of vapour densities of two gases at the same temperature is 4/25 , then the…
• Given below are two statements : Statement I : The temperature of a gas is -73°C. When…

Degrees of Freedom and Equipartition

• The ratio of specific heats ( C_P/C_V ) in terms of degree of freedom (f) is given by :
• Two ideal polyatomic gases at temperatures T₁ and T₂ are mixed so that there is no loss…
• If one mole of the polyatomic gas is having two vibrational modes and β is the ratio of…
• Energy of 10 non rigid diatomic molecules at temperature T is :
• Two moles a monoatomic gas is mixed with six moles of a diatomic gas. The molar specific…
• Two moles of an ideal gas with C_P/C_V = 5/3 are mixed with 3 moles of another ideal gas…
• A gas has n degrees of freedom. The ratio of specific heat of gas at constant volume to…
• For a gas C P - C V = R in a state P and C P - C V = 1.10 R in a state Q, T P and T Q…
• N moles of a polyatomic gas (f=6) must be mixed with two moles of a monoatomic gas so…
• Consider two ideal diatomic gases A and B at some temperature T. Molecules of the gas A…
• Match the List I with List II List - I | List - II; (A) | Triatomic rigid gas | (I) |…
• A mixture of one mole of monoatomic gas and one mole of a diatomic gas (rigid) are kept…
• The helium and argon are put in the flask at the same room temperature (300 K). The…
• The internal energy (U), pressure (P) and volume (V) of an ideal gas are related as U =…
• The total number of degrees of freedom of a diatomic ideal gas molecule at ordinary…
• The parameter that remains the same for molecules of all gases at a given temperature is :
• Initially a gas of diatomic molecules is contained in a cylinder of volume V₁ at a…
• A flask contains argon and oxygen in the ratio of 3 : 2 in mass and the mixture is kept…
• A thermally insulated vessel contains an ideal gas of molecular mass M and ratio of…
• To raise the temperature of a certain mass of gas by 50ᵒC at a constant pressure, 160…

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Frequently asked questions

How many Kinetic Theory of Gases questions are there for JEE Main?

PrepWiser has 145 Kinetic Theory of Gases questions for JEE Main, grouped into 5 topics such as Ideal Gas Equation, Kinetic Theory Assumptions and Mean Free Path.

Are these Kinetic Theory of Gases questions from previous-year JEE Main papers?

Yes — most are genuine previous-year questions from past JEE Main papers, and the rest are practice questions written to match the JEE Main pattern and difficulty.

Where can I see the answers and solutions to these Kinetic Theory of Gases questions?

Open any Kinetic Theory of Gases question in PrepWiser (it is free) to attempt it; most come with a step-by-step solution.