Physics · JEE

Equation of state of a perfect gas, work done on compressing a gas Concepts for JEE

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Master Equation of state of a perfect gas, work done on compressing a gas by understanding definitions, standard results, and typical JEE question patterns — then practise with syllabus-aligned MCQs on Goodmarks.

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Concept explainer

Equation of state of a perfect gas, work done on compressing a gas is a core JEE Main Physics subtopic under Kinetic Theory of Gases. Master the definitions, standard results, and typical MCQ patterns tested in JEE Main and Advanced.

Key points

Understand the definition and scope of Equation of state of a perfect gas, work done on compressing a gas in the JEE syllabus
Memorise key formulas and standard results linked to Equation of state of a perfect gas, work done on compressing a gas
Practise 20–40 syllabus-aligned MCQs with step-by-step solutions

JEE tips

Revise Equation of state of a perfect gas, work done on compressing a gas with a one-page formula sheet before attempting mixed tests
After each practice set, log mistakes specific to Equation of state of a perfect gas, work done on compressing a gas and reattempt after 48 hours

Common trap

Students often rush Equation of state of a perfect gas, work done on compressing a gas questions without checking units, sign conventions, or boundary conditions — always verify assumptions before calculating.

Syllabus context

Part of Kinetic Theory of Gases in JEE Main Physics.

Free sample questions

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Q1PhysicsUnit 9: Kinetic Theory of Gases

A sample of

O_{2}

gas and a sample of hydrogen gas both have the same no. of moles, the same volume and same pressure. Assuming them to be perfect gases, the ratio of temperature of oxygen gas to the temperature of hydrogen gas is :

Q2PhysicsUnit 9: Kinetic Theory of Gases

Equal masses of

\mathrm{N}_{2}

and

\mathrm{O}_{2}

gases are filled in vessels

A

and

B

. The volume of vessel B is double of A. The ratio of pressure in vessel

A

and

B

will be

Q3PhysicsUnit 9: Kinetic Theory of Gases

In a gas equation,

P V=R T, V

refers to the volume of:

Q4PhysicsUnit 9: Kinetic Theory of Gases

According to Charles law,

Q5PhysicsUnit 9: Kinetic Theory of Gases

An enclosure of volume 3 litre contains 16

\mathrm{gms}

of oxygen,

7 \mathrm{gms}

of nitrogen and 11 gms of carbon di-oxide at

27^{\circ} \mathrm{C}

. The pressure exerted by the mixture is approximately

Q6PhysicsUnit 9: Kinetic Theory of Gases

A vessel of volume

V

contains

n_{1}

moles of oxygen and

n_{2}

moles of carbon dioxide at absolute temperature T. The pressure of the mixture is

Q7PhysicsUnit 9: Kinetic Theory of Gases

A rigid container has a hole in its wall. When the container is evacuated, its weight is 100 gm. When someair is filled in it at

27 C

, its weight becomes 200 gm. Now the temperature of air inside is increased by

\Delta \mathrm{T}

, the weight becomes 150 gm.

\Delta

T should be :

Q8PhysicsUnit 9: Kinetic Theory of Gases

A vessel contains a mixture consisting of

m_{1}-7 g

of nitrogen

\left(M_{1}=28\right)

and

m_{2}=

11 g of carbon dioxide

\left(M_{2}=44\right)

at temperature

T-300 K

and pressure

P_{0}=

atm. The density of the mixture is

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