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JEE • PHYSICS • KINETIC THEORY OF GASES

Kinetic theory of gases practice · Easy

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Practice format and chapter quiz

These sets use single-correct-answer MCQs. They do not cover every JEE Main or JEE Advanced question format and are not full-length mock papers.

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1 Easy

1 of 16

Understanding +4 | -1

Which of the following gases possesses maximum rms velocity, all being at the same temperature?

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Correct option: D

Hydrogen

Option D is correct because rms velocity is inversely proportional to the square root of the molar mass, making it highest for Hydrogen.

2 Easy

2 of 16

Understanding +4 | -1

The root mean square speeds of molecules of ideal gases at the same temperature are:

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Correct option: B

Inversely proportional to the square root of the molecular weight

Option B is correct because the root mean square speed of molecules is inversely proportional to the square root of the molecular weight.

3 Easy

3 of 16

Application +4 | -1

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

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Correct option: B

\frac{2 \sqrt{2}}{1}

Option B (

\frac{2 \sqrt{2}}{1}

) is correct because it correctly applies the formula for RMS speed and calculates the ratio.

4 Easy

4 of 16

Understanding +4 | -1

The temperature of gas is produced by

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Correct option: B

The kinetic energy of its molecules

Option B is correct because the temperature of a gas is directly related to the average kinetic energy of its molecules.

5 Easy

5 of 16

Understanding +4 | -1

The phenomenon of Brownian movement may be taken as evidence of

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Correct option: A

Kinetic theory of matter

Option A (Kinetic theory of matter) is correct because Brownian motion is the random movement of particles suspended in a fluid, providing evidence for the continuous motion of molecules as described by the kinetic theory.

6 Easy

6 of 16

Understanding +4 | -1

The temperature of the gas is a measure of

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Correct option: A

The average translational kinetic energy of the
gas molecules

Option A (The average translational kinetic energy of the gas molecules) is correct because temperature is directly proportional to the average translational kinetic energy of the gas molecules.

7 Easy

7 of 16

Analyzing +4 | -1

Assertion: The ratio of specific heat gas at constant pressure and specific heat at constant volume for a diatomic gas is more than that for a monatomic gas.
Reason: The molecules of a monatomic gas have more degrees of freedom than those of a diatomic gas.

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Correct option: D

If both assertion and reason are false

Option D is correct. Both the assertion and reason are false. The ratio of specific heats is lower for diatomic gases, and monatomic gases have fewer degrees of freedom.

8 Easy

8 of 16

Understanding +4 | -1

Assertion: Specific heat of a gas at constant pressure

C_P

is greater than its specific heat at constant volume

C_V

.
Reason: At constant pressure, some heat is spent in expansion of the gas.

View answer and explanation

Correct option: A

If both assertion and reason are true and reason is the correct explanation of the assertion

Option A (If both assertion and reason are true and reason is the correct explanation of the assertion) is correct because at constant pressure, some heat is used for expansion, requiring more heat input than at constant volume.

9 Easy

9 of 16

Analyzing +4 | -1

Assertion: Maxwell speed distribution graph is symmetric about most probable speed.
Reason: rms speed of ideal gas, depends upon its type (monoatomic, diatomic and polyatomic).

View answer and explanation

Correct option: D

If both assertion and reason are false

Option D is correct because both assertion and reason are false. The Maxwell speed distribution graph is asymmetric, and the rms speed of an ideal gas depends on temperature and molar mass, not the type of gas (monoatomic, diatomic, etc.).

10 Easy

10 of 16

Analyzing +4 | -1

If the Avogadro’s number was to tend to infinity; the phenomenon of Brownian motion would:

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Correct option: A

Remain completely unaffected

Option A is correct because Brownian motion depends on the temperature and viscosity of the fluid, and the size of the particles, not on Avogadro's number.

11 Easy

11 of 16

Application +4 | -1

If the root mean square velocity of hydrogen molecule at a given temperature and pressure is

2 \mathrm{~km} / \mathrm{s}

, the root mean square velocity of oxygen at the same condition in

\mathrm{km} / \mathrm{s}

is:

View answer and explanation

Correct option: C

0.5

Option C (0.5) is correct because the root mean square velocity is inversely proportional to the square root of the molar mass.

12 Easy

12 of 16

Remembering +4 | -1

The critical volume of a gas obeying van der Waals' equation is

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Correct option: C

3 b

Option C (3 b) is correct because the critical volume (

V_c

) in the van der Waals equation of state is given by

V_c = 3b

, where 'b' is the van der Waals parameter related to the volume of the gas molecules.

13 Easy

13 of 16

Analyzing +4 | -1

Assertion: Equal masses of helium and oxygen gases are given equal quantities of heat. There will be a greater rise in the temperature of helium compared to that of oxygen.
Reason: The molecular weight of oxygen is more than the molecular weight of helium.

View answer and explanation

Correct option: B

If both assertion and reason are true but reason is not correct explanation of the assertion

The correct answer is C (

x < z < y

) because the percentage error in x is 1%, in y is 7%, and in z is 2%, so the order is x < z < y.

14 Easy

14 of 16

Understanding +4 | -1

If the molecular weight of two gases are

{M_1}

and

{M_2}

, then at a temperature the ratio of root mean square velocity

{v_1}

and

{v_2}

will be

View answer and explanation

Correct option: B

\sqrt {\frac{{{M_2}}}{{{M_1}}}}

Option B is correct because the root mean square velocity is inversely proportional to the square root of the molecular weight.

15 Easy

15 of 16

Understanding +4 | -1

A gas is taken through a number of thermodynamic states. What happens to its specific heat?

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Correct option: D

It can have any value depending upon process of heat absorbed or evolved

Option D is correct because the specific heat of a gas depends on the thermodynamic process it undergoes.

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16 Easy

16 of 16

Remembering +4 | -1

The relation between rms velocity,

v_{\text {rms}}

and the most probable velocity,

v_{{mp}}

of a gas is

View answer and explanation

Correct option: B

v_{\mathrm{rms}}=\sqrt{\frac{3}{2}} v_{{mp}}

Option B (

v_{\mathrm{rms}}=\sqrt{\frac{3}{2}} v_{{mp}}

) is correct because it represents the correct relationship between the root-mean-square velocity and the most probable velocity of gas molecules.

Revision notes and key takeaways

Review KINETIC THEORY OF GASES in your textbook or class notes, then use this set to check your understanding.

Key Takeaways

✓ This set contains 16 single-correct-answer MCQs on KINETIC THEORY OF GASES.
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