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NEET • PHYSICS • KINETIC THEORY OF GASES

Kinetic theory of gases practice · Easy

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Showing 1-30 of 37 questions

1 Easy

1 of 37

Understanding +4 | -1

Pressure exerted by a gas is:

View answer and explanation

Correct option: D

Directly proportional to the density of the gas

Option D (Directly proportional to the density of the gas) is correct because pressure exerted by a gas is directly proportional to its density.

2 Easy

2 of 37

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 the Maxwell speed distribution graph is asymmetric, and the RMS speed depends on temperature, not the type of gas (monoatomic, diatomic, etc.).

3 Easy

3 of 37

Application +4 | -1

The volume occupied by the molecules contained in 4.5 kg water at STP, if the intermolecular forces vanish away is :

View answer and explanation

Correct option: A

5.6\,{m^3}

Option A (

5.6\,{m^3}

) is correct because it is the volume occupied by 4.5 kg of water when treated as an ideal gas at STP.

4 Easy

4 of 37

Understanding +4 | -1

On colliding in a closed container the gas molecules

View answer and explanation

Correct option: A

Transfer momentum to the balls

The correct answer is A because gas molecules transfer momentum to the walls of the container during collisions, which is the basis for gas pressure.

5 Easy

5 of 37

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, hence

C_P > C_V

6 Easy

6 of 37

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.

View answer and explanation

Correct option: D

If both assertion and reason are false

Option D is correct because both the assertion and the reason are false. Diatomic gases have fewer degrees of freedom than monatomic gases, and their specific heat ratio is lower.

7 Easy

7 of 37

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

Option C (The average rotational kinetic energy of a molecule is

\mathrm{mv}^2 / 4

) is false because the average rotational kinetic energy for a diatomic molecule is

RT

, which translates to

mv^2/2

considering two degrees of freedom.

8 Easy

8 of 37

Understanding +4 | -1

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

View answer and explanation

Correct option: D

Hydrogen

Option D (Hydrogen) is correct because rms velocity is inversely proportional to the square root of the molar mass. Hydrogen has the lowest molar mass.

9 Easy

9 of 37

Understanding +4 | -1

Assertion: Absolute zero is the temperature corresponding to zero energy.
Reason: The temperature at which no molecular temperature.

View answer and explanation

Correct option: D

If both assertion and reason are false

The correct answer is D because absolute zero corresponds to minimal, but not zero, energy, and molecular motion doesn't cease entirely at any temperature.

10 Easy

10 of 37

Remembering +4 | -1

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

View answer and explanation

Correct option: C

3 b

The correct answer is C (3b) because the critical volume in the van der Waals equation is defined as three times the van der Waals parameter 'b'.

11 Easy

11 of 37

Application +4 | -1

If the rms velocity of the molecules of a gas in a container be doubled than pressure of gas will

View answer and explanation

Correct option: A

Becomes 4 times of its previous value

Option A (Becomes 4 times of its previous value) is correct because pressure is proportional to the square of the RMS velocity.

12 Easy

12 of 37

Understanding +4 | -1

The root mean square velocity,

v_{\text {rms}}

, the average velocity,

v_{{av}}

and the most probable velocity,

v_{{mp}}

of the molecules of the gas are in the order:

View answer and explanation

Correct option: B

v_{\mathrm{rms}} > v_{{av}} > v_{{mp}}

Option B (

v_{\mathrm{rms}} > v_{{av}} > v_{{mp}}

) is correct because the root mean square velocity is greater than the average velocity, which is greater than the most probable velocity.

13 Easy

13 of 37

Application +4 | -1

The root mean square velocity of the gas molecules is

300 \mathrm{~m} / \mathrm{s}

. What will be the root mean square speed of the molecules if the atomic weight is doubled and absolute temperature is halved?

View answer and explanation

Correct option: B

150 \mathrm{~m} / \mathrm{s}

Option B (

150 \mathrm{~m} / \mathrm{s}

) is correct because the rms velocity is proportional to

\sqrt{\frac{T}{M}}

, so doubling M and halving T reduces the velocity by a factor of 2.

14 Easy

14 of 37

Understanding +4 | -1

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

View answer and explanation

Correct option: D

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

Option D (It can have any value depending upon process of heat absorbed or evolved) is correct because specific heat depends on the process.

15 Easy

15 of 37

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 (

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

) is correct because the RMS velocity is inversely proportional to the square root of the molecular weight.

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16 Easy

16 of 37

Understanding +4 | -1

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

View answer and explanation

Correct option: B

Inversely proportional to the square root of the molecular weight

Option B (Inversely proportional to the square root of the molecular weight) is correct because the RMS speed is inversely proportional to the square root of the molar mass at the same temperature.

17 Easy

17 of 37

Application +4 | -1

The root mean square speed of smoke particles of mass

5 \times 10^{-17} \mathrm{~kg}

in their Brownian motion in air at NTP is approximately. [Given

k=1.38 \times 10^{-23} \mathrm{JK}^{-1}

]

View answer and explanation

Correct option: C

15 \mathrm{~mm} \mathrm{~s}{ }^{-1}

Option C (

15 \mathrm{~mm} \mathrm{~s}{ }^{-1}

) is correct because it's calculated using the formula for root mean square speed,

v_{rms} = \sqrt{\frac{3kT}{m}}

, with appropriate substitutions.

18 Easy

18 of 37

Application +4 | -1

Find the number of molecules in

1 \mathrm{~cm}^3

of an ideal gas at

0^{\circ} \mathrm{C}

and at a pressure of

10^{-5} \mathrm{~mm}

of mercury.

View answer and explanation

Correct option: D

3.538 \times 10^{11}

Option D (

3.538 \times 10^{11}

) is correct because it's calculated using the ideal gas law to find the number of molecules per unit volume.

19 Easy

19 of 37

Understanding +4 | -1

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

View answer and explanation

Correct option: C

kinetic energy

The correct answer is C because at a given temperature, the average kinetic energy of molecules is the same for all gases, according to the kinetic theory of gases.

20 Easy

20 of 37

Analyzing +4 | -1

Assertion: A gas has a unique value of specific heat.
Reason: Specific heat is defined as the amount of heat required to raise the temperature of unit mass of the substance through unit degree.

View answer and explanation

Correct option: D

If reason is true but assertion is false

The correct answer is D because the reason is true, but the assertion is false. A gas can have different specific heats under different conditions (e.g., constant pressure or constant volume).

21 Easy

21 of 37

Remembering +4 | -1

A monoatomic gas molecule has

View answer and explanation

Correct option: A

Three degrees of freedom

Option A (Three degrees of freedom) is correct because a monoatomic gas molecule can only move in three independent directions (x, y, and z).

22 Easy

22 of 37

Application +4 | -1

A gas consisting of rigid diatomic molecules is expanded adiabatically. How many time has the gas to be expanded to reduce the root mean square velocity of the molecules

\eta=1.50

times.

View answer and explanation

Correct option: A

7.6

The correct answer is 7.6 because it involves adiabatic expansion and the relationship between temperature and volume for diatomic gases.

23 Easy

23 of 37

Application +4 | -1

The root mean square velocity of the molecules of a gas is

1260 \mathrm{~m} / \mathrm{s}

. The most probable speed of the molecules is

View answer and explanation

Correct option: A

1029 \mathrm{~m} \mathrm{~s}^{-1}

Option A (

1029 \mathrm{~m} \mathrm{~s}^{-1}

) is correct because the most probable speed is related to the RMS speed by a constant factor.

24 Easy

24 of 37

Analyzing +4 | -1

Assertion: Mean free path of a gas molecules varies inversely as density of the gas.
Reason: Mean free path varies inversely as pressure of the gas.

View answer and explanation

Correct option: A

If both Assertion and Reason are true and Reason is the correct explanation of Assertion

Option A is correct because both the assertion and the reason are true, and the reason correctly explains the assertion. Mean free path is inversely proportional to both density and pressure.

25 Easy

25 of 37

Application +4 | -1

One mole of an ideal gas undergoes a process:

P=\frac{P_o}{1+\left(V_o / V\right)^2}

. Here

P_o

and

V_o

are constants. Change in temperature of the gas when volume is changed from

V=V_o

V=2 V_o

View answer and explanation

Correct option: B

\frac{11 P_o V_o}{10 R}

Option B (

\frac{11 P_o V_o}{10 R}

) is correct because it's calculated by finding the initial and final temperatures using the given process equation and then finding the difference.

26 Easy

26 of 37

Application +4 | -1

0.014 \mathrm{~kg}

of nitrogen is enclosed in a vessel at a temperature of

27^{\circ} \mathrm{C}

. How much heat has to be transferred to the gas to double the r.m.s. velocity of its molecules?

View answer and explanation

Correct option: A

9315

The correct answer is 9315 because it involves calculating the heat required to double the RMS velocity of nitrogen gas, considering its diatomic nature.

27 Easy

27 of 37

Analyzing +4 | -1

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

View answer and explanation

Correct option: A

Remain completely unaffected

Option A (2) is correct because the minimum pressure is found by minimizing the expression for pressure derived from the given temperature-volume relationship and the ideal gas law.

28 Easy

28 of 37

Understanding +4 | -1

The temperature of gas is produced by

View answer and explanation

Correct option: B

The kinetic energy of its molecules

Option B (The kinetic energy of its molecules) is correct because temperature is directly proportional to the average kinetic energy of the molecules.

29 Easy

29 of 37

Application +4 | -1

Equal volume of monoatomic and diatomic gases at the same temperature are given equal quantities of heat. Then:

View answer and explanation

Correct option: B

The temperature of monoatomic gas will be more

Option B (The temperature of monoatomic gas will be more) is correct because monoatomic gases have a lower molar specific heat at constant volume, so the same amount of heat will cause a larger temperature increase.

30 Easy

30 of 37

Application +4 | -1

Two vessels

A

and

B

are of the same size and are at same temperature.

A

contains

1 \mathrm{~g}

of hydrogen and

B

contains

1 \mathrm{~g}

of oxygen.

P_A

and

P_B

are the pressure of the gases in

A

and

B

respectively, then

\frac{P_A}{P_B}

is :

View answer and explanation

Correct option: D

Option D (16) is correct because the pressure ratio is directly proportional to the mole ratio, which is determined by the mass and molar mass of each gas.

Revision notes and key takeaways

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Key Takeaways

✓ This set contains 37 single-correct-answer MCQs on KINETIC THEORY OF GASES.
✓ Try each question before opening its answer. Read the explanation where one is available.
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