The average kinetic energy of a molecule of the gas is

proportional to absolute temperature

dependent on the nature of the gas

The root mean square velocity of molecules of gas is

Proportional to square root of temperature T .

Proportional to square of temperature ( T 2 ).

Inversely proportional to square root of temperature ( 1 T ).

Proportional to temperature ( T ) .

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. Statement II : The product of pressure and volume of an ideal gas will be equal to translational kinetic energy of the molecules. In the light of the above statements, choose the correct answer from the options given below:

Statement I is true but Statement II is false

Both Statement I and Statement II are true

Both Statement I and Statement II are false

Statement I is false but Statement II is true

HARD

JEE Main

IMPORTANT

Earn 100

The average translational kinetic energy of $N_{2}$ gas molecules at $_____{}^{\circ}C$ becomes equal to the $K . E .$ of an electron accelerated from rest through a potential difference of $0.1 volt .$

(Consider $0 K = - 273 ° C$ , $k_{B} = 1.38 \times 10^{- 23} J K^{- 1} and e = 1.6 \times 10^{- 19} C)$ (Fill the nearest integer).

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Important Questions on Kinetic Theory of Gases

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 20 July 2021 Shift 1>Q 8

Consider a mixture of gas molecule of types

A, B

and

C

having masses

m_{A} < m_{B} < m_{C} .

The ratio of their root mean square speeds at normal temperature and pressure is:

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 20 July 2021 Shift 2>Q 9

Which of the following graphs represent the behaviour of an ideal gas? Symbols have their usual meaning.

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 22 July 2021 Shift 1>Q 10

What will be the average value of energy for a monoatomic gas in thermal equilibrium at temperature

T ?

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 25 July 2021 Shift 2>Q 11

A system consists of two types of gas molecules

A

and

B

having the same number density

2 \times 10^{25} m^{- 3}

. The diameter of

A

and

B

are

10 A

and

5 A

respectively. They suffer collisions at room temperature. The ratio of average distance covered by the molecule

A

to that of

B

between two successive collisions is ___________

\times 10^{- 2}

HARD

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 27 July 2021 Shift 1>Q 12

The number of molecules in one litre of an ideal gas at

2

atmospheric pressure with mean kinetic energy

2 \times 10^{- 9} J

per molecule is:

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main 16 March 2021 Shift 1>Q 13

The volume

V

of an enclosure contains a mixture of three gases,

16 g

of oxygen,

28 g

of nitrogen and

44 g

of carbon dioxide at absolute temperature

T

. Consider

R

as universal gas constant. The pressure of the mixture of gases is :

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main 16 March 2021 Shift 2>Q 14

Calculate the value of the mean free path

(λ)

for oxygen molecules at temperature

27 ° C

and pressure

1.01 \times 10^{5} Pa

. Assume the molecular diameter

0.3 nm

and the gas is ideal.

(k = 1.38 \times 10^{- 23} J K^{- 1})

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main 17 March 2021 Shift 1>Q 15

A polyatomic ideal gas has

24

vibrational modes. What is the value of

γ ?

The average translational kinetic energy of N2 gas molecules at _____C∘ becomes equal to the K.E. of an electron accelerated from rest through a potential difference of 0.1 volt. (Consider 0 K=-273 °C, kB=1.38×10-23 J K-1 and e=1.6×10-19 C (Fill the nearest integer).

Important Questions on Kinetic Theory of Gases

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