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

EASY

JEE Main

IMPORTANT

Earn 100

The number density of molecules of a gas depends on their distance r from the origin as, $n (r) = n_{0} e^{- α r^{4}} .$ Then the numer of molecules is proportional to:

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Important Questions on Kinetic Theory of Gases

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 19th April 2014>Q 57

A gas molecule of mass

M

at the surface of the earth has kinetic energy equivalent to

0 ° C

. If it were to go up straight without colliding with any other molecules, how high would it rise? Assume that the height attained is much less than the radius of the earth. (

k_{B}

is Boltzmann constant)

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 9th April 2014>Q 58

Modern vacuum pumps can evacuate a vessel down to a pressure of

4.0 \times 1 0^{- 15}

atm. at room temperature (300 K). Taking R = 8.3 JK^-1 mole^-1, 1 atm = 10⁵ Pa and

N_{Avogadro} = 6 \times 1 0^{23} {mole}^{- 1}

, the mean distance between molecules of gas in an evacuated vessel will be of the order of :

MEDIUM

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 24 June 2022 Shift 1>Q 59

0.056 kg

of Nitrogen is enclosed in a vessel at a temperature of

127 ° C

. The amount of heat required to double the speed of its molecules is_____

kcal

.
(Take

R = 2 cal mole {{}^{- 1}K}^{- 1}

)

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 25 June 2022 Shift 1>Q 60

The relation between root mean square speed

(v_{rms})

and most probable speed

(v_{p})

for the molar mass

M

of oxygen gas molecule at the temperature of

300 K

will be

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 25 June 2022 Shift 2>Q 61

When a gas filled in a closed vessel is heated by raising the temperature by

1 ° C

, its pressure increases by

0.4 %

. The initial temperature of the gas is _____

K

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 26 June 2022 Shift 2>Q 62

A flask contains argon and oxygen in the ratio of

3 : 2

in mass and the mixture is kept at

27 ° C

. The ratio of their average kinetic energy per molecule respectively

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 27 June 2022 Shift 1>Q 63

A mixture of hydrogen and oxygen has volume $2000 {cm}^{3}$ , temperature $300 K$ , pressure $100 kPa$ and mass $0.76 g$ . The ratio of number of moles of hydrogen to number of moles of oxygen in the mixture will be

[Take gas constant $R = 8.3 J K^{- 1} {mol}^{- 1}$ ]

EASY

JEE Main

IMPORTANT

EMBIBE CHAPTER WISE PREVIOUS YEAR PAPERS FOR PHYSICS>Chapter 9 - Kinetic Theory of Gases>JEE Main - 27 June 2022 Shift 2>Q 64

For a perfect gas, two pressures $P_{1}$ and $P_{2}$ are shown in figure. The graph shows

Question Image

The number density of molecules of a gas depends on their distance r from the origin as, nr=n0e-αr4. Then the numer of molecules is proportional to:

Important Questions on Kinetic Theory of Gases

Learn and Prepare for any exam you want !

The number density of molecules of a gas depends on their distance r from the origin as, $n (r) = n_{0} e^{- α r^{4}} .$ Then the numer of molecules is proportional to: