The average translational energy and the rms speed of molecules in a gas at 300 K are 6 . 21 × 10 - 21 J and 484 m s - 1 respectively. What are the corresponding values at 600 K (assuming ideal gas behaviour)?

The average translational K E = 3 2 k T which is directly proportional to T , while r.m.s speed of molecules is given by v r m s = 3 R T M i . e . , v r m s = T When temperature of gas is increased from 300 K to 600 K (i.e. 2 times), the average translational KE will increase to 2 times and r.m.s speed to 2 o r 1 . 414 times. &there4; Average translational K . E = 2 × 6 . 21 × 10 - 21 J = = 12 . 42 × 10 - 21 J And RMS speed v r m s = ( 1 . 414 ) ( 484 ) m / s = 684 m / s

HARD

11th West Bengal Board

IMPORTANT

Earn 100

With what speed would one mole of oxygen at $300 K$ be moving in order that the translational $K . E$ . of its centre of mass be equal to the total $K . E$ of all its molecules? Molecular weight of oxygen $= 32$ .

Important Questions on Kinetic Theory of Gases

HARD

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 20 - Kinetic Theory of Gases>EXERCISE>Q 9

The average translational energy and the

rms

speed of molecules in a gas at

300 K

are

6.21 \times 10^{- 21} J

and

484 m s^{- 1}

respectively. What are the corresponding values at

600 K

(assuming ideal gas behaviour)?

HARD

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 20 - Kinetic Theory of Gases>EXERCISE>Q 10

Two closed vessels of equal volume contain air at a pressure of

300 kpa

and temperature

27 ° C

. The two are connected by a narrow tube of negligible volume. If one of the vessels is now maintained at

27 ° C

and the other at

127 ° C

, what will be the pressure in the vessels?

HARD

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 20 - Kinetic Theory of Gases>EXERCISE>Q 11

A vessel of volume

2 L

contains

0.1

mole of oxygen and

0.2

moles of carbon dioxide. If the temperature of the mixture is

300 K

, find the pressure.

HARD

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 20 - Kinetic Theory of Gases>EXERCISE>Q 12

Two vessels of equal volume contain ideal gas at pressures and temperatures

p_{1}, T_{1}

and

p_{2}, T_{2}

respectively. They are now connected by a narrow tube of negligible volume. Find the relation between the equilibrium pressure

p

and equilibrium temperature

T

HARD

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 20 - Kinetic Theory of Gases>EXERCISE>Q 13

Show that the molecular collision frequency for a given type of gas in a container of constant volume varies as the square root of the absolute temperature.

HARD

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 20 - Kinetic Theory of Gases>EXERCISE>Q 14

Kinetic temperature of small particle is the temperature of a gas at equilibrium, whose most probable speed is the speed of the particle. Find the kinetic temperature of a proton of energy

1 mev

and that of a ball of mass

250 gm

moving with a velocity of

10 {ms}^{- 1}

MEDIUM

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 20 - Kinetic Theory of Gases>EXERCISE>Q 15

Calculate the average kinetic energy of translation of a nitrogen molecule at

27 ° C

MEDIUM

11th West Bengal Board

IMPORTANT

A Text Book of PHYSICS PART I : CLASS 11>Chapter 20 - Kinetic Theory of Gases>EXERCISE>Q 15

Calculate the total kinetic energy of a nitrogen molecule at

27 ° C

With what speed would one mole of oxygen at 300 K be moving in order that the translational K.E. of its centre of mass be equal to the total K.E of all its molecules? Molecular weight of oxygen=32.

Important Questions on Kinetic Theory of Gases

Learn and Prepare for any exam you want !

With what speed would one mole of oxygen at $300 K$ be moving in order that the translational $K . E$ . of its centre of mass be equal to the total $K . E$ of all its molecules? Molecular weight of oxygen $= 32$ .