The pressure of an ideal gas filled in the bulb of a constant-volume gas thermometer at 7 ° C is 60 c m of mercury. What will be the pressure of the same volume of gas at 147 ° C ?

According to the pressure law, P 1 T 1 = P 2 T 2 , at constant volume. Now, 60 7 + 273 = P 2 147 + 273 or P 2 = 60 × 420 280 = 90 c m of H g .

HARD

11th ICSE

IMPORTANT

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Assuming the relation, $P = \frac{1}{3} ρ v^{2}$ of kinetic theory, prove that the average kinetic energy of a molecule of an ideal gas is directly proportional to the absolute temperature of the gas.

Important Questions on Kinetic Theory of Gases

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11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 20 - Kinetic Theory of Gases>QUESTIONS>Q 8

Write the formula for the pressure of an ideal gas in terms of molecular mass, number of molecules and their velocity on the basis of kinetic theory and with the help of it, establish the relation between kinetic energy of the molecules and temperature of the gas.

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 20 - Kinetic Theory of Gases>NUMERICALS>Q 1

The reading of a simple barometer containing some air above the mercury column is

73 cm

, while the reading of a correct barometer is

76 cm

. If the tube of the faulty barometer is pushed down into mercury until the volume of air in it is reduced to half its previous volume, what will be the new reading of the faulty barometer?

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 20 - Kinetic Theory of Gases>NUMERICALS>Q 2

The volume of an air bubble becomes

11

times on reaching the surface of water from the bottom of a lake. If the height of mercury in the barometer be

75 c m

, then calculate the depth of the lake. Density of water of the lake is

1.02 \times 10^{3} k g m^{- 3}

MEDIUM

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 20 - Kinetic Theory of Gases>NUMERICALS>Q 3

The pressure of an ideal gas filled in the bulb of a constant-volume gas thermometer at

7 ° C

60 c m

of mercury. What will be the pressure of the same volume of gas at

147 ° C

MEDIUM

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 20 - Kinetic Theory of Gases>NUMERICALS>Q 4

Air is filled in a bottle at atmospheric pressure and it is corked at

35 ° C

. If the cork can come out at

3

atmospheric pressure then up to what temperature should the bottle be heated in order to remove the cork?

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 20 - Kinetic Theory of Gases>NUMERICALS>Q 5

The volume of a balloon filled partially with helium is

30 m^{3}

at the earth’s surface where the pressure is

76 c m

(mercury) and the temperature is

27 ° C

. If this balloon rises up to a height where the pressure is

7.6 c m

(mercury) and the temperature is

- 54 ° C

, then what will be the volume of the gas there?

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 20 - Kinetic Theory of Gases>NUMERICALS>Q 6

There are

4 \times 10^{24}

gas molecules in a vessel at

50 K

temperature. The pressure of the gas in the vessel is

0.03

atmospheric. Calculate the volume of the vessel.

HARD

11th ICSE

IMPORTANT

ISC Physics Class XI Part 1>Chapter 20 - Kinetic Theory of Gases>NUMERICALS>Q 7

Calculate the number of molecules, volume occupied by one molecule and the average distance between two molecules in the

1.00 c m^{3}

volume of gas at

N . T . P .

Assuming the relation, P=13ρv2 of kinetic theory, prove that the average kinetic energy of a molecule of an ideal gas is directly proportional to the absolute temperature of the gas.

Important Questions on Kinetic Theory of Gases

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Assuming the relation, $P = \frac{1}{3} ρ v^{2}$ of kinetic theory, prove that the average kinetic energy of a molecule of an ideal gas is directly proportional to the absolute temperature of the gas.