A flask has a volume of 5 . 0 × 10 - 4 m 3 and contains air at a temperature of 300 K and a pressure of 150 kPa . (c) Estimate the mass of air in the flask. You may take the molar mass of air to be 29 g / mol .

Given, The volume of a flask, V = 5 . 0 × 10 - 4 m 3 Temperature, T = 300 K Pressure, P = 150 kPa = 150 × 10 3 Pa The molar mass of the air, M = 29 g / mol From the ideal gas equation, P V = n R T n = P V R T n = 150 × 10 3 × 5 . 0 × 10 - 4 8 . 31 × 300 = 0 . 030 mol The number of moles of the air in the flask is 0 . 030 mol . The mass of air in the flask is calculated by multiplying the number of moles by the molar mass of the air. m = n × M m = 0 . 030 × 29 m = 0 . 87 g

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Diploma

IMPORTANT

Earn 100

The diagram shows a cylinder in vacuums, which has a movable, frictionless piston at the top. An ideal gas is kept in the cylinder. The piston is at a distance of $0.500 m$ from the bottom of the cylinder and the volume of the cylinder $0.050 m^{3}$ . The weight on the top of the cylinder has a mass of $10.0 kg$ . The temperature of the gas is $19.0 ° C$ .

b. Determine how many molecules there are in the gas.

Important Questions on Thermal Physics

EASY

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 24

The diagram shows a cylinder in vacuums, which has a movable, frictionless piston at the top. An ideal gas is kept in the cylinder. The piston is at a distance of $0.500 m$ from the bottom of the cylinder and the volume of the cylinder $0.050 m^{3}$ . The weight on the top of the cylinder has a mass of $10.0 kg$ . The temperature of the gas is $19.0 ° C$ .

Question Image

c. The temperature is increased to $152 ° C$ . Calculate the new volume of the gas.

MEDIUM

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 25

The molar mass of a gas is

28 g / mol

. A container holds

2.00 mol

of this gas at

0.00 ° C

and pressure of

1.00 \times 10^{5} Pa

. Determine the mass and volume of the gas.

MEDIUM

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 26

A balloon has a volume of

404 m^{3}

and is filled with helium of mass

70.0 kg

. The temperature inside the balloon is

17.0 ° C

. Determine the pressure inside the balloon.

EASY

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 27

A flask has a volume of $5.0 \times 10^{- 4} m^{3}$ and contains air at a temperature of $300 K$ and a pressure of $150 kPa$ .

(a) Calculate the number of moles of air in the flask.

HARD

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 27

A flask has a volume of $5.0 \times 10^{- 4} m^{3}$ and contains air at a temperature of $300 K$ and a pressure of $150 kPa$ .

(b) Determine the number of molecules in the flask.

HARD

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 27

A flask has a volume of $5.0 \times 10^{- 4} m^{3}$ and contains air at a temperature of $300 K$ and a pressure of $150 kPa$ .

EASY

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 28

The molar mass of helium is $4.00 g / mol$ .

a. Calculate the volume of $1.0 mol$ of helium at standard temperature and pressure (STP) i.e., at $T = 273 K, P = 1.0 \times 10^{5} Pa$

MEDIUM

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 28

The molar mass of helium is $4.00 g / mol$ . Calculate the volume of $1.0 mol$ of helium at standard temperature and pressure (STP) i.e., at $T = 273 K, P = 1.0 \times 10^{5} Pa$

b. Determine the density of helium at STP.

Important Questions on Thermal Physics

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