Determine the mass of carbon dioxide required to fill a tank with volume 12 . 0 × 10 - 3 m 3 at a temperature of 20 . 0 ° C and a pressure of 4 . 00 atm .

Given, The molecular mass of carbon dioxide, M = 44 g / mol The volume required to fill a tank, V = 12 . 0 × 10 - 3 m 3 Temperature, T = 20 . 0 ° C = 20 . 0 + 273 = 293 K Pressure, P = 4 . 00 atm = 4 × 1 . 013 × 10 5 = 4 . 052 × 10 5 Pa From the ideal gas equation, P V = m M R T P V M = m R T m = P V M R T m = 4 . 052 × 10 5 × 12 . 0 × 10 - 3 × 44 8 . 31 × 293 m = 87 . 86 g Hence, the mass of the carbon dioxide is 87 . 86 g .

Two ideal gases are kept at the same temperature in two containers separated by the valve, as shown in the diagram. Estimate the pressure when the valve is opened. (The temperature stays the same)

Given, The pressures of the containers, P 1 = 12 atm , P 2 = 6 atm The volume of the containers, V 1 = 6 dm 3 , V 2 = 3 dm 3 From the ideal gas equation, P V = n R T At constant temperature, ... P 1 V 1 + P 2 V 2 = P f V 1 + V 2 P f = P 1 V 1 + P 2 V 2 V 1 + V 2 P f = 12 × 6 + 6 × 3 6 + 3 P f = 10 atm

A mass of120kgof helium is required to fill a bottle with volume500103m3at a temperature of200C Determine the pressure in helium

MEDIUM

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 20

Determine the mass of carbon dioxide required to fill a tank with volume

12.0 \times 10^{- 3} m^{3}

at a temperature of

20.0 ° C

and a pressure of

4.00 atm

.

HARD

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 21

A flask of the volume

300.0 \times 10^{- 6} m^{3}

contains air at pressure of

5.00 \times 10^{5} Pa

and a temperature

27.0 ° C

. The flask loses molecules at a rate

3.00 \times 10^{19}

per second. Estimate how long it takes for the pressure in the flask to fall to half its original value.( Assume that the temperature of the air remains constant during this time.)

EASY

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 22

The point marked in the diagram represents the state of a fixed quantity of ideal gas in a container with a moveable piston. The temperature of the gas in the state shown is $600 K$ . Copy the diagram. Indicate on the diagram the point representing separate change.

Question Image

a. The volume doubles at a constant temperature.

EASY

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 22

The point marked in the diagram represents the state of a fixed quantity of ideal gas in a container with a moveable piston. The temperature of the gas in the state shown is $600 K$ . Copy the diagram. Indicate on the diagram the point representing separate change.

Question Image

b. The volume doubles at a constant pressure.

EASY

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 22

The point marked in the diagram represents the state of a fixed quantity of ideal gas in a container with a moveable piston. The temperature of the gas in the state shown is $600 K$ . Copy the diagram. Indicate on the diagram the point representing separate change.

Question Image

c. The pressure halved at constant volume.

EASY

Diploma

IMPORTANT

Physics for the IB Diploma 6th Edition>Chapter 3 - Thermal Physics>Test yourself>Q 23

Two ideal gases are kept at the same temperature in two containers separated by the valve, as shown in the diagram. Question Image

Estimate the pressure when the valve is opened. (The temperature stays the same)

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

a. Calculate the pressure of the gas.

HARD

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

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

A mass of $12.0 kg$ of helium is required to fill a bottle with volume $5.00 \times 10^{- 3} m^{3}$ at a temperature of $20.0 ° C$ . Determine the pressure in helium.

Important Questions on Thermal Physics

Learn and Prepare for any exam you want !

A mass of 12.0 kg of helium is required to fill a bottle with volume 5.00×10-3 m3 at a temperature of 20.0°C. Determine the pressure in helium.

Important Questions on Thermal Physics

Learn and Prepare for any exam you want !

A mass of $12.0 kg$ of helium is required to fill a bottle with volume $5.00 \times 10^{- 3} m^{3}$ at a temperature of $20.0 ° C$ . Determine the pressure in helium.