A cylinder contains 4 . 0 × 10 - 2 m 3 of carbon dioxide at a pressure of 4 . 8 × 10 5 Pa at room temperature. Calculate the number of moles of carbon dioxide.

Pressure at room temperature of carbon dioxide P = 4 . 8 × 10 5 P a Volume of carbon dioxide V = 4 . 0 × 10 - 2 m 3 For number of moles n , n = P V R T ⇒ n = [ 4 . 8 × 10 5 × 4 × 10 - 2 ] 8 . 314 × 299 ⇒ n = 7 . 7236 moles

Calculate the volume of 1 mole of ideal gas at a pressure of 1 . 01 × 10 5 Pa and at a temperature of 0 ° C .

At standard temperature, These are the condition of S.T.P i e for molar volume is 22 . 4 litre.

EASY

AS and A Level

IMPORTANT

Earn 100

A cylinder holds $140 m^{3}$ of nitrogen at room temperature and pressure. Moving slowly, so that there is no change in temperature, a piston is pushed to reduce the volume of the nitrogen to $42 m^{3}$ . Explain the effect on the temperature and pressure of the nitrogen if the piston is pushed in very quickly.

Important Questions on Ideal Gases

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 20 - Ideal Gases>EXAM-STYLE QUESTIONS>Q 6

The atmospheric pressure is

100 kPa

, equivalent to the pressure exerted by a column of water

10 m

high. A bubble of oxygen of volume

0.42 {cm}^{3}

is released by a water plant at a depth of

25 m

. Calculate the volume of the bubble when it reaches the surface. State any assumptions you make.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 20 - Ideal Gases>EXAM-STYLE QUESTIONS>Q 7

A cylinder contains $4.0 \times 10^{- 2} m^{3}$ of carbon dioxide at a pressure of $4.8 \times 10^{5} Pa$ at room temperature. Calculate the number of moles of carbon dioxide.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 20 - Ideal Gases>EXAM-STYLE QUESTIONS>Q 7

A cylinder contains $4.0 \times 10^{- 2} m^{3}$ of carbon dioxide at a pressure of $4.8 \times 10^{5} Pa$ at room temperature. Calculate the mass of carbon dioxide. (Molar mass of carbon dioxide $= 44 g$ or one molecule of carbon dioxide has mass $44 u$ .)

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 20 - Ideal Gases>EXAM-STYLE QUESTIONS>Q 8

Calculate the volume of

1

mole of ideal gas at a pressure of

1.01 \times 10^{5} Pa

and at a temperature of

0 ° C

MEDIUM

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 20 - Ideal Gases>EXAM-STYLE QUESTIONS>Q 9

A vessel of volume

0.20 m^{3}

contains

3.0 \times 10^{26}

molecules of gas at a temperature of

127 ° C

. Calculate the pressure exerted by the gas on the vessel walls.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 20 - Ideal Gases>EXAM-STYLE QUESTIONS>Q 10

Calculate the root-mean-square speed of helium molecules at room temperature and pressure. (Density of helium at room temperature and pressure

= 0.179 kg m^{- 3}

MEDIUM

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 20 - Ideal Gases>EXAM-STYLE QUESTIONS>Q 10

Calculate the root-mean-square speed of helium molecules at room temperature and pressure (Density of helium at room temperature and pressure

= 0.179 kg m^{- 3}

). Compare this speed with the average speed of air molecules at the same temperature and pressure.

EASY

AS and A Level

IMPORTANT

Physics for Cambridge International AS & A Level Coursebook 3rd Edition Digital Access>Chapter 20 - Ideal Gases>EXAM-STYLE QUESTIONS>Q 11

A sample of neon is contained in a cylinder at $27 ° C$ . Its temperature is raised to $243 ° C$ .

(a) Calculate the kinetic energy of the neon atoms at:

(i) $27 ° C$

Important Questions on Ideal Gases

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