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Deduce Boyle's law, using the expression for pressure exerted by the gas

Important Questions on Behaviour of Perfect Gases and Kinetic Theory of Gases

HARD

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

If $150 cc$ of gas A contains $X$ molecules, how many molecules of gas $B$ will be present in $75 cc$ of $B$ ? The gases $A$ and $B$ are under the same conditions of temperature and pressure. Name the law on which the problem is based.

EASY

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

When one litre of an ideal gas at

27 ° C

is heated at a constant pressure to a temperature of

297 ° C,

find its final volume.

HARD

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

Deduce Boyle’s law using the expression for pressure exerted by the gas.

EASY

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

How many molecules of

{CO}_{2}

will be produced when

1 mole C

reacts completely with

1 mole O_{2}

MEDIUM

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

Initially a gas of diatomic molecules is contained in a cylinder of volume

V_{1}

at a pressure

P_{1}

and temperature

250 K

. Assuming that

25 %

of the molecules get dissociated causing a change in number of moles. The pressure of the resulting gas at temperature

2000 K,

when contained in a volume

2 V_{1}

is given by

P_{2}

. The ratio

P_{2} / P_{1}

is -

EASY

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

State whether the below given statement is true or false:
“The volume of gas molecules is taken into consideration in Avogadro’s Law.”

HARD

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

Calculate the amount of each reactant required to produce $750 ml$ of carbon dioxide, when two volumes of carbon monoxide combine with one volume of oxygen to produce two volumes of carbon dioxide.

$2 CO + O_{2} \to 2 {CO}_{2}$

State the law associated with this question.

EASY

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

An air bubble of volume

1 {cm}^{3}

rises from the bottom of a lake

40 m

deep to the surface at a temperature of

12 ° C .

The atmospheric pressure is

1 \times 10^{5} Pa,

the density of water is

1000 kg m^{- 3}

and

g = 10 m s^{- 2} .

There is no difference of the temperature of water at the depth of

40 m

and on the surface. The volume of air bubble when it reaches the surface will be

EASY

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

Two gases having same pressure

P

and volume

V

are mixed at a temperature

T

. If the mixture is at a temperature

T

and occupies the same volume then pressure of the mixture would be

MEDIUM

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

The volume

V

of an enclosure contains a mixture of three gases,

16 g

of oxygen,

28 g

of nitrogen and

44 g

of carbon dioxide at absolute temperature

T

. Consider

R

as universal gas constant. The pressure of the mixture of gases is :

EASY

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

State Avogadro's law. At a certain fixed temperature and pressure the molar volumes (

V / n

) of the real gases are nearly equal and at STP the limit is

22.4 {Lmol}^{- 1}

. How Avogadro's law can be arrived at from this information obtained from experiments?

HARD

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

An open glass tube is immersed in mercury in such a way that a length of

8 cm

extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional

46 cm

. What will be length of the air column above mercury in the tube now ?
(Atmospheric pressure =

76 cm

of Hg)

MEDIUM

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

A certain amount of gas of volume

V

27 ° C

temperature and pressure

2 \times 10^{7} N m^{- 2}

expands isothermally until its volume gets doubled. Later it expands adiabatically until its volume gets redoubled. The final pressure of the gas will be (Use

γ = 1.5

)

EASY

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

A container with insulating walls is divided into equal parts by a partition fitted with a valve. One part is filled with an ideal gas at a pressure

P

and temperature

T

, whereas the other part is completely evacuated. If the valve is suddenly opened, the pressure and temperature of the gas will be

EASY

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

A bicycle tyre is filled with air having pressure of

270 kPa

27 ° C

. The approximate pressure of the air in the tyre when the temperature increases to

36 ° C

HARD

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

A container of fixed volume has a mixture of one mole of hydrogen and one mole of helium in equilibrium at temperature

T

. Assuming the gases are ideal, the correct statement(s) is (are)

EASY

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

The molecules of a given mass of gas have RMS velocity of

200

m s^{- 1}

27^{o} C

and

1.0 \times 10^{5} N m^{- 2}

pressure. When the temperature and pressure of the gas are respectively,

127^{o} C

and

0.05 \times 10^{5} N m^{- 2}

, the r.m.s. velocity of its molecules in

m s^{- 1}

is:

MEDIUM

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

A cylindrical container of volume

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

contains one mole of hydrogen and two moles of carbon dioxide. Assume the temperature of the mixture is

400 K

. The pressure of the mixture of gases is :
[Take gas constant as

8.3 J {mol}^{- 1} K^{- 1}]

EASY

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

Equal masses of

H_{2}, O_{2}

and methane have been taken in a container of volume

V

at temperature

27^{o} C

in identical conditions. The ratio of the volumes of gases

H_{2} : O_{2} :

methane would be

EASY

Physics>Heat and Thermodynamics>Behaviour of Perfect Gases and Kinetic Theory of Gases>Mean Speed and RMS Speed

For the

P - V

diagram given for an ideal gas
Question Image

Out of the following which one correctly represents the

T - P

diagram?

Deduce Boyle's law, using the expression for pressure exerted by the gas

Important Questions on Behaviour of Perfect Gases and Kinetic Theory of Gases

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