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A 4 : 1 mixture of helium and methane is contained in a vessel at 10 bar pressure. Due to a hole in the vessel, the gas mixture leaks out. The composition of mixture effusing out initially is

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Important Questions on States of Matter: Gases and Liquids

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

The ratio of rates of diffusion of oxygen and an unknown gas is

1 : 4

. The unknown gas is

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Equal moles of hydrogen and oxygen gases are placed in a container with a pin-hole through which both can escape. What fraction of the oxygen escape in the time required for one-half of the hydrogen to escape?

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Two gases

A

and

B

are released from the two ends of a tunnel of length

100 m

. A travels

40 \min

, before meeting the gas

B

in the tunnel. If the molecular weight of

B

18

, what is the molecular weight of

A

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Which of the following statement(s) (are) correct regarding the root-mean-square speed

(U_{r m s})

and average translational kinetic energy

(E_{av})

of a molecule in a gas at equilibrium?

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Diffusion of

{CH}_{4} (g)

and

O_{2} (g)

occurs under similar conditions, then the ratio of their rates of diffusion is

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

A gas molecule of mass

M

at the surface of the earth has kinetic energy equivalent to

0 ° C

. If it were to go up straight without colliding with any other molecules, how high would it rise? Assume that the height attained is much less than the radius of the earth. (

k_{B}

is Boltzmann constant)

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

The rate of diffusion of methane at a given temperature is twice that of gas

X

. The molecular weight of gas

X

HARD

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Benzene and toluene form an ideal solution over the entire range of composition. The vapour pressure of pure benzene and toluene at $T (K)$ are $50 mmHg$ and $40 mmHg$ , respectively. What is the mole fraction of toluene in vapour phase when $117 g$ of benzene is mixed with $46 g$ of toluene?

(Molar mass of benzene and toluene are $78$ and $92 g {mol}^{- 1}$ , respectively)

HARD

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

10

litre cylinder contains equal volumes of

H_{2}

and

He

. If the mixture is allowed to diffuse from an opening, estimate the percent composition of the output gas. (Assume ideal behaviour of gas mixture)

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

At same temperature and pressure, the rate of diffusion of gas

' X'

3 \sqrt{3}

times that of a gaseous hydrocarbon of molar mass

54 g {mol}^{- 1}

. The molar mass of

X

g {mol}^{- 1}

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

The change in the magnitude of the volume of an ideal gas when a small additional pressure

∆ P

is applied at a constant temperature, is the same as the change when the temperature is reduced by a small quantity

∆ T

at constant pressure. The initial temperature and pressure of the gas were

300 K

and

2 atm

respectively. If

| ΔT | = C | ΔP |

then value of

C

(K / atm)

is __________

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

According to Graham's Law, the rate of diffusion of

C O, O_{2}, N_{2} a n d C O_{2}

follows the order:

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

The kinetic energy in

J

1

mole of

N_{2}

27 ° C

is:

(R = 8.314 J {mol}^{- 1} K^{- 1})

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Which of the following is not an assumption of the kinetic theory of gases?

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

What is the kinetic energy (in

ergs

) of the nitrogen molecule at

- 73 ° C

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

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}]

MEDIUM

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

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

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Which of the following statement is not true?

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

Sulphur dioxide and oxygen were allowed to diffuse through a porous partition.

20 {dm}^{3}

{SO}_{2}

diffuses through the porous partition in

60

seconds. The volume of

O_{2}

{dm}^{3}

which diffuses under the similar condition in

30

seconds will be (atomic mass of sulphur

= 32 u

);

EASY

Chemistry>Physical Chemistry>States of Matter: Gases and Liquids>Graham's Diffusion Law

A specific volume of

H_{2}

requires

24 s

to diffuse out of a container. The time required by an equal volume of

O_{2}

to diffuse out under identical conditions, is

A 4 : 1 mixture of helium and methane is contained in a vessel at 10 bar pressure. Due to a hole in the vessel, the gas mixture leaks out. The composition of mixture effusing out initially is

Important Questions on States of Matter: Gases and Liquids

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