For gaseous state, if most probable speed is denoted by C * , average speed by C ¯ and root mean square speed by C , then for many molecules, what is the ratios of these speeds?

C * : C - : C = 1 : 1 .128 : 1 .225

C * : C - : C = 1 : 1 .225 : 1 .128

C * : C - : C = 1 .225 : 1 .128 : 1

C * : C - : C = 1 .128 : 1 .225 : 1

Identify the correct labels of A , B and C in the following graph from the options given below: Root mean square speed V r m s ; most proable speed V m p ; Average speed V a v

A - V mp ; B - V av ; C - V rms

A - V mp ; B - V rms ; C - V av

A - V av ; B - V rms ; C - V mp

A - V rms ; B - V mp ; C - V av

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Pressure in a bulb dropped from 2000 to 1500 mm in 47 minute when the contained oxygen leaked through a small hole. The bulb was then completely evacuated. A mixture of oxygen and another gas of molecular weight 79 in molar ratio 1:1 at a total pressure of 4000 mm was introduced. Find the molar ratio of two gases remaining in the bulb after a period of 74 minute.

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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

EASY

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

For gaseous state, if most probable speed is denoted by

C^{*}

, average speed by

\bar{C}

and root mean square speed by

C

, then for many molecules, what is the ratios of these speeds?

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

EASY

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

0.5

moles of gas

A

and

x

moles of gas

B

exert a pressure of

200 P a

in a container of volume

10 m^{3}

1000 K

. Given,

R

is the gas constant in

{JK}^{- 1} {mol}^{- 1}, x

is:

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

MEDIUM

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

Identify the correct labels of

A, B

and

C

in the following graph from the options given below:
Question Image

Root mean square speed

(V_{r m s});

most proable speed

(V_{m p});

Average speed

(V_{a v})

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 temperature at which oxygen molecules have the same root mean square speed as helium atoms have at 300 K is : (Atomic masses : He = 4 u, O = 16 u)

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:

EASY

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

Initially, the root-mean-square (RMS) velocity of

N_{2}

molecules at certain temperature is

u

. If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the new RMS velocity will be:

MEDIUM

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

Equal weights of ethane and hydrogen are mixed in an empty container at

25 ° C .

The fraction of total pressure exerted by hydrogen is

MEDIUM

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

Points

I, I I

and

I I I

in the following plot respectively correspond to (

V_{m p} :

most probable velocity)

Question Image

MEDIUM

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

If the kinetic energy and

RMS

speed of a gas at a certain temperature are

4.0 kJ {mol}^{- 1}

and

5.0 \times 10^{4} cm s^{- 1}

, respectively. The molecular weight of the gas is

MEDIUM

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

At what temperature

(

K)

, the most probable velocity of ozone gas is equal to RMS velocity of oxygen gas at

t ° C ?

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

Important Questions on States of Matter: Gases and Liquids

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