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JEE Advanced > States of Matter: Gases and Liquids

Explore popular questions from States of Matter: Gases and Liquids for JEE Advanced. This collection covers States of Matter: Gases and Liquids previous year JEE Advanced questions hand picked by experienced teachers.

Q 1.

Correct4

Incorrect-1

Equal weights of methane and oxygen are mixed in an empty container at {tex} 25 ^ { \circ } \mathrm { C } {/tex}. The fraction of the total pressure exerted by oxygen is

{tex} \frac { 1 } { 3 } {/tex}

B

{tex} \frac { 1 } { 2 } {/tex}

C

{tex} \frac { 2 } { 3 } {/tex}

D

{tex} \frac { 1 } { 3 } \times \frac { 273 } { 298 } {/tex}

Explanation

Q 2.

Correct4

Incorrect-1

The temperature at which a real gas obeys the ideal gas laws over a wide range of pressure is

A

Critical temperature

Boyle temperature

C

Inversion temperature

D

Reduced temperature

Explanation

Q 3.

Correct4

Incorrect-1

Helium atom is two times heavier than a hydrogen molecule. At {tex} 298 \mathrm { K } , {/tex} the average kinetic energy of a helium atom is

A

two times that of a hydrogen molecule.

same as that of a hydrogen molecule.

C

four times that of a hydrogen molecule.

D

half that of a hydrogen molecule.

Explanation

Q 4.

Correct4

Incorrect-1

Rate of diffusion of a gas is:

A

directly proportional to its density.

B

directly proportional to its molecular weight.

C

directly proportional to the square root of its molecular weight.

inversely proportional to the square root of its molecular weight.

Explanation

Q 5.

Correct4

Incorrect-1

A bottle of dry ammonia and a bottle of dry hydrogen chloride connected through a long tube are opened simultaneously at both ends the white ammonium chloride ring first formed will be

A

at the centre of the tube.

near the hydrogen chloride bottle.

C

near the ammonia bottle.

D

throughout the length of the tube.

Explanation

Q 6.

Correct4

Incorrect-1

The rate of diffusion of methane at a given temperature is twice that of a gas {tex} X . {/tex} The molecular weight of {tex} X {/tex} is

64

B

32

C

4

D

8

Explanation

Q 7.

Correct4

Incorrect-1

According to kinetic theory of gases, for a diatomic molecule

A

the pressure exerted by the gas is proportional to mean velocity of the molecule

B

the pressure exerted by the gas is proportional to the root mean velocity of the molecule

C

the root mean square velocity of the molecule is inversely proportional to the temperature

the mean translational kinetic energy of the molecule is proportional to the absolute temperature.

Explanation

Q 8.

Correct4

Incorrect-1

The ratio between the root mean square speed of {tex} \mathrm { H } _ { 2 } {/tex} at {tex} 50 \mathrm { K } {/tex} and that of {tex} \mathrm { O } _ { 2 } {/tex} at {tex} 800 \mathrm { K } {/tex} is,

A

4

B

2

1

D

{tex} \frac{1}{4} {/tex}

Explanation

Q 9.

Correct4

Incorrect-1

{tex} \mathrm { XmL } {/tex} of {tex} \mathrm { H } _ { 2 } {/tex} gas effuses through a hole in a container in 5 seconds. The time taken for the effusion of the same volume of the gas specified below under identical conditions is:

A

10 seconds : {tex} \mathrm { He } {/tex}

20 seconds : {tex} \mathrm { O } _ { 2 } {/tex}

C

25 seconds : {tex} \mathrm { CO } {/tex}

D

55 seconds : {tex} \mathrm { CO } _ { 2 } {/tex}

Explanation

Q 10.

Correct4

Incorrect-1

The compressibility factor for an ideal gas is

A

15

1

C

2

D

{tex}\infty{/tex}

Explanation

Q 11.

Correct4

Incorrect-1

A gas will approach ideal behaviour at

A

low temperature and low pressure.

B

low temperature and high pressure.

high temperature and low pressure.

D

high temperature and high pressure.

Explanation

Q 12.

Correct4

Incorrect-1

The compressibility of a gas is less than unity at STP. Therefore,

A

{tex} V _ { m } > 22.4 \mathrm { litres } {/tex}

{tex} V _ { m } < 22.4 \mathrm { litres } {/tex}

C

{tex} V _ { m } = 22.4 {/tex} litres

D

{tex} V _ { m } = 44.8 \mathrm { litres } {/tex}

Explanation

Q 13.

Correct4

Incorrect-1

At {tex} 100 ^ { \circ } \mathrm { C } {/tex} and {tex} 1 \mathrm { atm } , {/tex} if the density of liquid water is {tex} 1.0 \mathrm { g } \mathrm { cm } ^ { - 3 } {/tex} and that of water vapour is {tex} 0.0006 \mathrm { g } \mathrm { cm } ^ { - 3 } , {/tex} then the volume occupied by water molecules in {tex}1{/tex} litre of steam at that temperature is

A

{tex} 6 \mathrm { cm } ^ { 3 } {/tex}

B

{tex} 60 \mathrm { cm } ^ { 3 } {/tex}

{tex} 0.6 \mathrm { cm } ^ { 3 } {/tex}

D

{tex} 0.06 \mathrm { cm } ^ { 3 } {/tex}

Explanation

Q 14.

Correct4

Incorrect-1

When the temperature is increased, surface tension of water

A

increases

decreases

C

remains constant

D

shows irregular behaviour

Explanation

Q 15.

Correct4

Incorrect-1

The ratio of the rate of diffusion of helium and methane under identical condition of pressure and temperature will {tex} \mathrm { be } {/tex}

A

4

2

C

1

D

0.5

Explanation


Q 16.

Correct4

Incorrect-1

A mono-atomic ideal gas undergoes a process in which the ratio of {tex} P {/tex} to {tex} V {/tex} at any instant is constant and equals to {tex} 1 . {/tex} What is the molar heat capacity of the gas

A

{tex} \frac { 3 R } { 2 } {/tex}

{tex} 2 R {/tex}

C

{tex}0{/tex}

D

{tex} \frac { 5 R } { 2 } {/tex}

Explanation

Q 17.

Correct4

Incorrect-1

For one mole of a van der Waal's gas when {tex} b = 0 {/tex} and {tex} \mathrm { T } = 300 \mathrm { K } , {/tex} the {tex} \mathrm { PV } {/tex} vs, {tex} 1 / \mathrm { V } {/tex} plot is shown below. The value of the van der Waal's constant {tex} a ( \mathrm { atm } . \text { liter } ^ { 2 } \mathrm { mol } ^ { - 2 } {/tex} ) is:

A

1.0

B

4.5

1.5

D

3.0

Explanation