States of Matter: Gases and Liquids — JEE Previous Year Questions

Every States of Matter: Gases and Liquids question asked in JEE Main and JEE Advanced across the last 186 papers — 56 questions, each with its correct answer. Free to read, no account needed.

Questions

Papers it appeared in

52/186

Appearance rate

28%

All 56 States of Matter: Gases and Liquids questions

Most recent papers first.

Q1·ChemistryNumericalJEE Advanced 2026

Two cylinders, both fitted with frictionless pistons, are filled with mixtures of He and Ar gases. In the first cylinder, the masses of He and Ar are

m_1

and

m_2

, respectively. In the second cylinder, the masses of He and Ar are

m_2

and

m_1

, respectively. The molar mass of Ar is 10 times the molar mass of He. The external pressure applied by the piston on the first cylinder needs to be 5 times that on the second cylinder so that the volume of the gas mixtures in both the cylinders are equal at the same temperature. Assuming He and Ar behave like ideal gases, the value of

(m_1/m_2)

is ____.

Q2·ChemistryNumericalJEE Advanced 2025

Molar volume

(V_m)

of a van der Waals gas can be calculated by expressing the van der Waals equation as a cubic equation with

V_m

as the variable. The ratio (in mol

dm^{-3}

) of the coefficient of

V_m^2

to the coefficient of

V_m

for a gas having van der Waals constant

a = 6.0

dm^6

atm

mol^{-2}

and

b = 0.060

dm^3

mol^{-1}

at 300 K and 300 atm is ______. Use: Universal gas constant (R) = 0.082

dm^3

atm

mol^{-1}

K^{-1}

Q3·ChemistrySingle correctJEE Advanced 2024

A closed vessel contains 10 g of an ideal gas

\mathbf{X}

at 300 K, which exerts 2 atm pressure. At the same temperature, 80 g of another ideal gas

\mathbf{Y}

is added to it and the pressure becomes 6 atm. The ratio of root mean square velocities of

\mathbf{X}

and

\mathbf{Y}

at 300 K is

(A) $2\sqrt{2} : \sqrt{3}$
(B) $2\sqrt{2} : 1$
(C) $1 : 2$
(D) $2 : 1$

Q4·ChemistryNumericalJEE Advanced 2023

A gas has a compressibility factor of 0.5 and a molar volume of 0.4

\mathrm{dm^3\ mol^{-1}}

at a temperature of 800 K and pressure x atm. If it shows ideal gas behaviour at the same temperature and pressure, the molar volume will be y

\mathrm{dm^3\ mol^{-1}}

. The value of x/y is ___. [Use: Gas constant, R =

8 \times 10^{-2}\ \mathrm{L\ atm\ K^{-1}\ mol^{-1}}

]

Q5·ChemistryNumericalJEE Main 2023

A certain quantity of real gas occupies a volume of

0.15\,dm^{3}

100\,atm

and

500\,K

when its compressibility factor is

1.87

. Its volume at

300\,atm

and

300\,K

(When its compressibility factor is

1.4

) is _____

\times10^{-4}\,dm^{3}

(Nearest integer).

Q6·ChemistryNumericalJEE Main 2023

At 600K, the root mean square (rms) speed of gas X (molar mass = 40) is equal to the most probable speed of gas Y at 90K. The molar mass of the gas Y is _________ g mol

^{-1}

. (Nearest integer)

Q7·ChemistryNumericalJEE Main 2023

At constant temperature a gas is at a pressure of 940.3 mm Hg. The pressure at which its volume decreases by 40% is _________ mm Hg. (Nearest Integer)

Q8·ChemistrySingle correctJEE Main 2023

Arrange the following gases in increasing order of van der Waals constant 'a': A. Ar B.

CH_4

H_2O

C_6H_6

. Choose the correct option from the following:

(A)B, C, D and A
(B)C, D, B and A
(C)A, B, C and D
(D)D, C, B and A

Q9·ChemistryNumericalJEE Main 2023

Three bulbs are filled with

CH_4

CO_2

and Ne as shown in the picture. The bulbs are connected through pipes of zero volume. When the stopcocks are opened and the temperature is kept constant throughout, the pressure of the system is found to be ____ atm. (Nearest integer)

Q10·ChemistryNumericalJEE Main 2023

The total pressure of a mixture of non-reacting gases

X

(

0.6

g) and

Y

(

0.45

g) in a vessel is

740

mm of Hg. The partial pressure of the gas

X

is ___ mm of Hg. (Nearest Integer) (Given : molar mass

X = 20

and

Y = 45

\,mol^{-1}

)

Q11·ChemistrySingle correctJEE Main 2023

For 1 mol of gas, the plot of

pV

p

is shown in the figure.

p

is the pressure and

V

is the volume of the gas. What is the value of compressibility factor at point A?

(A) $1 + \dfrac{a}{RTV}$
(B) $1 - \dfrac{a}{RTV}$
(C) $1 + \dfrac{b}{V}$
(D) $1 - \dfrac{b}{V}$

Q12·ChemistryNumericalJEE Main 2023

Based on the given figure, the number of correct statement/s is/are _____ A. Surface tension is the outcome of equal attractive and repulsive forces acting on the liquid molecule in bulk. B. Surface tension is due to uneven forces acting on the molecules present on the surface. C. The molecule in the bulk can never come to the liquid surface. D. The molecules on the surface are responsible for vapours pressure if system is a closed system.

Q13·ChemistryNumericalJEE Main 2023

The number of statement/s, which are correct with respect to the compression of carbon dioxide from point (a) in the Andrews isotherm from the following is _________. A. Carbon dioxide remains as a gas upto point (b). B. Liquid carbon dioxide appears at point (c). C. Liquid and gaseous carbon dioxide coexist between points (b) and (c). D. As the volume decreases from (b) to (c), the amount of liquid decreases

Q14·ChemistryNumericalJEE Main 2022

'x' g of molecular oxygen (O

_{2}

) is mixed with 200 g of neon (Ne). The total pressure of the non-reactive mixture of O

_{2}

and Ne in the cylinder is 25 bar. The partial pressure of Ne is 20 bar at the same temperature and volume. The value of 'x' is_____. [Given: Molar mass of O

_{2}

= 32 g mol

^{-1}

. Molar mass of Ne = 20 g mol

^{-1}

]

Q15·ChemistryNumericalJEE Main 2022

A 10 g mixture of hydrogen and helium is contained in a vessel of capacity 0.0125

m^{3}

at 6 bar and 27°C. The mass of helium in the mixture is ________ g. (nearest integer) Given : R = 8.3

JK^{-1}mol^{-1}

(Atomic masses of H and He are 1u and 4u, respectively)

Q16·ChemistryNumericalJEE Main 2022

A mixture of hydrogen and oxygen contains 40% hydrogen by mass when the pressure is 2.2 bar. The partial pressure of hydrogen is bar. (Nearest Integer)

Q17·ChemistryNumericalJEE Main 2022

The pressure of a moist gas at 27°C is 4 atm. The volume of the container is doubled at the same temperature. The new pressure of the moist gas is ….

\times 10^{-1}

atm. (Nearest integer) (Given : The vapour pressure of water at 27°C is 0.4 atm)

Q18·ChemistryNumericalJEE Main 2022

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46

gL^{-1}

at 257°C and 100 mm Hg. The molar mass of geraniol is _______ (Nearest Integer) [Given R = 0.082 L atm

K^{-1}

mol^{-1}

]

Q19·ChemistryNumericalJEE Main 2022

A box contains 0.90 g of liquid water in equilibrium with water vapour at 27°C. The equilibrium vapour pressure of water at 27°C 32.0 Torr. When the volume of the box is increased, some of the liquid water evaporates to maintain the equilibrium pressure. If all the liquid water evaporates, then the volume of the box must be______ litre. [nearest integer] (Given: R = 0.082 L atm K

^{-1}

mol

^{-1}

) (Ignore the volume of the liquid water and assume water vapours behave as an ideal gas.)

Q20·ChemistryNumericalJEE Main 2022

100 g of an ideal gas is kept in a cylinder of 416 L volume at 27°C under 1.5 bar pressure. The molar mass of the gas is ______ g mol

^{-1}

. (Nearest integer) (Given : R = 0.083 L bar K

^{-1}

mol

^{-1}

)

Q21·ChemistrySingle correctJEE Main 2022

Which amongst the given plots is the correct plot for pressure (p) vs density (d) for an ideal gas ?

(A)(A)
(B)(B)
(C)(C)
(D)(D)

Q22·ChemistryNumericalJEE Main 2021

An empty LPG cylinder weighs 14.8 kg. When full, it weighs 29.0 kg and shows a pressure of 3.47 atm. In the course of use at ambient temperature, the mass of the cylinder is reduced to 23.0 kg. The final pressure inside of the cylinder is ______ atm. (Nearest integer) (Assume LPG of be an ideal gas)

Q23·ChemistrySingle correctJEE Main 2021

Which one of the following is the correct PV vs P plot at constant temperature for an ideal gas ? (P and V stand for pressure and volume of the gas respectively)

(A)(1)
(B)(2)
(C)(3)
(D)(4)

Q24·ChemistrySingle correctJEE Main 2021

The unit of the van der Waals gas equation parameter 'a' in

\left(\mathrm{P}+\dfrac{\mathrm{an^2}}{\mathrm{V^2}}\right)(\mathrm{V-nb}) = \mathrm{nRT}

is :

(A) $\mathrm{kg\ m\ s^{-2}}$
(B) $\mathrm{dm^3\ mol^{-1}}$
(C) $\mathrm{kg\ m\ s^{-1}}$
(D) $\mathrm{atm\ dm^6\ mol^{-2}}$

Q25·ChemistryNumericalJEE Main 2021

Two flasks I and II shown below are connected by a valve of negligible volume. When the valve is opened, the final pressure of the system in bar is x × 10

^{-2}

. The value of x is _____ . (Integer answer) [Assume–Ideal gas; 1 bar = 10

^{5}

Pa; Molar mass of N

_{2}

= 28.0 g mol

^{-1}

; R = 8.31 J mol

^{-1}

^{-1}

]

Q26·ChemistrySingle correctJEE Main 2021

The interaction energy of London forces between two particles is proportional to

\mathrm{r^x}

, where r is the distance between the particles. The value of x is :

(A)3
(B) $-3$
(C) $-6$
(D)6

Q27·ChemistryNumericalJEE Main 2021

2SO

_2

(g)+O

_2

(g) → 2SO

_3

(g) The above reaction is carried out in a vessel starting with partial pressure P

_{SO_2}

= 250 m bar, P

_{O_2}

= 750 m bar and P

_{SO_3}

= 0 bar. When the reaction is complete, the total pressure in the reaction vessel is ____________ m bar. (Round off to the Nearest Integer).

Q28·ChemistryNumericalJEE Main 2021

A home owner uses 4.00

\times 10^{3}

^{3}

of methane (CH

_4

) gas, (assume CH

_4

is an ideal gas) in a year to heat his home. Under the pressure of 1.0 atm and 300 K, mass of gas used is x

\times 10^{5}

g. The value of x is ____________. (Nearest integer) (Given R = 0.083 L atm K

^{-1}

mol

^{-1}

)

Q29·ChemistryNumericalJEE Main 2021

An LPG cylinder contains gas at a pressure of 300 kPa at

27^{\circ}C

. The cylinder can withstand the pressure of

1.2\times10^{6}

Pa. The room in which the cylinder is kept catches fire. The minimum temperature at which the bursting of cylinder will take place is______

^{\circ}C

. (Nearest integer)

Q30·ChemistryNumericalJEE Main 2021

The pressure exerted by a non-reactive gaseous mixture of 6.4 g of methane and 8.8 g of carbon dioxide in a 10 L vessel at

27^\circ

C is ________ kPa. (Round off to the Nearest Integer). [Assume gases are ideal, R = 8.314 J

\mathrm{mol^{-1}\ K^{-1}}

Atomic masses : C : 12.0 u, H : 1.0 u, O : 16.0 u]

Q31·ChemistryNumericalJEE Main 2021

A certain gas obeys P(V

_m

− b) = RT. The value of

\left(\frac{\partial Z}{\partial P}\right)_{T}

\frac{xb}{RT}

. The value of x is _______ .

Q32·ChemistryNumericalJEE Main 2021

A car tyre is filled with nitrogen gas at 35 psi at 27°C. It will burst if pressure exceeds 40 psi. The temperature in °C at which the car tyre will burst is _______. (Rounded-off to the nearest integer)

Q33·ChemistryNumericalJEE Main 2021

The volume occupied by 4.75 g of acetylene gas at 50ºC and 740 mmHg pressure is ________L. (Rounded off to the nearest integer) (Given R = 0.0826 L atm

K^{-1}

mol^{-1}

)

Q34·ChemistrySingle correctJEE Advanced 2020

If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable, the average and the roots mean square speeds, respectively, is

(A)1 : 1 : 1
(B)1 : 1 : 1.224
(C)1 : 1.128 : 1.224
(D)1 : 1.128 : 1

Q35·ChemistryNumericalJEE Main 2020

A spherical balloon of radius 3 cm containing helium gas has a pressure of

48\times10^{-3}

bar. At the same temperature, the pressure, of a spherical balloon of radius 12 cm containing the same amount of gas will be ______________

\times10^{-6}

bar.

Q36·ChemistrySingle correctJEE Main 2020

A mixture of one mole each of H

_{2}

, He and O

_{2}

each are enclosed in a cylinder of volume V at temperature T. If the partial pressure of H

_{2}

is 2 atm, the total pressure of the gases in the cylinder is:

(A)14 atm
(B)6 atm
(C)22 atm
(D)38 atm

Q37·ChemistrySingle correctJEE Main 2020

The predominant intermolecular forces present in ethyl acetate, a liquid, are:

(A)hydrogen bonding and London dispersion
(B)Dipole-dipole and hydrogen bonding
(C)London dispersion, dipole-dipole and hydrogen bonding
(D)London dispersion and dipole-dipole

Q38·ChemistrySingle correctJEE Main 2020

A graph of vapour pressure and temperature for three different liquids X, Y, and Z is shown below: The following inferences are made : (a) X has higher intermolecular interactions compared to Y. (b) X has lower intermolecular interactions compared to Y. (c) Z has lower intermolecular interactions compared to Y. The correct inference (s) is / are :

(A)(c)
(B)(a) and (c)
(C)(b)
(D)(a)

Q39·ChemistrySingle correctJEE Main 2020

The relative strength of interionic/intermolecular forces in decreasing order is

(A)ion-dipole > dipole-dipole > ion-ion
(B)dipole-dipole > ion-dipole > ion- ion
(C)ion-ion > ion-dipole > dipole-dipole
(D)ion-dipole > ion-ion > dipole-dipole

Q40·ChemistrySingle correctJEE Main 2020

Identify the correct labels of A, B and C in the following graph from the options given below Root mean square speed(

V_{rms}

); most probable speed(

V_{\mathrm{m}\mathrm{p}}

); Average speed(

V_{av}

)

(A)A- $V_{av}$ , B- $V_{rms}$ , C- $V_{\mathrm{m}\mathrm{p}}$
(B)A- $V_{rms}$ , B- $V_{\mathrm{m}\mathrm{p}}$ , C- $V_{av}$
(C)A- $V_{\mathrm{m}\mathrm{p}}$ , B- $V_{rms}$ , C- $V_{av}$
(D)A- $V_{\mathrm{m}\mathrm{p}}$ , B- $V_{av}$ , C- $V_{rms}$

Q41·ChemistryMultiple correctJEE Advanced 2019

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

_{rms}

) and average translational kinetic energy (

\varepsilon_{av}

) of a molecule in a gas at equilibrium ?

(A) $\varepsilon_{av}$ at a given temperature does not depend on its molecular mass
(B)U $_{rms}$ is doubled when its temperature is increased four times
(C) $\varepsilon_{av}$ is doubled when its temperature is increased four times
(D)U $_{rms}$ is inversely proportional to the square root of its molecular mass

Q42·ChemistrySingle correctJEE Main 2019

Consider the following table: a and b are van der Waals constants. The correct statement about the gases is:

Gas	a / (k Pa dm $^6$ mol $^{-1}$ )	b / (dm $^3$ mol $^{-1}$ )
A	642.32	0.05196
B	155.21	0.04136
C	431.91	0.05196
D	155.21	0.4382

(A)Gas C will occupy more volume than gas A ; gas B will be lesser compressible than gas D
(B)Gas C will occupy lesser volume than gas A ; gas B will be more compressible than gas D.
(C)Gas C will occupy lesser volume than gas A ; gas B will be lesser compressible than gas D
(D)Gas C will occupy more volume than gas A; gas B will be more compressible than gas D.

Q43·ChemistrySingle correctJEE Main 2019

Points I, II and III in the following plot respectively correspond to (V

_{\mathrm{m}\mathrm{p}}

: most probable velocity)

(A)V $_{\mathrm{m}\mathrm{p}}$ of N $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of H $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of O $_2$ (400K)
(B)V $_{\mathrm{m}\mathrm{p}}$ of H $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of N $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of O $_2$ (400K)
(C)V $_{\mathrm{m}\mathrm{p}}$ of O $_2$ (400K); V $_{\mathrm{m}\mathrm{p}}$ of N $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of H $_2$ (300K)
(D)V $_{\mathrm{m}\mathrm{p}}$ of N $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of O $_2$ (400K); V $_{\mathrm{m}\mathrm{p}}$ of H $_2$ (300K)

Q44·ChemistrySingle correctJEE Main 2019

Consider the van der Waals constants, a and b, for the following gases. Which gas is expected to have the highest critical temperature?

Gas	Ar	Ne	Kr	Xe
a/(atm dm $^6$ mol $^{-2}$ )	1.3	0.2	5.1	4.1
b/(10 $^{-2}$ dm $^3$ mol $^{-1}$ )	3.2	1.7	1.0	5.0

(A)Ar
(B)Xe
(C)Kr
(D)Ne

Q45·ChemistrySingle correctJEE Main 2019

At a given temperature T, gases Ne, Ar, Xe and Kr are found to deviate from ideal gas behaviour. Their equation of state is given as

P=\dfrac{RT}{V-b}

at T. Here, b is the van der Waals constant. Which gas will exhibit steeper increase in the plot of Z (compression factor) versus P?

(A)Ne
(B)Ar
(C)Xe
(D)Kr

Q46·ChemistrySingle correctJEE Main 2019

An open vessel at 27°C is heated until two fifth of the air (assumed as an ideal gas) in it has escaped from the vessel. Assuming that the volume of the vessel remains constant, the temperature at which the vessel has been heated is :

(A)500°C
(B)500 K
(C)750°C
(D)750 K

Q47·ChemistrySingle correctJEE Main 2019

The volume of gas A has is twice than that of gas B. The compressibility factor of gas A is thrice that that of gas B at same temperature. The pressure of gases for equal per moles are

(A) $3P_A = 2P_B$
(B) $2P_A = 3P_B$
(C) $P_A = 3P_B$
(D) $P_A = 2P_B$

Q48·ChemistrySingle correctJEE Main 2019

0.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m

^{3}

at 1000 K. Given R is the gas constant in JK

^{-1}

mol

^{-1}

, x is

(A) $\dfrac{2R}{4+R}$
(B) $\dfrac{2R}{4-R}$
(C) $\dfrac{4+R}{2R}$
(D) $\dfrac{4-R}{2R}$

Q49·ChemistryNumericalJEE Advanced 2018

A closed tank has two compartments A and B, both filled with oxygen (assumed to be ideal gas). The partition separating the two compartments is fixed and is a perfect heat insulator (Figure 1). If the old partition is replaced by a new partition which can slide and conduct heat but does NOT allow the gas to leak across (Figure 2), the volume (in

m^{3}

) of the compartment A after the system attains equilibrium is ___.

Q50·ChemistryIntegerJEE Advanced 2016

The diffusion coefficient of an ideal gas is proportional to its mean free path and mean speed. The absolute temperature of an ideal gas is increased 4 times and its pressure is increased 2 times. As a result, the diffusion coefficient of this gas increases

x

times. The value of

x

Q51·ChemistryMultiple correctJEE Advanced 2015

One mole of a monoatomic real gas satisfies the equation

p(V - b) = RT

where b is a constant. The relationship of interatomic potential

V(r)

and interatomic distance r for the gas is given by

(A)(A)
(B)(B)
(C)(C)
(D)(D)

Q52·ChemistryIntegerJEE Advanced 2015

A closed vessel with rigid walls contains 1 mol of

^{238}_{92}\mathrm{U}

and 1 mol of air at 298 K. Considering complete decay of

^{238}_{92}\mathrm{U}

^{206}_{82}\mathrm{Pb}

, the ratio of the final pressure to the initial pressure of the system at 298 K is

Q53·ChemistrySingle correctJEE Advanced 2014

X and Y are two volatile liquids with molar weights of

10\ \mathrm{g\ mol^{-1}}

and

40\ \mathrm{g\ mol^{-1}}

respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length

L = 24

cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is first observed at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours. The experimental value of d is found to be smaller than the estimate obtained using Graham's law. This is due to

(A)larger mean free path for X as compared to that of Y.
(B)larger mean free path for Y as compared to that of X.
(C)increased collision frequency of Y with the inert gas as compared to that of X with the inert gas.
(D)increased collision frequency of X with the inert gas as compared to that of Y with the inert gas.

Q54·ChemistrySingle correctJEE Advanced 2014

X and Y are two volatile liquids with molar weights of

10\ \mathrm{g\ mol^{-1}}

and

40\ \mathrm{g\ mol^{-1}}

respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length

L = 24

cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is first observed at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours. The value of d in cm (shown in the figure), as estimated from Graham's law, is

(A)8
(B)12
(C)16
(D)20

Q55·ChemistrySingle correctJEE Advanced 2013

A fixed mass ‘m’ of a gas is subjected to transformation of states from K to L to M to N and back to K as shown in the figure The succeeding operations that enable this transformation of states are

(A)Heating, cooling, heating, cooling
(B)Cooling, heating, cooling, heating
(C)Heating, cooling, cooling, heating
(D)Cooling, heating, heating, cooling

Q56·ChemistrySingle correctJEE Advanced 2013

A fixed mass ‘m’ of a gas is subjected to transformation of states from K to L to M to N and back to K as shown in the figure The pair of isochoric processes among the transformation of states is

(A)K to L and L to M
(B)L to M and N to K
(C)L to M and M to N
(D)M to N and N to K

States of Matter: Gases and Liquids — frequently asked

How many questions from States of Matter: Gases and Liquids appear in JEE?

States of Matter: Gases and Liquids has appeared in 52 of the last 186 JEE Main and JEE Advanced papers — about 28% of them — contributing 56 questions in total across those papers.

Is States of Matter: Gases and Liquids an important chapter for JEE?

Judged by how often it is actually tested, it appears in roughly 28% of papers. Chapters above about 50% are effectively guaranteed to show up every session, so they repay thorough preparation; lower-frequency chapters are better treated as targeted revision.

Where do these States of Matter: Gases and Liquids questions come from?

Every question is from an official JEE Main or JEE Advanced paper, transcribed from the original paper and tagged to this chapter. Answers follow the official answer key.

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All 56 States of Matter: Gases and Liquids questions

Most recent papers first.

Q1·ChemistryNumericalJEE Advanced 2026

Two cylinders, both fitted with frictionless pistons, are filled with mixtures of He and Ar gases. In the first cylinder, the masses of He and Ar are

m_1

and

m_2

, respectively. In the second cylinder, the masses of He and Ar are

m_2

and

m_1

(m_1/m_2)

is ____.

Q2·ChemistryNumericalJEE Advanced 2025

Molar volume

(V_m)

of a van der Waals gas can be calculated by expressing the van der Waals equation as a cubic equation with

V_m

as the variable. The ratio (in mol

dm^{-3}

) of the coefficient of

V_m^2

to the coefficient of

V_m

for a gas having van der Waals constant

a = 6.0

dm^6

atm

mol^{-2}

and

b = 0.060

dm^3

mol^{-1}

at 300 K and 300 atm is ______. Use: Universal gas constant (R) = 0.082

dm^3

atm

mol^{-1}

K^{-1}

Q3·ChemistrySingle correctJEE Advanced 2024

A closed vessel contains 10 g of an ideal gas

\mathbf{X}

at 300 K, which exerts 2 atm pressure. At the same temperature, 80 g of another ideal gas

\mathbf{Y}

is added to it and the pressure becomes 6 atm. The ratio of root mean square velocities of

\mathbf{X}

and

\mathbf{Y}

at 300 K is

(A) $2\sqrt{2} : \sqrt{3}$
(B) $2\sqrt{2} : 1$
(C) $1 : 2$
(D) $2 : 1$

Q4·ChemistryNumericalJEE Advanced 2023

A gas has a compressibility factor of 0.5 and a molar volume of 0.4

\mathrm{dm^3\ mol^{-1}}

at a temperature of 800 K and pressure x atm. If it shows ideal gas behaviour at the same temperature and pressure, the molar volume will be y

\mathrm{dm^3\ mol^{-1}}

. The value of x/y is ___. [Use: Gas constant, R =

8 \times 10^{-2}\ \mathrm{L\ atm\ K^{-1}\ mol^{-1}}

]

Q5·ChemistryNumericalJEE Main 2023

A certain quantity of real gas occupies a volume of

0.15\,dm^{3}

100\,atm

and

500\,K

when its compressibility factor is

1.87

. Its volume at

300\,atm

and

300\,K

(When its compressibility factor is

1.4

) is _____

\times10^{-4}\,dm^{3}

(Nearest integer).

Q6·ChemistryNumericalJEE Main 2023

At 600K, the root mean square (rms) speed of gas X (molar mass = 40) is equal to the most probable speed of gas Y at 90K. The molar mass of the gas Y is _________ g mol

^{-1}

. (Nearest integer)

Q7·ChemistryNumericalJEE Main 2023

At constant temperature a gas is at a pressure of 940.3 mm Hg. The pressure at which its volume decreases by 40% is _________ mm Hg. (Nearest Integer)

Q8·ChemistrySingle correctJEE Main 2023

Arrange the following gases in increasing order of van der Waals constant 'a': A. Ar B.

CH_4

H_2O

C_6H_6

. Choose the correct option from the following:

(A)B, C, D and A
(B)C, D, B and A
(C)A, B, C and D
(D)D, C, B and A

Q9·ChemistryNumericalJEE Main 2023

Three bulbs are filled with

CH_4

CO_2

Q10·ChemistryNumericalJEE Main 2023

The total pressure of a mixture of non-reacting gases

X

(

0.6

g) and

Y

(

0.45

g) in a vessel is

740

mm of Hg. The partial pressure of the gas

X

is ___ mm of Hg. (Nearest Integer) (Given : molar mass

X = 20

and

Y = 45

\,mol^{-1}

)

Q11·ChemistrySingle correctJEE Main 2023

For 1 mol of gas, the plot of

pV

p

is shown in the figure.

p

is the pressure and

V

is the volume of the gas. What is the value of compressibility factor at point A?

(A) $1 + \dfrac{a}{RTV}$
(B) $1 - \dfrac{a}{RTV}$
(C) $1 + \dfrac{b}{V}$
(D) $1 - \dfrac{b}{V}$

Q12·ChemistryNumericalJEE Main 2023

Q13·ChemistryNumericalJEE Main 2023

Q14·ChemistryNumericalJEE Main 2022

'x' g of molecular oxygen (O

_{2}

) is mixed with 200 g of neon (Ne). The total pressure of the non-reactive mixture of O

_{2}

and Ne in the cylinder is 25 bar. The partial pressure of Ne is 20 bar at the same temperature and volume. The value of 'x' is_____. [Given: Molar mass of O

_{2}

= 32 g mol

^{-1}

. Molar mass of Ne = 20 g mol

^{-1}

]

Q15·ChemistryNumericalJEE Main 2022

A 10 g mixture of hydrogen and helium is contained in a vessel of capacity 0.0125

m^{3}

at 6 bar and 27°C. The mass of helium in the mixture is ________ g. (nearest integer) Given : R = 8.3

JK^{-1}mol^{-1}

(Atomic masses of H and He are 1u and 4u, respectively)

Q16·ChemistryNumericalJEE Main 2022

A mixture of hydrogen and oxygen contains 40% hydrogen by mass when the pressure is 2.2 bar. The partial pressure of hydrogen is bar. (Nearest Integer)

Q17·ChemistryNumericalJEE Main 2022

The pressure of a moist gas at 27°C is 4 atm. The volume of the container is doubled at the same temperature. The new pressure of the moist gas is ….

\times 10^{-1}

atm. (Nearest integer) (Given : The vapour pressure of water at 27°C is 0.4 atm)

Q18·ChemistryNumericalJEE Main 2022

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46

gL^{-1}

at 257°C and 100 mm Hg. The molar mass of geraniol is _______ (Nearest Integer) [Given R = 0.082 L atm

K^{-1}

mol^{-1}

]

Q19·ChemistryNumericalJEE Main 2022

^{-1}

mol

^{-1}

) (Ignore the volume of the liquid water and assume water vapours behave as an ideal gas.)

Q20·ChemistryNumericalJEE Main 2022

100 g of an ideal gas is kept in a cylinder of 416 L volume at 27°C under 1.5 bar pressure. The molar mass of the gas is ______ g mol

^{-1}

. (Nearest integer) (Given : R = 0.083 L bar K

^{-1}

mol

^{-1}

)

Q21·ChemistrySingle correctJEE Main 2022

Which amongst the given plots is the correct plot for pressure (p) vs density (d) for an ideal gas ?

(A)(A)
(B)(B)
(C)(C)
(D)(D)

Q22·ChemistryNumericalJEE Main 2021

Q23·ChemistrySingle correctJEE Main 2021

Which one of the following is the correct PV vs P plot at constant temperature for an ideal gas ? (P and V stand for pressure and volume of the gas respectively)

(A)(1)
(B)(2)
(C)(3)
(D)(4)

Q24·ChemistrySingle correctJEE Main 2021

The unit of the van der Waals gas equation parameter 'a' in

\left(\mathrm{P}+\dfrac{\mathrm{an^2}}{\mathrm{V^2}}\right)(\mathrm{V-nb}) = \mathrm{nRT}

is :

(A) $\mathrm{kg\ m\ s^{-2}}$
(B) $\mathrm{dm^3\ mol^{-1}}$
(C) $\mathrm{kg\ m\ s^{-1}}$
(D) $\mathrm{atm\ dm^6\ mol^{-2}}$

Q25·ChemistryNumericalJEE Main 2021

Two flasks I and II shown below are connected by a valve of negligible volume. When the valve is opened, the final pressure of the system in bar is x × 10

^{-2}

. The value of x is _____ . (Integer answer) [Assume–Ideal gas; 1 bar = 10

^{5}

Pa; Molar mass of N

_{2}

= 28.0 g mol

^{-1}

; R = 8.31 J mol

^{-1}

^{-1}

]

Q26·ChemistrySingle correctJEE Main 2021

The interaction energy of London forces between two particles is proportional to

\mathrm{r^x}

, where r is the distance between the particles. The value of x is :

(A)3
(B) $-3$
(C) $-6$
(D)6

Q27·ChemistryNumericalJEE Main 2021

2SO

_2

(g)+O

_2

(g) → 2SO

_3

(g) The above reaction is carried out in a vessel starting with partial pressure P

_{SO_2}

= 250 m bar, P

_{O_2}

= 750 m bar and P

_{SO_3}

= 0 bar. When the reaction is complete, the total pressure in the reaction vessel is ____________ m bar. (Round off to the Nearest Integer).

Q28·ChemistryNumericalJEE Main 2021

A home owner uses 4.00

\times 10^{3}

^{3}

of methane (CH

_4

) gas, (assume CH

_4

is an ideal gas) in a year to heat his home. Under the pressure of 1.0 atm and 300 K, mass of gas used is x

\times 10^{5}

g. The value of x is ____________. (Nearest integer) (Given R = 0.083 L atm K

^{-1}

mol

^{-1}

)

Q29·ChemistryNumericalJEE Main 2021

An LPG cylinder contains gas at a pressure of 300 kPa at

27^{\circ}C

. The cylinder can withstand the pressure of

1.2\times10^{6}

Pa. The room in which the cylinder is kept catches fire. The minimum temperature at which the bursting of cylinder will take place is______

^{\circ}C

. (Nearest integer)

Q30·ChemistryNumericalJEE Main 2021

The pressure exerted by a non-reactive gaseous mixture of 6.4 g of methane and 8.8 g of carbon dioxide in a 10 L vessel at

27^\circ

C is ________ kPa. (Round off to the Nearest Integer). [Assume gases are ideal, R = 8.314 J

\mathrm{mol^{-1}\ K^{-1}}

Atomic masses : C : 12.0 u, H : 1.0 u, O : 16.0 u]

Q31·ChemistryNumericalJEE Main 2021

A certain gas obeys P(V

_m

− b) = RT. The value of

\left(\frac{\partial Z}{\partial P}\right)_{T}

\frac{xb}{RT}

. The value of x is _______ .

Q32·ChemistryNumericalJEE Main 2021

Q33·ChemistryNumericalJEE Main 2021

The volume occupied by 4.75 g of acetylene gas at 50ºC and 740 mmHg pressure is ________L. (Rounded off to the nearest integer) (Given R = 0.0826 L atm

K^{-1}

mol^{-1}

)

Q34·ChemistrySingle correctJEE Advanced 2020

If the distribution of molecular speeds of a gas is as per the figure shown below, then the ratio of the most probable, the average and the roots mean square speeds, respectively, is

(A)1 : 1 : 1
(B)1 : 1 : 1.224
(C)1 : 1.128 : 1.224
(D)1 : 1.128 : 1

Q35·ChemistryNumericalJEE Main 2020

A spherical balloon of radius 3 cm containing helium gas has a pressure of

48\times10^{-3}

bar. At the same temperature, the pressure, of a spherical balloon of radius 12 cm containing the same amount of gas will be ______________

\times10^{-6}

bar.

Q36·ChemistrySingle correctJEE Main 2020

A mixture of one mole each of H

_{2}

, He and O

_{2}

each are enclosed in a cylinder of volume V at temperature T. If the partial pressure of H

_{2}

is 2 atm, the total pressure of the gases in the cylinder is:

(A)14 atm
(B)6 atm
(C)22 atm
(D)38 atm

Q37·ChemistrySingle correctJEE Main 2020

The predominant intermolecular forces present in ethyl acetate, a liquid, are:

(A)hydrogen bonding and London dispersion
(B)Dipole-dipole and hydrogen bonding
(C)London dispersion, dipole-dipole and hydrogen bonding
(D)London dispersion and dipole-dipole

Q38·ChemistrySingle correctJEE Main 2020

(A)(c)
(B)(a) and (c)
(C)(b)
(D)(a)

Q39·ChemistrySingle correctJEE Main 2020

The relative strength of interionic/intermolecular forces in decreasing order is

(A)ion-dipole > dipole-dipole > ion-ion
(B)dipole-dipole > ion-dipole > ion- ion
(C)ion-ion > ion-dipole > dipole-dipole
(D)ion-dipole > ion-ion > dipole-dipole

Q40·ChemistrySingle correctJEE Main 2020

Identify the correct labels of A, B and C in the following graph from the options given below Root mean square speed(

V_{rms}

); most probable speed(

V_{\mathrm{m}\mathrm{p}}

); Average speed(

V_{av}

)

(A)A- $V_{av}$ , B- $V_{rms}$ , C- $V_{\mathrm{m}\mathrm{p}}$
(B)A- $V_{rms}$ , B- $V_{\mathrm{m}\mathrm{p}}$ , C- $V_{av}$
(C)A- $V_{\mathrm{m}\mathrm{p}}$ , B- $V_{rms}$ , C- $V_{av}$
(D)A- $V_{\mathrm{m}\mathrm{p}}$ , B- $V_{av}$ , C- $V_{rms}$

Q41·ChemistryMultiple correctJEE Advanced 2019

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

_{rms}

) and average translational kinetic energy (

\varepsilon_{av}

) of a molecule in a gas at equilibrium ?

(A) $\varepsilon_{av}$ at a given temperature does not depend on its molecular mass
(B)U $_{rms}$ is doubled when its temperature is increased four times
(C) $\varepsilon_{av}$ is doubled when its temperature is increased four times
(D)U $_{rms}$ is inversely proportional to the square root of its molecular mass

Q42·ChemistrySingle correctJEE Main 2019

Consider the following table: a and b are van der Waals constants. The correct statement about the gases is:

Gas	a / (k Pa dm $^6$ mol $^{-1}$ )	b / (dm $^3$ mol $^{-1}$ )
A	642.32	0.05196
B	155.21	0.04136
C	431.91	0.05196
D	155.21	0.4382

(A)Gas C will occupy more volume than gas A ; gas B will be lesser compressible than gas D
(B)Gas C will occupy lesser volume than gas A ; gas B will be more compressible than gas D.
(C)Gas C will occupy lesser volume than gas A ; gas B will be lesser compressible than gas D
(D)Gas C will occupy more volume than gas A; gas B will be more compressible than gas D.

Q43·ChemistrySingle correctJEE Main 2019

Points I, II and III in the following plot respectively correspond to (V

_{\mathrm{m}\mathrm{p}}

: most probable velocity)

(A)V $_{\mathrm{m}\mathrm{p}}$ of N $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of H $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of O $_2$ (400K)
(B)V $_{\mathrm{m}\mathrm{p}}$ of H $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of N $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of O $_2$ (400K)
(C)V $_{\mathrm{m}\mathrm{p}}$ of O $_2$ (400K); V $_{\mathrm{m}\mathrm{p}}$ of N $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of H $_2$ (300K)
(D)V $_{\mathrm{m}\mathrm{p}}$ of N $_2$ (300K); V $_{\mathrm{m}\mathrm{p}}$ of O $_2$ (400K); V $_{\mathrm{m}\mathrm{p}}$ of H $_2$ (300K)

Q44·ChemistrySingle correctJEE Main 2019

Consider the van der Waals constants, a and b, for the following gases. Which gas is expected to have the highest critical temperature?

Gas	Ar	Ne	Kr	Xe
a/(atm dm $^6$ mol $^{-2}$ )	1.3	0.2	5.1	4.1
b/(10 $^{-2}$ dm $^3$ mol $^{-1}$ )	3.2	1.7	1.0	5.0

(A)Ar
(B)Xe
(C)Kr
(D)Ne

Q45·ChemistrySingle correctJEE Main 2019

At a given temperature T, gases Ne, Ar, Xe and Kr are found to deviate from ideal gas behaviour. Their equation of state is given as

P=\dfrac{RT}{V-b}

at T. Here, b is the van der Waals constant. Which gas will exhibit steeper increase in the plot of Z (compression factor) versus P?

(A)Ne
(B)Ar
(C)Xe
(D)Kr

Q46·ChemistrySingle correctJEE Main 2019

(A)500°C
(B)500 K
(C)750°C
(D)750 K

Q47·ChemistrySingle correctJEE Main 2019

The volume of gas A has is twice than that of gas B. The compressibility factor of gas A is thrice that that of gas B at same temperature. The pressure of gases for equal per moles are

(A) $3P_A = 2P_B$
(B) $2P_A = 3P_B$
(C) $P_A = 3P_B$
(D) $P_A = 2P_B$

Q48·ChemistrySingle correctJEE Main 2019

0.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m

^{3}

at 1000 K. Given R is the gas constant in JK

^{-1}

mol

^{-1}

, x is

(A) $\dfrac{2R}{4+R}$
(B) $\dfrac{2R}{4-R}$
(C) $\dfrac{4+R}{2R}$
(D) $\dfrac{4-R}{2R}$

Q49·ChemistryNumericalJEE Advanced 2018

m^{3}

) of the compartment A after the system attains equilibrium is ___.

Q50·ChemistryIntegerJEE Advanced 2016

x

times. The value of

x

Q51·ChemistryMultiple correctJEE Advanced 2015

One mole of a monoatomic real gas satisfies the equation

p(V - b) = RT

where b is a constant. The relationship of interatomic potential

V(r)

and interatomic distance r for the gas is given by

(A)(A)
(B)(B)
(C)(C)
(D)(D)

Q52·ChemistryIntegerJEE Advanced 2015

A closed vessel with rigid walls contains 1 mol of

^{238}_{92}\mathrm{U}

and 1 mol of air at 298 K. Considering complete decay of

^{238}_{92}\mathrm{U}

^{206}_{82}\mathrm{Pb}

, the ratio of the final pressure to the initial pressure of the system at 298 K is

Q53·ChemistrySingle correctJEE Advanced 2014

X and Y are two volatile liquids with molar weights of

10\ \mathrm{g\ mol^{-1}}

and

40\ \mathrm{g\ mol^{-1}}

respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length

L = 24

(A)larger mean free path for X as compared to that of Y.
(B)larger mean free path for Y as compared to that of X.
(C)increased collision frequency of Y with the inert gas as compared to that of X with the inert gas.
(D)increased collision frequency of X with the inert gas as compared to that of Y with the inert gas.

Q54·ChemistrySingle correctJEE Advanced 2014

X and Y are two volatile liquids with molar weights of

10\ \mathrm{g\ mol^{-1}}

and

40\ \mathrm{g\ mol^{-1}}

respectively. Two cotton plugs, one soaked in X and the other soaked in Y, are simultaneously placed at the ends of a tube of length

L = 24

cm, as shown in the figure. The tube is filled with an inert gas at 1 atmosphere pressure and a temperature of 300 K. Vapours of X and Y react to form a product which is first observed at a distance d cm from the plug soaked in X. Take X and Y to have equal molecular diameters and assume ideal behaviour for the inert gas and the two vapours. The value of d in cm (shown in the figure), as estimated from Graham's law, is

(A)8
(B)12
(C)16
(D)20

Q55·ChemistrySingle correctJEE Advanced 2013

(A)Heating, cooling, heating, cooling
(B)Cooling, heating, cooling, heating
(C)Heating, cooling, cooling, heating
(D)Cooling, heating, heating, cooling

Q56·ChemistrySingle correctJEE Advanced 2013

A fixed mass ‘m’ of a gas is subjected to transformation of states from K to L to M to N and back to K as shown in the figure The pair of isochoric processes among the transformation of states is

(A)K to L and L to M
(B)L to M and N to K
(C)L to M and M to N
(D)M to N and N to K

States of Matter: Gases and Liquids — frequently asked

How many questions from States of Matter: Gases and Liquids appear in JEE?

States of Matter: Gases and Liquids has appeared in 52 of the last 186 JEE Main and JEE Advanced papers — about 28% of them — contributing 56 questions in total across those papers.

Is States of Matter: Gases and Liquids an important chapter for JEE?

Where do these States of Matter: Gases and Liquids questions come from?

Every question is from an official JEE Main or JEE Advanced paper, transcribed from the original paper and tagged to this chapter. Answers follow the official answer key.

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