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# Gaseous State · Chemistry · JEE Main

Start Practice## Numerical

JEE Main 2023 (Online) 13th April Morning Shift

A certain quantity of real gas occupies a volume of $$0.15~ \mathrm{dm}^{3}$$ at $$100 \mathrm{~atm}$$ and $$500 \mathrm{~K}$$ when its compressibilit...

JEE Main 2023 (Online) 12th April Morning Shift

At $$600 \mathrm{~K}$$, the root mean square (rms) speed of gas $$\mathrm{X}$$ (molar mass $$=40$$ ) is equal to the most probable speed of gas $$\mat...

JEE Main 2023 (Online) 10th April Morning Shift

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 intege...

JEE Main 2023 (Online) 8th April Morning Shift

Three bulbs are filled with $$\mathrm{CH}_{4}, \mathrm{CO}_{2}$$ and $$\mathrm{Ne}$$ as shown in the picture. The bulbs are connected through pipes o...

JEE Main 2023 (Online) 31st January Morning Shift

The total pressure of a mixture of non-reacting gases $$\mathrm{X}(0.6 \mathrm{~g})$$ and $$\mathrm{Y}(0.45 \mathrm{~g})$$ in a vessel is $$740 \mathr...

JEE Main 2023 (Online) 30th January Morning Shift

A $$300 \mathrm{~mL}$$ bottle of soft drink has $$0.2 ~\mathrm{M}~ \mathrm{CO}_{2}$$ dissolved in it. Assuming $$\mathrm{CO}_{2}$$ behaves as an ideal...

JEE Main 2023 (Online) 24th January Evening Shift

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 followi...

JEE Main 2022 (Online) 29th July Evening Shift

'x' g of molecular oxygen $$\left(\mathrm{O}_{2}\right)$$ is mixed with $$200 \mathrm{~g}$$ of neon (Ne). The total pressure of the non-reactive mixtu...

JEE Main 2022 (Online) 27th July Evening Shift

For a real gas at $$25^{\circ} \mathrm{C}$$ temperature and high pressure (99 bar) the value of compressibility factor is 2, so the value of Vander Wa...

JEE Main 2022 (Online) 26th July Evening Shift

A $$10 \mathrm{~g}$$ mixture of hydrogen and helium is contained in a vessel of capacity $$0.0125 \mathrm{~m}^{3}$$ at 6 bar and $$27^{\circ} \mathrm{...

JEE Main 2022 (Online) 26th July Morning Shift

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. (Neare...

JEE Main 2022 (Online) 25th July Evening Shift

A sealed flask with a capacity of 2 dm3 contains 11 g of propane gas. The flask is so weak that it will burst if the pressure becomes 2 MPa. The minim...

JEE Main 2022 (Online) 25th July Morning Shift

The pressure of a moist gas at $$27^{\circ} \mathrm{C}$$ is $$4 \mathrm{~atm}$$. The volume of the container is doubled at the same temperature. The n...

JEE Main 2022 (Online) 29th June Morning Shift

Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 gL$$-$$1 at 257$$^\circ$$C and 100 mm Hg. The mol...

JEE Main 2022 (Online) 28th June Evening Shift

100 g of an ideal gas is kept in a cylinder of 416 L volume at 27$$^\circ$$C under 1.5 bar pressure. The molar mass of the gas is __________ g mol$$-$...

JEE Main 2022 (Online) 26th June Morning Shift

2.0 g of H2 gas is adsorbed on 2.5 g of platinum powder at 300 K and 1 bar pressure. The volume of the gas adsorbed per gram of the adsorbent is _____...

JEE Main 2022 (Online) 25th June Evening Shift

A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is 27$$^\circ$$C. At 03:00 pm, when the tem...

JEE Main 2022 (Online) 24th June Evening Shift

At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is _________...

JEE Main 2021 (Online) 1st September Evening Shift

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 ...

JEE Main 2021 (Online) 25th July Evening Shift

An LPG cylinder contains gas at a pressure of 300 kPa at 27$$^\circ$$. The cylinder can withstand the pressure of 1.2 $$\times$$ 106 Pa. The room in w...

JEE Main 2021 (Online) 25th July Morning Shift

A home owner uses 4.00 $$\times$$ 103 m3 of methane (CH4) gas, (assume CH4 is an ideal gas) in a year to heat his home. Under the pressure of 1.0 atm ...

JEE Main 2021 (Online) 17th March Evening Shift

The number of chlorine atoms in 20 mL of chlorine gas at STP is _________ 1021. (Round off to the Nearest Integer).[Assume chlorine is an ideal gas at...

JEE Main 2021 (Online) 17th March Morning Shift

The pressure exerted by a non-reactive gaseous mixture of 6.4g of methane and 8.8 g of carbon dioxide in a 10L vessel at 27$$^\circ$$C is __________ k...

JEE Main 2021 (Online) 26th February Morning Shift

3.12 g of oxygen is adsorbed on 1.2 g of platinum metal. The volume of oxygen adsorbed per gram of the adsorbent at 1 atm and 300 K in L is __________...

JEE Main 2021 (Online) 26th February Morning Shift

A certain gas obeys P(Vm $$-$$ b) = RT. The value of $${\left( {{{\partial Z} \over {\partial P}}} \right)_T}$$ is $${{xb} \over {RT}}$$. The value of...

JEE Main 2021 (Online) 25th February Morning Shift

A car tyre is filled with nitrogen gas at 35 psi at 27$$^\circ$$C. It will burst if pressure exceeds 40 psi. The temperature in $$^\circ$$C at which t...

JEE Main 2021 (Online) 24th February Evening Shift

The volume occupied by 4.75 g of acetylene gas at 50$$^\circ$$C and 740 mmHg pressure is __________ L. (Rounded off to the nearest integer)[Given R = ...

JEE Main 2020 (Online) 6th September Morning Slot

A spherical balloon of radius 3 cm containing
helium gas has a pressure of 48 $$ \times $$ 10–3 bar. At
the same temperature, the pressure, of a
spher...

JEE Main 2020 (Online) 8th January Evening Slot

NaClO3 is used, even in spacecrafts, to produce
O2. The daily consumption of pure O2 by a
person is 492L at 1 atm, 300K. How much
amount of NaClO3, in...

## MCQ (Single Correct Answer)

JEE Main 2023 (Online) 8th April Evening Shift

Arrange the following gases in increasing order of van der Waals constant 'a'
A. Ar
B. $$\mathrm{CH}_{4}$$
C. $$\mathrm{H}_{2} \mathrm{O}$$
D. $$\math...

JEE Main 2023 (Online) 29th January Morning Shift

For 1 mol of gas, the plot of pV vs. p is shown below. p is the pressure and V is the volume of the gas
What is the value of compressibility factor a...

JEE Main 2022 (Online) 27th June Evening Shift

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

JEE Main 2022 (Online) 26th June Morning Shift

An evacuated glass vessel weighs 40.0 g when empty, 135.0 g when filled with a liquid of density 0.95 g mL$$-$$1 and 40.5 g when filled with an ideal ...

JEE Main 2021 (Online) 31st August Morning Shift

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 res...

JEE Main 2021 (Online) 27th August Morning Shift

The unit of the van der Waals gas equation parameter 'a' in $$\left( {P + {{a{n^2}} \over {{V^2}}}} \right)(V - nb) = nRT$$ is :

JEE Main 2021 (Online) 26th August Evening Shift

The interaction energy of London forces between two particles is proportional to rx, where r is the distance between the particles. The value of x is ...

JEE Main 2020 (Online) 3rd September Evening Slot

A mixture of one mole each of H2
, He and O2
each are enclosed in a cylinder of volume V at
temperature T. If the partial pressure of H2
is 2 atm, th...

JEE Main 2020 (Online) 2nd September Morning Slot

Which one of the following graphs is not
correct for ideal gas?
d = Density, P = Pressure, T = Temperature...

JEE Main 2020 (Online) 7th January Evening Slot

Identify the correct labels of A,B and C in the following graph from the options given below :
Root mean square speed (Vrms); most probable speed (Vm...

JEE Main 2019 (Online) 10th April Evening Slot

Points I, II and III in the following plot respectively correspond to (Vmp : most probable velocity)
...

JEE Main 2019 (Online) 10th April Morning Slot

Consider the following table :
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.tg td{font-family:Arial, sans-serif;font-size:...

JEE Main 2019 (Online) 9th April Evening Slot

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 = {{RT} \over...

JEE Main 2019 (Online) 9th April Morning Slot

Consider the van der Waals constants, a and b,
for the following gases.
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.tg td{font-famil...

JEE Main 2019 (Online) 12th January Evening Slot

An open vessel at 27oC is heated until two fifth of the air (assumed as an ideal gas) it has escaped from the vessel assuming that the volume of the v...

JEE Main 2019 (Online) 12th January Morning Slot

The volume of gas A is twice than that of gas B. The compressibility factor of gas A is thrice than that of gas B at same temperature. The pressures o...

JEE Main 2019 (Online) 9th January Morning Slot

0.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume 10 m3 at 1000 K. Given R is the gas constant in JK$$-$$1mo...

JEE Main 2018 (Online) 16th April Morning Slot

Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chloride at same temperature and pressure is : (Atomic wt. of Cl = 3...

JEE Main 2017 (Online) 9th April Morning Slot

At 300 K, the density of a certain gaseous molecule at 2 bar is double to that of
dinitrogen (N2 ) at 4 bar. The molar mass of gaseous molecule is :...

JEE Main 2017 (Online) 8th April Morning Slot

Among the following, the incorrect statement is :

JEE Main 2016 (Online) 10th April Morning Slot

Initially, the root mean square (rms) velocity of N2 molecules at certain temperature is $$u$$. If this temperature is doubled and all the nitrogen mo...

JEE Main 2016 (Online) 9th April Morning Slot

At very high pressures, the compressibility factor of one mole of a gas is given by :

JEE Main 2016 (Offline)

Two closed bulbs of equal volume $$(V)$$ containing an ideal gas initially at pressure $${p_i}$$ and temperature $${T_1}$$ are connected through a nar...

JEE Main 2014 (Offline)

If Z is a compressibility factor, van der Waals equation at low pressure can be written as:

JEE Main 2013 (Offline)

For gaseous state, if most probable speed is denoted by C*, average speed by $$\mathop C\limits^{\_\_} $$ and mean square speed by
C, then for a larg...

AIEEE 2012

The compressibility factor for a real gas at high pressure is :

AIEEE 2011

'a’ and `b’ are van der Waals’ constants for gases. Chlorine is more easily liquefied than ethane because

AIEEE 2010

If 10–4 dm3 of water is introduced into a 1.0 dm3 flask to 300 K, how many moles of water are in the vapour phase when equilibrium is established ?
(G...

AIEEE 2007

Equal masses of methane and oxygen are mixed in an empty container at 25oC. The fraction of the
total pressure exerted by oxygen is

AIEEE 2005

Which one of the following statements is NOT true about the effect of an increase in
temperature on the distribution of molecular speeds in a gas?

AIEEE 2004

As the temperature is raised from 20°C to 40°C, the average kinetic energy of neon atoms
changes by a factor of which of the following?

AIEEE 2004

In Van der Waals equation of state of the gas law, the constant ‘b’ is a measure of

AIEEE 2003

According to the kinetic theory of gases, in an ideal gas, between two successive collisions of a gas molecule travels

AIEEE 2002

For an ideal gas, number of moles per litre in terms of its pressure P, gas constant R and temperature T is

AIEEE 2002

Value of gas constant R is

AIEEE 2002

Kinetic theory of gases proves