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## Numerical

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'x' g of molecular oxygen $$\left(\mathrm{O}_{2}\right)$$ is mixed with $$200 \mathrm{~g}$$ of neon (Ne). The total pres...
JEE Main 2022 (Online) 29th July Evening Shift
For a real gas at $$25^{\circ} \mathrm{C}$$ temperature and high pressure (99 bar) the value of compressibility factor i...
JEE Main 2022 (Online) 27th July Evening Shift
The molar heat capacity for an ideal gas at constant pressure is $$20.785 \mathrm{~J} \mathrm{~K}^{-1} \mathrm{~mol}^{-1... JEE Main 2022 (Online) 27th July Morning Shift A$$10 \mathrm{~g}$$mixture of hydrogen and helium is contained in a vessel of capacity$$0.0125 \mathrm{~m}^{3}$$at 6... JEE Main 2022 (Online) 26th July Evening Shift A mixture of hydrogen and oxygen contains$$40 \%$$hydrogen by mass when the pressure is$$2.2$$bar. The partial press... JEE Main 2022 (Online) 26th July Morning Shift A sealed flask with a capacity of 2 dm3 contains 11 g of propane gas. The flask is so weak that it will burst if the pre... JEE Main 2022 (Online) 25th July Evening Shift The pressure of a moist gas at$$27^{\circ} \mathrm{C}$$is$$4 \mathrm{~atm}$$. The volume of the container is doubled ... JEE Main 2022 (Online) 25th July Morning Shift 1.0 mol of monoatomic ideal gas is expanded from state 1 to state 2 as shown in the figure. The magnitude of the work do... JEE Main 2022 (Online) 30th June Morning Shift At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The mo... JEE Main 2022 (Online) 24th June Evening Shift A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is 27$$^\circ...
JEE Main 2022 (Online) 25th June Evening Shift
On complete combustion 0.30 g of an organic compound gave 0.20 g of carbon dioxide and 0.10 g of water. The percentage o...
JEE Main 2022 (Online) 26th June Morning 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 t...
JEE Main 2022 (Online) 28th June Evening Shift
Geraniol, a volatile organic compound, is a component of rose oil. The density of the vapour is 0.46 gL$$-$$1 at 257$$^\... JEE Main 2022 (Online) 29th June Morning Shift An empty LPG cylinder weighs 14.8 kg. When full, it weighs 29.0 kg and shows a pressure of 3.47 atm. In the course of us... JEE Main 2021 (Online) 1st September Evening Shift An LPG cylinder contains gas at a pressure of 300 kPa at 27$$^\circ$$. The cylinder can withstand the pressure of 1.2$$...
JEE Main 2021 (Online) 25th July Evening 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. ...
JEE Main 2021 (Online) 25th July Morning Shift
The vapour pressures of A and B at 25$$^\circ$$C are 90 mm Hg and 15 mm Hg respectively. If A and B are mixed such that ...
JEE Main 2021 (Online) 20th July Evening Shift
Consider the reaction $$N_{2}O_{4}\left( g\right) \rightleftharpoons 2NO_{2}\left( g\right)$$The temperature at whic...
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).[Assu...
JEE Main 2021 (Online) 17th March Evening Shift
At 363 K, the vapour pressure of A is 21 kPa and that of B is 18 kPa. One mole of A and 2 moles of B are mixed. Assuming...
JEE Main 2021 (Online) 16th March Evening Shift
A certain gas obeys P(Vm $$-$$ b) = RT. The value of $${\left( {{{\partial Z} \over {\partial P}}} \right)_T}$$ is $${{x... JEE Main 2021 (Online) 26th February Morning Shift 3.12 g of oxygen is adsorbed on 1.2 g of platinum metal. The volume of oxygen adsorbed per gram of the adsorbent at 1 at... JEE Main 2021 (Online) 26th February Morning Shift A car tyre is filled with nitrogen gas at 35 psi at 27$$^\circ$$C. It will burst if pressure exceeds 40 psi. The tempera... JEE Main 2021 (Online) 25th February Morning Slot The volume occupied by 4.75 g of acetylene gas at 50$$^\circ$$C and 740 mmHg pressure is __________ L. (Rounded off to t... JEE Main 2021 (Online) 24th February Evening Slot A spherical balloon of radius 3 cm containing helium gas has a pressure of 48$$ \times $$10–3 bar. At the same tempera... JEE Main 2020 (Online) 6th September Morning Slot ## MCQ (Single Correct Answer) More An evacuated glass vessel weighs 40.0 g when empty, 135.0 g when filled with a liquid of density 0.95 g mL$$-$$1 and 40.... JEE Main 2022 (Online) 26th June Morning Shift Which amongst the given plots is the correct plot for pressure (p) vs density (d) for an ideal gas? JEE Main 2022 (Online) 27th June Evening Shift Which one of the following is the correct PV vs P plot at constant temperature for an ideal gas? (P and V stand for pres... JEE Main 2021 (Online) 31st August Morning Shift The unit of the van der Waals gas equation parameter 'a' in$$\left( {P + {{a{n^2}} \over {{V^2}}}} \right)(V - nb) = nR...
JEE Main 2021 (Online) 27th August Morning Shift
The interaction energy of London forces between two particles is proportional to rx, where r is the distance between the...
JEE Main 2021 (Online) 26th August Evening Shift
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 partia...
JEE Main 2020 (Online) 3rd September Evening Slot
Which one of the following graphs is not correct for ideal gas? d = Density, P = Pressure, T = Temperature...
JEE Main 2020 (Online) 2nd September Morning Slot
Points I, II and III in the following plot respectively correspond to (Vmp : most probable velocity) ...
JEE Main 2019 (Online) 10th April Evening Slot
Consider the following table : .tg {border-collapse:collapse;border-spacing:0;border-color:#9ABAD9;} .tg td{font-famil...
JEE Main 2019 (Online) 10th April Morning Slot
At a given temperature T, gases Ne, Ar, Xe and Kr are found to deviate from ideal gas behaviour. Their equation of state...
JEE Main 2019 (Online) 9th April Evening Slot
Consider the van der Waals constants, a and b, for the following gases. .tg {border-collapse:collapse;border-spacing:0...
JEE Main 2019 (Online) 9th April Morning 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 ass...
JEE Main 2019 (Online) 12th January Evening 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 sam...
JEE Main 2019 (Online) 12th 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 ...
JEE Main 2019 (Online) 9th January Morning Slot
Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chloride at same temperature and press...
JEE Main 2018 (Online) 16th 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 m...
JEE Main 2017 (Online) 9th April Morning Slot
Among the following, the incorrect statement is :
JEE Main 2017 (Online) 8th April Morning Slot
Initially, the root mean square (rms) velocity of N2 molecules at certain temperature is $$u$$. If this temperature is d...
JEE Main 2016 (Online) 10th April Morning Slot
At very high pressures, the compressibility factor of one mole of a gas is given by :
JEE Main 2016 (Online) 9th April Morning Slot
Two closed bulbs of equal volume $$(V)$$ containing an ideal gas initially at pressure $${p_i}$$ and temperature $${T_1}... JEE Main 2016 (Offline) If Z is a compressibility factor, van der Waals equation at low pressure can be written as: JEE Main 2014 (Offline) For gaseous state, if most probable speed is denoted by C*, average speed by$$\mathop C\limits^{\_\_}  and mean squa...
JEE Main 2013 (Offline)
The compressibility factor for a real gas at high pressure is :
AIEEE 2012
'a’ and `b’ are van der Waals’ constants for gases. Chlorine is more easily liquefied than ethane because
AIEEE 2011
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 e...
AIEEE 2010
Equal masses of methane and oxygen are mixed in an empty container at 25oC. The fraction of the total pressure exerted b...
AIEEE 2007
Which one of the following statements is NOT true about the effect of an increase in temperature on the distribution of ...
AIEEE 2005
In Van der Waals equation of state of the gas law, the constant ‘b’ is a measure of
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...
AIEEE 2004
According to the kinetic theory of gases, in an ideal gas, between two successive collisions of a gas molecule travels
AIEEE 2003
Kinetic theory of gases proves
AIEEE 2002
Value of gas constant R is
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

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