States of Matter — JEE Main PYQs

At the sea level, the dry air mass percentage composition is given as nitrogen gas : 70.0 , oxygen gas : 27.0 and argon gas : 3.0. If total pressure is 1.15 atm , then calculate the ratio of followings respectively :

(i) partial pressure of nitrogen gas to partial pressure of ox …

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. ${\mathrm{C}}_6{\mathrm{H}}_6$

Choose the correct option from the following :-

Three bulbs are filled with $\mathrm{CH}{}_4$, $\mathrm{CO}{}_2$ 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 i …

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)

At 600 K, the root mean square (rms) speed of gas X (molar mass $=40$) is equal to the most probable speed of gas $Y$ at 90 K. The molar mass of the gas Y is ______ ${\mathrm{g}\mathrm{mol}}^{-1}$. (Nearest integer)

A certain quantity of real gas occupies a volume of $0.15{\mathrm{dm}}^3$ at 100 atm and 500 K when its compressibility factor is 1.07. Its volume at 300 atm and 300 K (When its compressibility factor is 1.4) is $\_\_\_\_$ $\times 10^{-4}{\mathrm{dm}}^3$ (Nearest integer)

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R.

Assertion A: Amongst $\mathrm{He},\mathrm{Ne},\mathrm{Ar}$ and Kr ;
1 g of activated charcoal adsorbs more of Kr .
Reason R : The critical volume …

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 …

Based on the given figure, the number of correct statement/s is/are ____

A. Surface tension is the outcome of equal attractive and repulsion forces acting on the liquid molecule in bulk.
B. Surface tension is due to uneven forces acting on the molecules present on the surfac …

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 at point A ?

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 mm of Hg. The partial pressure of the gas X is ______ mm of Hg. (Nearest Integer)
(Given : molar mass $\mathrm{X}=20$ and …

'x' g of molecular oxygen (${\mathrm{O}}_2$) is mixed with 200 g of neon (Ne). The total pressure of the nonreactive mixture of ${\mathrm{O}}_2$ 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 ____ …

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 .... × 10⁻¹ atm. (Nearest integer)
(Given: The vapour pressure of water at 27°C is 0.4 atm)

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 Waal's constant 'b' should be $\_\_\_\_$ $\times 10^{-2}\mathrm{L}{\mathrm{mol}}^{-1}$ (Nearest integer)
(Given …

A sealed flask with a capacity of $2{\mathrm{dm}}^3$ contains 11 g of propane gas. The flask is so weak that it will burst if the pressure becomes 2 MPa . The minimum temperature at which the flask will burst is _____ ${}^{\circ }$C. [Nearest integer]
(Given: …

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)

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

A box contains 0.90 g of liquid water in equilibrium with water vapour at $27^{\circ }\mathrm{C}$. The equilibrium vapour pressure of water at $27^{\circ }\mathrm{C}$ 32.0 Torr. When the volume of the box is increased, some of the liquid water evaporates to maintain the equilibri …

A rigid nitrogen tank stored inside a laboratory has a pressure of 30 atm at 06:00 am when the temperature is $27^{\circ }\mathrm{C}$. At 03:00 pm, when the temperature is $45^{\circ }\mathrm{C}$, the pressure in the tank will be $\_\_\_\_$ atm. [nearest integer]

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 $x\times 10^{-2}$. The value of $x$ is ____. (Integer answer)
[Assume-Ideal gas; 1 bar $=10^5\mathrm{Pa}$; Molar mass of …

A car tyre is filled with nitrogen gas at 35 psi at $27^{\circ }\mathrm{C}$. It will burst if pressure exceeds 40 psi. The temperature in ${}^{\circ }\mathrm{C}$ at which the car tyre will burst is _____ (Rounded-off to the nearest integer)

A certain gas obeys $P\left(V_m-b\right)=RT$. The value of ${\left(\frac{\partial Z}{\partial P}\right)}_T$ is $\frac{xb}{RT}$. The value of $x$ is ____ (Integer answer) (Z : compressibility factor)

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

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)

An LPG cylinder contains gas at a pressure of 300 kPa at $27^{\circ }\mathrm{C}$. The cylinder can withstand the pressure of $1.2\times 10^6\mathrm{Pa}$. The room in which the cylinder is kept catches fire. The minimum temperature at which the bursting of cylinder will t …

$2{\mathrm{SO}}_2(\mathrm{g})+{\mathrm{O}}_2(\mathrm{g})\to 2{\mathrm{SO}}_3(\mathrm{g})$
The above reaction is carried out in a vessel starting with partial pressure ${\mathrm{P}}_{{\mathrm{SO}}_2}=250\mathrm{m}$ bar, ${\mathrm{P}}_{{\mathrm{O}}_2}=750\mathrm{m}$ b …

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 LP …

Identify the correct labels of $\mathrm{A},\mathrm{B}$ and C in the following graph from the options given below

Root mean square speed $({\mathrm{V}}_{\mathrm{rms}})$; most probable speed $({\mathrm{V}}_{\mathrm{mp}})$; Average speed $({\mathrm{V}}_{\mathrm{av}})$

A graph of vapour pressure and temperature for three different liquids $\mathrm{X},\mathrm{Y}$, 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 .
( …

A mixture of one mole each of ${\mathrm{H}}_2$, He and ${\mathrm{O}}_2$ each are enclosed in a cylinder of volume V at temperature T . If the partial pressure of ${\mathrm{H}}_2$ is 2 atm , the total pressure of the gases in the cylinder is:

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 spherical balloon of radius 12 cm containing the same amount of gas will be $\_\_\_\_$ $\times 10^{-6}$ bar.

Consider the van der Waals constants, $a$ and $b$, for the following gases.
| …

Points I, II and III in the following plot respectively correspond to ( ${\mathrm{V}}_{\mathrm{mp}}$ : most probable velocity)

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

The combination of plots which do not represent isothermal expansion of an ideal gas is:

An open vessel at $27^{\circ }\mathrm{C}$ 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 :

At a given temperature T , gases $\mathrm{Ne},\mathrm{Ar},\mathrm{Xe}$ and Kr are found to deviate from ideal gas behaviour. Their equation of state is given as $\mathrm{P}=\frac{\mathrm{RT}}{\mathrm{V}-\mathrm{b}}$ at T . Here, b is the van der Waals constant. Which gas will e …

0.5 moles of gas A and x moles of gas B exert a pressure of 200 Pa in a container of volume $10{\mathrm{m}}^3$ at 1000 K. Given R is the gas constant in ${\mathrm{JK}}^{-1}{\mathrm{mol}}^{-1},\mathrm{x}$ is

Consider the following table:

\begin{tabular}{lll}
Gas & $\mathrm{a}/(\mathrm{k}\mathrm{Pa}{\mathrm{dm}}^6{\mathrm{mol}}^{-1})$ & $\mathrm{b}/({\mathrm{dm}}^3{\mathrm{mol}}^{-1})$ \\
A & 642.32 & 0.05196 \\
B & 155.21 & 0.04136 \\
C & 431.91 & 0.05196 \\
D & 155.21 & 0.4 …

Two closed bulbs of equal volume ($V$) containing an ideal gas initially at pressure $p_{\mathrm{i}}$ and temperature $T_1$ are connected through a narrow tube of negligible volume as shown in the figure below. The temperature of one of the bulbs is then raised to …

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

For gaseous state, if most probable speed is denoated by $C^{\ast }$, average speed by $\bar{C}$ and mean square speed by C, then for a large number of molecules the ratios of these speeds are:

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

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

If $10^{-4}{\mathrm{dm}}^3$ of water is introduced into a $1.0{\mathrm{dm}}^3$ flask to 300 K , how many moles of water are in the vapour phase when equilibrium is established ?
(Given : Vapour pressure of ${\mathrm{H}}_2\mathrm{O}$ at 300 K is …

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

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?

As the temperature is raised from $20^{\circ }\mathrm{C}$ to $40^{\circ }\mathrm{C}$, the average kinetic energy of neon atoms changes by a factor of which of the following?

In Vander Waals equation of state of the gas law, the constant 'b' is a measure of

For which of the following parameters the structural isomers ${\mathrm{C}}_2{\mathrm{H}}_5\mathrm{OH}$ and ${\mathrm{CH}}_3{\mathrm{OCH}}_3$ would be expected to have the same values?
(Assume ideal behaviour)