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## Numerical

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...

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...

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...

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...

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...

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...

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...

'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...

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...

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{...

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...

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...

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...

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...

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$$-$...

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 _____...

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...

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 _________...

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 ...

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...

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 ...

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...

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...

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 __________...

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...

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...

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 = ...

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...

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)

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...

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...

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

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 ...

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...

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 :

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 ...

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...

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

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...

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

Consider the following table :
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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...

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

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...

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...

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...

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 :...

Among the following, the incorrect statement is :

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...

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

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...

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 denoted by C*, average speed by $$\mathop C\limits^{\_\_} $$ and mean square speed by
C, then for a larg...

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 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...

Equal masses of methane and oxygen are mixed in an empty container at 25oC. 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°C to 40°C, the average kinetic energy of neon atoms
changes by a factor of which of the following?

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

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

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

Value of gas constant R is

Kinetic theory of gases proves