Gaseous State

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 $m_2$ a...

Molar volume (Vm) of a van der Waals gas can be calculated by expressing the van der Waals equation as a cubic equation with Vm as the variable. The ratio (in mol dm−3) of the coefficient of Vm2 to the coefficient of Vm for a gas having van...

A closed vessel contains $10 \mathrm{~g}$ of an ideal gas $\mathbf{X}$ at $300 \mathrm{~K}$, which exerts $2 \mathrm{~atm}$ pressure. At the same temperature, $80 \mathrm{~g}$ of another ideal gas $\mathbf{Y}$ is added to it and the pressur...

A gas has a compressibility factor of 0.5 and a molar volume of $0.4 ~\mathrm{dm}^3 \mathrm{~mol}^{-1}$ at a temperature of $800 \mathrm{~K}$ and pressure $\mathbf{x}$ atm. If it shows ideal gas behaviour at the same temperature and pressur...

Aluminium reacts with sulphuric acid to form aluminium sulphate and hydrogen. What is the volume of hydrogen gas in litre (L) produced at 300 K and 1.0 atm pressure, when 5.4 g of aluminium and 50.0 mL of 5.0 M sulphuric acid are combined f...

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 root mean square speeds, respectively, is

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 t...

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

An ideal gas in thermally insulated vessel at internal pressure = p1, volume = V1 and absolute temperature = T1 expands irreversibly against zero external pressure, as shown in the diagram.The final internal pressure, volume and absolute te...

For one mole of a van der Waals gas when b = 0 and T = 300 K, the PV vs. 1/V plot is shown below. The value of the van der Waals constant a (atm L2 mol\(-\)2) is

According to kinetic theory of gases

To an evacuated vessel with movable piston under external pressure of 1 atm, 0.1 mol of He and 1.0 mol of an unknown compound (vapour pressure 0.68 atm, at 0oC) are introduced. Considering the ideal gas behaviour, the total volume (in litre...

At 400 K, the root mean square (rms) speed of a gas X (molecular weight = 40) is equal to the most probable speed of gas Y at 60 K. The molecular weight of the gas Y is ___________.

The term that corrects for the attractive forces present in a real gas in the van der Waals equation is

A gas described by van Der Waals equation

Match gases under specified conditions listed in Column I with their properties/laws in Column II. Indicate your answer by darkening the appropriate bubbles of the 4 \(\times\) 4 matrix given in the ORS.

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The given graph represents the variation of Z (compressibility factor $=\mathrm{PV} / n \mathrm{RT}$ ) versus P , for three real gases $\mathrm{A}, \mathrm{B}$ and C . Identify the only incorrect statement.

One mole of nitrogen gas at 0.8 atm takes 38 s to diffuse through a pinhole. whereas one mole of an unknown compound of xenon with flourine at 1.6 atm takes 57 s to diffuse through the same hole. Calculate the molecular formula of the compo...

A mixture of ideal gas is cooled upto liquid helium temperature (4.22K) to form an ideal solution

A 4 : 1 molar mixture of He and CH4 is contained in a vessel at 20 bar pressure. Due to a hole in the vessel the gas mixture leaks out. What is the composition of the mixture effusing out initially?

An LPG (liquefied petroleum gas) cylinder weighs 14.8 kg when empty. When full, it weighs 29.0 kg and shows a pressure of 2.5 atm. In the course of use at 27o C, the weight of the full cylinder reduces to 23.2 kg. Find out the volume of the...

In the van der Waal's equation (P + \({{{n^2}a} \over {{V^2}}}\))(V - nb) = nRT the constant 'a' reflects the actual volume of the gas molecules.

A gas bulb of 1 litre capacity contains 2.0 \(\times\) 1021 molecules of nitrogen exerting a pressure of 7.57 \(\times\) 103 Nm-2. Calculate the root mean square (r.m.s) speed and the temparature of the gas molecules. If the ratio of the m...

At room temperature the following reacton is procedd nearly to completion:
2NO + O2 \(\to\) 2NO2 \(\to\) N2O4
The dimer, N2O4, solidifies at 262 K. A 250 ml flask and a 100 ml flask are separated by a stop-cock. At 300 K, the nitric oxid...

At 27oC, hydrogen is leaked through a tiny hole into a vessel for 20 minutes. Another unknown gas at the same temperature and pressure as that of H2 is leaked through the same hole for 20 minutes After the effusion of the gases the mixture ...

Calculate the volume occupied by 5.0 g of acetylene gas at 50oC and 740 mm pressure.

Eight gram each of oxygen and hydrogen at 27oC will have the total kinetic energy in the ratio of _______.

A spherical balloon of 21 cm diameter is to be filled up with hydrogen at N.T.P from a cylinder containing the gas at 20 atmospheres at 27oC. If the cylinder can hold 2.82 litres of water, calculate the number of balloons that can be filled...

The value of PV for 5.6 litres of an ideal gas is ________ RT, at NTP.

The rate of diffusion of gas is _______ proportional to both ________ and square root of molecular mass.

The average velocity of an ideal gas molecule at 27oC is 0.3m/sec. The average velocity at 927oC will be

A gas in a closed container will exert much higher pressure due to gravity at the bottom than at the top.

Kinetic Energy of a Molecule is zero at 0oC.

Rate of diffusion of a gas is

Calculate the root mean square velocity of ozone kept in a closes vessel at 20oC and 82 cm mercury pressure.

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

Cp - Cv for an ideal gas is _______

The total energy of one mole of an ideal monatomic gas at 27o is _______ calories.

At room temparature, ammonia gas at 1 atm pressure and hydrogen chloride gas at P atm pressure are allowed to effuse through identical pin holes from opposite ends of a glass tube of one metre length and of uniform cross-section. Ammonium c...

Helium atom is two times heavier than a hydrogen molecule. At 298 K, the average kinetic energy of a helium atom is

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

The temperature at which a real gas obeys the ideal gas aws over a wide range of pressure is

The ratio of root mean square velocity to average velocity of a gas molecule at a particular temperature is