A 200 mL flask having oxygen at 220 mm and a 300 mL flask having nitrogen at 100 mm are connected in such a way that ${\mathrm{O}}_2 \mathrm{and} {\mathrm{N}}_2$ may combine in their volumes if temperature is kept constant. The total pressure of the gaseous mixture is-

1. 158 mm

2. 138 mm

3. 148 mm

4. 168 mm

The partial pressure of oxygen in a flask containing 16 g ${\mathrm{O}}_2$ and 32 g ${\mathrm{SO}}_2$ is-

1. 1/16 of total pressure

2. 1/2 of total pressure

3. 2/3 of total pressure

4. None of the above

Equal weights of ethane and hydrogen gas are mixed in an empty container at $25°\mathrm{C}$. The fraction of total pressure exerted by hydrogen is-

1. 1: 2

2. 1: 1

3. 1: 16

4. 15: 16

The compressibility factor of a gas is less than unity at STP. The correct statement among the following is -

1. ${\mathrm{V}}_{\mathrm{m}}$  > 22.4 L

2. ${\mathrm{V}}_{\mathrm{m}}$ < 22.4 L

3. ${\mathrm{V}}_{\mathrm{m}}$ = 22.4 L

4. ${\mathrm{V}}_{\mathrm{m}}$ = 44.8 L

A 2.24 L cylinder of oxygen at STP is found to develop a leakage. When the leakage was plugged, the pressure dropped to 570 mm of Hg. The number of moles of gas that escaped will be:

1. 0.050

2. 0.025

3. 0.075

4. 0.01

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

1. Same as that of a hydrogen molecule

2. Half that of a hydrogen molecule

3. Two times that of a hydrogen molecule 

4. Four times that of a hydrogen molecule 

The rate of diffusion of methane at a given temperature is twice that of a gas X. The molecular weight of X is

1. 64.0

2. 32.0

3. 4.0

4. 8.0

The density of a gas is 1.964 g ${\mathrm{dm}}^{-3}$ at 273 K and 76 cm Hg. The gas is-

1.  ${\mathrm{CH}}_4$

2.  ${\mathrm{C}}_2{\mathrm{H}}_6$

3.  ${\mathrm{CO}}_2$

4.  Xe

6.4 grams of $\mathrm{a}$ $\mathrm{gas}, \mathrm{at}$ $0°\mathrm{C}$ and 0.99 atm pressure occupies a volume of 2.241 L. The correct statement about this gas is-

[Molecular mass of gas A =64]

1.  The gas is ideal

2.  The gas is real with intermolecular attraction

3.  The gas is real without intermolecular repulsion

4.  The gas is real with intermolecular repulsion greater than intermolecular attraction

The compressibility factor for 1 mol of a van der Waals gas at $0°\mathrm{C}$ and 100 atmospheric pressure is found to be 0.5. The volume of gas is-

1. 2.0224 L

2. 1.4666 L

3. 0.8542 L

4. 0.1119 L