At STP, a container has 1 mole of He, 2 moles Ne, 3 moles of $O_2$, and 4 moles ${\mathrm{N}}_2$. Without changing total pressure if 2 moles of ${\mathrm{O}}_2$ is removed, the partial pressure of ${\mathrm{O}}_2$ will be decreased by-

1. 26 %

2. 40 %

3. 58.33 %

4. 66.66 %

At 27$°$ C, the ratio of root mean square speeds of ozone to oxygen is-

1.$\sqrt{(3/5)}$

2. $\sqrt{(4/3)}$

3. $\sqrt{(2/3)}$

4. 0.25

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

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 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

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

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 

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

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

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