One litre of Helium gas at a pressure 76 cm of Hg and temperature 27°C is heated till its pressure and volume are doubled. The final temperature attained by the gas is :

1.  927°C                                 

2.  900°C

3.  627°C                                 

4.  327°C

The molecular weight of a gas is 44. The volume occupied by 2.2 g of this gas at $0°\mathrm{C}$ and 2 atm pressure will be-

1.  0.56 litre                           

2.  1.2 litres

3.  2.4 litres                           

4.  5.6 litres

A gas at \(27^{\circ}\text{C}\) temperature and \(30\) atmospheric pressure is allowed to expand to the atmospheric pressure. If the volume becomes \(10\) times its initial volume, then the final temperature becomes:
1. \(100^{\circ}\text{C}\)
2. \(173^{\circ}\text{C}\)
3. \(273^{\circ}\text{C}\)
4. \(-173^{\circ}\text{C}\)

In the relation $\mathrm{n}=\frac{\mathrm{PV}}{\mathrm{RT}}, \mathrm{n}=$

1.  Number of molecules                             

2.  Atomic number

3.  Mass number                                         

4.  Number of moles

The equation of state corresponding to 8 g of ${\mathrm{O}}_2$ is :

1.  PV = 8RT                           

2.  PV = RT/4

3.  PV = RT                             

4.  PV = RT/2

Three containers of the same volume contain three different gases. The masses of the molecules are ${\mathrm{m}}_1, {\mathrm{m}}_2$ and ${\mathrm{m}}_3$ and the number of molecules in their respective containers are ${\mathrm{N}}_1, {\mathrm{N}}_2$ and ${\mathrm{N}}_3$ . The gas pressure in the containers are ${\mathrm{P}}_1, {\mathrm{P}}_2$ and ${\mathrm{P}}_3$ respectively. All the gases are now mixed and put in one of the containers. The pressure P of the mixture will be :

1. $\mathrm{P}<\left({\mathrm{P}}_1+{\mathrm{P}}_2+{\mathrm{P}}_3\right)$                               

2. $\mathrm{P}=\frac{{\mathrm{P}}_1+{\mathrm{P}}_2+{\mathrm{P}}_3}{3}$

3. $\mathrm{P}={\mathrm{P}}_1+{\mathrm{P}}_2+{\mathrm{P}}_3$                                 

4. $\mathrm{P}>\left({\mathrm{P}}_1+{\mathrm{P}}_2+{\mathrm{P}}_3\right)$

At a given volume and temperature, the pressure of a gas :

1. Varies inversely as its mass

2. Varies inversely as the square of its mass

3. Varies linearly as its mass

4. Is independent of its mass

The rate of diffusion is :

1. Faster in solids than in liquids and gases

2. Faster in liquids than in solids and gases

3. Equal to solids, liquids, and gases

4. Faster in gases than in liquids and solids

Two thermally insulated vessels 1 and 2 are filled with air at temperatures $\left({\mathrm{T}}_1, {\mathrm{T}}_2\right),$ volume $\left({\mathrm{V}}_1, {\mathrm{V}}_2\right)$ and pressure $\left({\mathrm{P}}_1, {\mathrm{P}}_2\right)$ respectively. If the valve joining the two vessels is opened, the temperature inside the vessel at equilibrium will be

1. ${\mathrm{T}}_1+{\mathrm{T}}_2$                               

2. $\left({\mathrm{T}}_1+{\mathrm{T}}_2\right)/2$

3. $\frac{{\mathrm{T}}_1{\mathrm{T}}_2\left({\mathrm{P}}_1{\mathrm{V}}_1+{\mathrm{P}}_2{\mathrm{V}}_2\right)}{{\mathrm{P}}_1{\mathrm{V}}_1{\mathrm{T}}_2+{\mathrm{P}}_2{\mathrm{V}}_2{\mathrm{T}}_1}$                 

4. $\frac{{\mathrm{T}}_1{\mathrm{T}}_2\left({\mathrm{P}}_1{\mathrm{V}}_1+{\mathrm{P}}_2{\mathrm{V}}_2\right)}{{\mathrm{P}}_1{\mathrm{V}}_1{\mathrm{T}}_2+{\mathrm{P}}_2{\mathrm{V}}_2{\mathrm{T}}_2}$

For matter to exist simultaneously in gas and liquid phases :

1. The temperature must be 0 K.

2. The temperature must be less than $0°\mathrm{C}$.

3. The temperature must be less than the critical temperature.

4. The temperature must be less than the reduced temperature.