The graph which represents the variation of mean kinetic energy of molecules with temperature $t°C$ is ?

1.		2.
3.		4.

The average kinetic energy of a helium atom at $30°C$ is:                                                                                           [MP PMT 2004]

1. Less than 1 eV

2. A few KeV

3. 50-60 eV

4. 13.6 eV

The average kinetic energy of a gas molecule can be determined by knowing:                                        [RPET 2000, MP PET 2010]

1. The number of molecules in the gas

2. The pressure of the gas only

3. The temperature of the gas only

4. None  of the above is enough by itself

One liter of gas A and two liters of gas B, both having the same temperature 100$°$C and the same pressure 2.5 bar will have the ratio of average kinetic energies of their molecules as:

1. 1:1       

2. 1:2     

3. 1:4       

4. 4:1

The kinetic energy of one gram molecule of a gas at standard temperature and pressure is: (R = 8.31 J/mol-K)

1. 0.56 $\times {10}^4<mspace\; width="1em"></mspace>J$             

2. $1.3\times {10}^2<mspace\; width="1em"></mspace>J$

3. $2.7\times {10}^2<mspace\; width="1em"></mspace>J$                 

4. $3.4\times {10}^3<mspace\; width="1em"></mspace>J$

Gases exert pressure on the walls of containing vessel because  the gas molecules:

1. Possess momentum

2. collide with each other

3. have finite volume

4. obey gas laws

An ideal gas is filled in a vessel, then

1. If it is placed inside a moving train, its temperature increases

2. Its centre of mass moves randomly

3. Its temperature remains constant in a moving car

4. None of these

If P is the pressure of the gas then the KE per unit volume of the gas is:

1.  $\frac{P}{2}<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

2.  $P<mspace\; width="1em"></mspace><mspace\; width="1em"></mspace>$

3.  $<mspace\; width="1em"></mspace>\frac{3P}{2}<mspace\; width="1em"></mspace>$

4.  $<mspace\; width="1em"></mspace>2P$

A gas mixture consist of 2 moles of $O_2$ and 4 moles of Ar at temperature T. Neglecting all vibrational modes, the total internal energy of the system is:

1. 4RT 

2. 15RT

3. 9RT

4. 11RT

A given sample of an ideal gas occupies a volume V at a pressure p and absolute temperature T. The mass of each molecule of the gas is m. Which of the following gives the density of the gas?

1. p/(kT)        
2. pm / (kT)
3. p/ (kTV)     
4. mkT