Question 1 :
A system consists of N particles, which have independent K relations among one another. The number of degrees of freedom of the system is given by :

Question 4 :
The number of degrees of freedom in an oxygen molecule is

Question 5 :
Assertion: Rate of diffusion of a gas is inversely proportional to the square rate of its density Reason: Hydrogen is the lightest gas known. so it diffuses most readily

Question 6 :
A polyatomic gas with n degrees of freedom has a mean energy per molecules given by :

Question 8 :
Gas exerts pressure on the walls of container because the molecules-

Question 9 :
<p class="wysiwyg-text-align-left">For perfect gas, the ratio of volume coefficient of expansion to pressure coefficient is :<br/></p>

Question 10 :
The value of universal gas constant is $8.3\ J/mole/K$, the mean kinetic energy of $32gm$ of oxygen at $-73^oC$ will be

Question 11 :
A gas has an average speed of $10 m/s$ and an average time of $0.1 s$ between collisions. What is its mean free path?<br/>

Question 13 :
The internal energy of air in a room of volume 50 m$^3$ at atmospheric pressure will be

Question 14 :
Reducing the pressure from $1.0$ atm to $0.5$ atm would change the number of molecules in one mole of ammonia to?

Question 15 :
Energy of all molecules of a monatomic gas having a volume $V$ and pressure $P$ is $\displaystyle\frac{3}{2}\:PV$. The total translational kinetic energy of all molecules of a diatomic gas at the same volume and pressure is

Question 16 :
State whether true or false:Mean free path order for some gases at 273 K and 1 atm P is<br/>$He &gt; H_2 &gt; O_2 &gt; N_2 &gt; CO_2$

Question 17 :
A quantity of $10$g of a gas at $1$ atm pressure is cooled from $273^o$C to $273$K keeping its volume constant, the final pressure of the gas will be?

Question 18 :
$3$ mole of gas ''X" and $2$ moles of gas "Y" enters from end "P" and "Q" of the cylinder respectively. The cylinder has the area of cross section , shown as <br>under <br>The length of the cylinder is $150cm$. The gas "X" intermixes with gas "Y" at the point . If the molecular weight of the gases X and Y is $20$ and $80$ respectively, then what will be the distance of point A from Q?

Question 19 :
The maximum speed of the molecules of a gas in a vessel is $400\ m/s$. If half of the gas leaks out, at constant temperature, the $rms$ speed of the remaining molecules will be-

Question 20 :
The de-Broglie wavelength of a particle accelerated with $150\ volt$ potential is $10^{-10}\ m$. If it accelerated by $600\ volts$ p.d. its wavelength will be

Question 21 :
The kinetic energy of $ 1g $ molecule of a gas at normal temperature and pressure is :<br/>

Question 22 :
The heat capacity at constant volume of a sample of a monoatomic gas is $35\ J/K$. Find&#160;the number of moles.

Question 23 :
An ideal monoatomic gas $(C_{v}=1.5\ R)$ initially at $298$ K and $1.013$ atm expands adiabatically irreversibly until it is in equilibrium with a constant external pressure of $0.1013$ atm. The final temperature (in Kelvin) of the gas is :

Question 24 :
The equation of a certain gas can be written as $\dfrac {T^{7/5}}{P^{2/5}}=constant$. Its specific heat at constant volume will be :

Question 25 :
How many degrees of freedom have the gas molecules if at S.T.P the gas density is 1.3 kg/m$^{3}$ and the velocity of sound in the gas is 330 m/sec?

Question 26 :
<b>A vessel of volume $0.3 \ { { m }^{ 3 } }$ contains Helium at $20.0$. The average kinetic energy per molecule for the gas is:</b>

Question 27 :
One mole each of monatomic, diatomic and triatomic ideal gases (kept in three different containers)&#160;whose initial volume and pressure are same, each is&#160;compressed till their pressure becomes twice the&#160;initial pressure. Then which of the following statements is/are incorrect?<br/>

Question 28 :
For silver , $C_p(JK^{-1}mol^{-1})=23+0.01T$. If the temperature (T) of 3 moles of silver is raised from $300K$ to $1000K$ at $1\ atm$ pressure, the value of $\Delta H$ will be close to:&#160;

Question 29 :
The heat capacity of a certain amount of a particular gas at constant pressure is greater than that at constant volume by 29.1 J/K. Match the items given in Column I with the items given in Column II.<table class="wysiwyg-table"><tbody><tr><td>List 1</td><td>List 2</td></tr><tr><td>If the gas is monatomic, heat capacity at constant volume</td><td>131 J/K</td></tr><tr><td>If the gas monatomic, heat capacity at constant pressure</td><td>43.7 J/K</td></tr><tr><td>If the gas is rigid diatomic, heat capacity at constant pressure</td><td>72.7 J/K</td></tr><tr><td>If the gas is vibrating diatomic, heat capacity at constant pressure</td><td>102 J/K</td></tr></tbody></table>

Question 30 :
On heating 128 g of oxygen gas from 0$^{\circ}$C to 100$^{\circ}$C, $C_V$ and $C_P$ on an average are 5 and 7 cal mol$^{-1}$ degree$^{-1}$, the value of $\Delta$U and $\Delta$H are respectively :