An isolated system-

The pressure and temperature of two different gases are P and T with volume V for each.  If they are mixed, keeping the same volume and temperature, the pressure of the mixture will be:

A thermally insulated piston divides a container into two compartments.  Volume, temperature, and pressure in the right compartment are \(2V,\) \(T\) and \(2P,\) while in the left compartment the respective values are \(V,\) \(T\) and \(P.\) If the piston can slide freely, then in the final equilibrium position, the volume of the right-hand compartment will be:

Gas is found to obey the law $P^{2}V$ = constant. The initial temperature and volume are $T_0$ and $V_0$. If the gas expands to a volume $3V_0$, its final temperature becomes:

1. $\frac{T_0}{3}$           

2. $\frac{T_0}{\sqrt{3}}$

3. $3T_0$           

4. None of these

At constant temperature, on increasing the pressure of a gas by 5% , its volume will decrease by:          

1. 5%       

2. 5.26 %         

3. 4.26 %         

4. 4.76 %

Volume, pressure, and temperature of an ideal gas are \(V,\) \(P,\) and \(T\) respectively. If the mass of its molecule is \(m,\) then its density is:
[\(k\)=Boltzmann's constant]

On \(0^{\circ}\text{C}\), the pressure measured by the barometer is \(760\) mm.  What will be pressure at \(100^{\circ}\text{C}\)?
1. \(760~\text{mm}\)
2. \(730~\text{mm}\)
3. \(780~\text{mm}\)
4. None of these

By what percentage, should the pressure of a given mass of gas be increased, so as to decrease its volume by 10% at a constant temperature?

1. 5%     

2. 7.2 %       

3. 12.5%         

4. 11.1%

In the adjacent V-T diagram, what is the relation between $P_{1<mspace\; width="1em"></mspace>}and<mspace\; width="1em"></mspace>P_2$ ?

1. $P_2=P_1$                               

2. $P_2>P_1$

3. $P_2<P_1$                                 

4. cannot be predicated
 

Which one of the following graph is correct at constant pressure?

1.		2.
3.		4.