An isolated system-

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